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ORCIDBibTeX records: Chi-Wang Shu
@article{DBLP:journals/jcphy/ChengLS24,
author = {Juan Cheng and
Nuo Lei and
Chi{-}Wang Shu},
title = {High order conservative Lagrangian scheme for three-temperature radiation
hydrodynamics},
journal = {J. Comput. Phys.},
volume = {496},
pages = {112595},
year = {2024},
url = {https://doi.org/10.1016/j.jcp.2023.112595},
doi = {10.1016/J.JCP.2023.112595},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChengLS24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2402-10152,
author = {Shihao Liu and
Tingting Li and
Ziqiang Cheng and
Yan Jiang and
Chi{-}Wang Shu and
Mengping Zhang},
title = {A new type of simplified inverse Lax-Wendroff boundary treatment {I:}
hyperbolic conservation laws},
journal = {CoRR},
volume = {abs/2402.10152},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2402.10152},
doi = {10.48550/ARXIV.2402.10152},
eprinttype = {arXiv},
eprint = {2402.10152},
timestamp = {Tue, 20 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2402-10152.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2402-11617,
author = {Adi Ditkowski and
Anne Le Blanc and
Chi{-}Wang Shu},
title = {A high order, block finite difference, error inhibiting scheme for
the transport equation},
journal = {CoRR},
volume = {abs/2402.11617},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2402.11617},
doi = {10.48550/ARXIV.2402.11617},
eprinttype = {arXiv},
eprint = {2402.11617},
timestamp = {Mon, 26 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2402-11617.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2403-01264,
author = {Dinshaw S. Balsara and
Deepak Bhoriya and
Chi{-}Wang Shu and
Harish Kumar},
title = {Efficient Alternative Finite Difference {WENO} Schemes for Hyperbolic
Conservation Laws},
journal = {CoRR},
volume = {abs/2403.01264},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2403.01264},
doi = {10.48550/ARXIV.2403.01264},
eprinttype = {arXiv},
eprint = {2403.01264},
timestamp = {Tue, 02 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2403-01264.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2403-01266,
author = {Dinshaw S. Balsara and
Deepak Bhoriya and
Chi{-}Wang Shu and
Harish Kumar},
title = {Efficient Alternative Finite Difference {WENO} Schemes for Hyperbolic
Systems with Non-Conservative Products},
journal = {CoRR},
volume = {abs/2403.01266},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2403.01266},
doi = {10.48550/ARXIV.2403.01266},
eprinttype = {arXiv},
eprint = {2403.01266},
timestamp = {Tue, 02 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2403-01266.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cacie/YangWHSZ23,
author = {Liangze Yang and
Sze Chun Wong and
H. W. Ho and
Chi{-}Wang Shu and
Mengping Zhang},
title = {Bilevel optimization of a housing allocation and traffic emission
problem in a predictive dynamic continuum transportation system},
journal = {Comput. Aided Civ. Infrastructure Eng.},
volume = {38},
number = {18},
pages = {2576--2596},
year = {2023},
url = {https://doi.org/10.1111/mice.13007},
doi = {10.1111/MICE.13007},
timestamp = {Fri, 15 Mar 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cacie/YangWHSZ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/LingSY23,
author = {Dan Ling and
Chi{-}Wang Shu and
Wenjing Yan},
title = {Local discontinuous Galerkin methods for diffusive-viscous wave equations},
journal = {J. Comput. Appl. Math.},
volume = {419},
pages = {114690},
year = {2023},
url = {https://doi.org/10.1016/j.cam.2022.114690},
doi = {10.1016/J.CAM.2022.114690},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/LingSY23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LiuOLS23,
author = {Siting Liu and
Stanley J. Osher and
Wuchen Li and
Chi{-}Wang Shu},
title = {A primal-dual approach for solving conservation laws with implicit
in time approximations},
journal = {J. Comput. Phys.},
volume = {472},
pages = {111654},
year = {2023},
url = {https://doi.org/10.1016/j.jcp.2022.111654},
doi = {10.1016/J.JCP.2022.111654},
timestamp = {Mon, 08 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LiuOLS23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LiuJSZZ23,
author = {Shihao Liu and
Yan Jiang and
Chi{-}Wang Shu and
Mengping Zhang and
Shuhai Zhang},
title = {A high order moving boundary treatment for convection-diffusion equations},
journal = {J. Comput. Phys.},
volume = {473},
pages = {111752},
year = {2023},
url = {https://doi.org/10.1016/j.jcp.2022.111752},
doi = {10.1016/J.JCP.2022.111752},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LiuJSZZ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/GuLCS23,
author = {Xiaolu Gu and
Yue Li and
Juan Cheng and
Chi{-}Wang Shu},
title = {A high order positivity-preserving conservative {WENO} remapping method
based on a moving mesh solver},
journal = {J. Comput. Phys.},
volume = {473},
pages = {111754},
year = {2023},
url = {https://doi.org/10.1016/j.jcp.2022.111754},
doi = {10.1016/J.JCP.2022.111754},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/GuLCS23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LeiCS23,
author = {Nuo Lei and
Juan Cheng and
Chi{-}Wang Shu},
title = {A high order positivity-preserving polynomial projection remapping
method},
journal = {J. Comput. Phys.},
volume = {474},
pages = {111826},
year = {2023},
url = {https://doi.org/10.1016/j.jcp.2022.111826},
doi = {10.1016/J.JCP.2022.111826},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LeiCS23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/SterckSA23,
author = {Hans De Sterck and
Chi{-}Wang Shu and
R{\'{e}}mi Abgrall},
title = {Enhancing reproducibility of research papers in SISC, {JSC} and {JCP}},
journal = {J. Comput. Phys.},
volume = {484},
pages = {112088},
year = {2023},
url = {https://doi.org/10.1016/j.jcp.2023.112088},
doi = {10.1016/J.JCP.2023.112088},
timestamp = {Thu, 20 Apr 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/SterckSA23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/XuS23,
author = {Ziyao Xu and
Chi{-}Wang Shu},
title = {On the conservation property of positivity-preserving discontinuous
Galerkin methods for stationary hyperbolic equations},
journal = {J. Comput. Phys.},
volume = {490},
pages = {112304},
year = {2023},
url = {https://doi.org/10.1016/j.jcp.2023.112304},
doi = {10.1016/J.JCP.2023.112304},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/XuS23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BorgesCSDGS23,
author = {Rafael B. de R. Borges and
Fl{\'{a}}vio C. Colman and
Nicholas D. P. da Silva and
Gabriela W. O. Dicati and
Jos{\'{e}} E. Gubaua and
Chi{-}Wang Shu},
title = {Approximated decompositions for computational continuum mechanics},
journal = {J. Comput. Phys.},
volume = {495},
pages = {112576},
year = {2023},
url = {https://doi.org/10.1016/j.jcp.2023.112576},
doi = {10.1016/J.JCP.2023.112576},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/BorgesCSDGS23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/SterckSA23,
author = {Hans De Sterck and
Chi{-}Wang Shu and
R{\'{e}}mi Abgrall},
title = {Enhancing Reproducibility of Research Papers in SISC, {JSC} and {JCP}},
journal = {J. Sci. Comput.},
volume = {95},
number = {3},
pages = {77},
year = {2023},
url = {https://doi.org/10.1007/s10915-023-02193-7},
doi = {10.1007/S10915-023-02193-7},
timestamp = {Tue, 12 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/SterckSA23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/SterckSA23a,
author = {Hans De Sterck and
Chi{-}Wang Shu and
R{\'{e}}mi Abgrall},
title = {Correction to: Enhancing Reproducibility of Research Papers in SISC,
{JSC} and {JCP}},
journal = {J. Sci. Comput.},
volume = {95},
number = {3},
pages = {86},
year = {2023},
url = {https://doi.org/10.1007/s10915-023-02224-3},
doi = {10.1007/S10915-023-02224-3},
timestamp = {Tue, 12 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/SterckSA23a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/WangLSZ23,
author = {Haijin Wang and
Fengyan Li and
Chi{-}Wang Shu and
Qiang Zhang},
title = {Uniform stability for local discontinuous Galerkin methods with implicit-explicit
Runge-Kutta time discretizations for linear convection-diffusion equation},
journal = {Math. Comput.},
volume = {92},
number = {344},
pages = {2475--2513},
year = {2023},
url = {https://doi.org/10.1090/mcom/3842},
doi = {10.1090/MCOM/3842},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/WangLSZ23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/WuJS23,
author = {Kailiang Wu and
Haili Jiang and
Chi{-}Wang Shu},
title = {Provably Positive Central Discontinuous Galerkin Schemes via Geometric
Quasilinearization for Ideal {MHD} Equations},
journal = {{SIAM} J. Numer. Anal.},
volume = {61},
number = {1},
pages = {250--285},
year = {2023},
url = {https://doi.org/10.1137/22m1486996},
doi = {10.1137/22M1486996},
timestamp = {Fri, 22 Mar 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/WuJS23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamrev/WuS23,
author = {Kailiang Wu and
Chi{-}Wang Shu},
title = {Geometric Quasilinearization Framework for Analysis and Design of
Bound-Preserving Schemes},
journal = {{SIAM} Rev.},
volume = {65},
number = {4},
pages = {1031--1073},
year = {2023},
url = {https://doi.org/10.1137/21m1458247},
doi = {10.1137/21M1458247},
timestamp = {Sun, 10 Dec 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamrev/WuS23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/SterckSA23,
author = {Hans De Sterck and
Chi{-}Wang Shu and
R{\'{e}}mi Abgrall},
title = {Enhancing Reproducibility of Research Papers in SISC, JSC, and {JCP}},
journal = {{SIAM} J. Sci. Comput.},
volume = {45},
number = {4},
pages = {vii},
year = {2023},
url = {https://doi.org/10.1137/23m1564286},
doi = {10.1137/23M1564286},
timestamp = {Wed, 27 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/SterckSA23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2303-17672,
author = {Dinshaw S. Balsara and
Deepak Bhoriya and
Chi{-}Wang Shu and
Harish Kumar},
title = {Efficient Finite Difference {WENO} Scheme for Hyperbolic Systems with
Non-Conservative Products},
journal = {CoRR},
volume = {abs/2303.17672},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2303.17672},
doi = {10.48550/ARXIV.2303.17672},
eprinttype = {arXiv},
eprint = {2303.17672},
timestamp = {Mon, 17 Apr 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2303-17672.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/LiSY22,
author = {Jichun Li and
Chi{-}Wang Shu and
Wei Yang},
title = {Development and analysis of two new finite element schemes for a time-domain
carpet cloak model},
journal = {Adv. Comput. Math.},
volume = {48},
number = {3},
pages = {24},
year = {2022},
url = {https://doi.org/10.1007/s10444-022-09948-0},
doi = {10.1007/S10444-022-09948-0},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/adcm/LiSY22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cam/AmatASY22,
author = {Sergio Amat and
Juan Ruiz {\'{A}}lvarez and
Chi{-}Wang Shu and
Dionisio F. Y{\'{a}}{\~{n}}ez},
title = {On the approximation of derivative values using a {WENO} algorithm
with progressive order of accuracy close to discontinuities},
journal = {Comput. Appl. Math.},
volume = {41},
number = {6},
year = {2022},
url = {https://doi.org/10.1007/s40314-022-02004-z},
doi = {10.1007/S40314-022-02004-Z},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cam/AmatASY22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/LiLS22,
author = {Tingting Li and
Jianfang Lu and
Chi{-}Wang Shu},
title = {Stability analysis of inverse Lax-Wendroff boundary treatment of high
order compact difference schemes for parabolic equations},
journal = {J. Comput. Appl. Math.},
volume = {400},
pages = {113711},
year = {2022},
url = {https://doi.org/10.1016/j.cam.2021.113711},
doi = {10.1016/J.CAM.2021.113711},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/LiLS22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LeiCS22,
author = {Nuo Lei and
Juan Cheng and
Chi{-}Wang Shu},
title = {High order entropy stable and positivity-preserving discontinuous
Galerkin method for the nonlocal electron heat transport model},
journal = {J. Comput. Phys.},
volume = {454},
pages = {110945},
year = {2022},
url = {https://doi.org/10.1016/j.jcp.2022.110945},
doi = {10.1016/J.JCP.2022.110945},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LeiCS22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/SunSX22,
author = {Jiawei Sun and
Chi{-}Wang Shu and
Yulong Xing},
title = {Multi-symplectic discontinuous Galerkin methods for the stochastic
Maxwell equations with additive noise},
journal = {J. Comput. Phys.},
volume = {461},
pages = {111199},
year = {2022},
url = {https://doi.org/10.1016/j.jcp.2022.111199},
doi = {10.1016/J.JCP.2022.111199},
timestamp = {Mon, 13 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/SunSX22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/TanCS22,
author = {Meiqi Tan and
Juan Cheng and
Chi{-}Wang Shu},
title = {Stability of high order finite difference and local discontinuous
Galerkin schemes with explicit-implicit-null time-marching for high
order dissipative and dispersive equations},
journal = {J. Comput. Phys.},
volume = {464},
pages = {111314},
year = {2022},
url = {https://doi.org/10.1016/j.jcp.2022.111314},
doi = {10.1016/J.JCP.2022.111314},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/TanCS22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/XuS22,
author = {Ziyao Xu and
Chi{-}Wang Shu},
title = {High order conservative positivity-preserving discontinuous Galerkin
method for stationary hyperbolic equations},
journal = {J. Comput. Phys.},
volume = {466},
pages = {111410},
year = {2022},
url = {https://doi.org/10.1016/j.jcp.2022.111410},
doi = {10.1016/J.JCP.2022.111410},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/XuS22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DuSZ22,
author = {Jie Du and
Chi{-}Wang Shu and
Xinghui Zhong},
title = {An improved simple {WENO} limiter for discontinuous Galerkin methods
solving hyperbolic systems on unstructured meshes},
journal = {J. Comput. Phys.},
volume = {467},
pages = {111424},
year = {2022},
url = {https://doi.org/10.1016/j.jcp.2022.111424},
doi = {10.1016/J.JCP.2022.111424},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/DuSZ22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/XuS22a,
author = {Ziyao Xu and
Chi{-}Wang Shu},
title = {Third order maximum-principle-satisfying and positivity-preserving
Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation
laws},
journal = {J. Comput. Phys.},
volume = {470},
pages = {111591},
year = {2022},
url = {https://doi.org/10.1016/j.jcp.2022.111591},
doi = {10.1016/J.JCP.2022.111591},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/XuS22a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ZhongS22,
author = {Xinghui Zhong and
Chi{-}Wang Shu},
title = {Entropy Stable Galerkin Methods with Suitable Quadrature Rules for
Hyperbolic Systems with Random Inputs},
journal = {J. Sci. Comput.},
volume = {92},
number = {1},
pages = {14},
year = {2022},
url = {https://doi.org/10.1007/s10915-022-01866-z},
doi = {10.1007/S10915-022-01866-Z},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/ZhongS22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/AiXSZ22,
author = {Jingqi Ai and
Yuan Xu and
Chi{-}Wang Shu and
Qiang Zhang},
title = {L{\textdollar}{\^{}}2{\textdollar} Error Estimate to Smooth Solutions
of High Order Runge-Kutta Discontinuous Galerkin Method for Scalar
Nonlinear Conservation Laws with and without Sonic Points},
journal = {{SIAM} J. Numer. Anal.},
volume = {60},
number = {4},
pages = {1741--1773},
year = {2022},
url = {https://doi.org/10.1137/21m1435495},
doi = {10.1137/21M1435495},
timestamp = {Thu, 25 Aug 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/AiXSZ22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/LiuLS22,
author = {Yong Liu and
Jianfang Lu and
Chi{-}Wang Shu},
title = {An Essentially Oscillation-Free Discontinuous Galerkin Method for
Hyperbolic Systems},
journal = {{SIAM} J. Sci. Comput.},
volume = {44},
number = {1},
pages = {230},
year = {2022},
url = {https://doi.org/10.1137/21m140835x},
doi = {10.1137/21M140835X},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/LiuLS22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/transci/YangWHZS22,
author = {Liangze Yang and
Sze Chun Wong and
H. W. Ho and
Mengping Zhang and
Chi{-}Wang Shu},
title = {Effects of Air Quality on Housing Location: {A} Predictive Dynamic
Continuum User-Optimal Approach},
journal = {Transp. Sci.},
volume = {56},
number = {5},
pages = {1111--1134},
year = {2022},
url = {https://doi.org/10.1287/trsc.2021.1116},
doi = {10.1287/TRSC.2021.1116},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/transci/YangWHZS22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2201-12193,
author = {Jiayin Li and
Chi{-}Wang Shu and
Jianxian Qiu},
title = {Moment-based multi-resolution {HWENO} scheme for hyperbolic conservation
laws},
journal = {CoRR},
volume = {abs/2201.12193},
year = {2022},
url = {https://arxiv.org/abs/2201.12193},
eprinttype = {arXiv},
eprint = {2201.12193},
timestamp = {Wed, 02 Feb 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2201-12193.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2203-14853,
author = {Kailiang Wu and
Haili Jiang and
Chi{-}Wang Shu},
title = {Provably Positive Central {DG} Schemes via Geometric Quasilinearization
for Ideal {MHD} Equations},
journal = {CoRR},
volume = {abs/2203.14853},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2203.14853},
doi = {10.48550/ARXIV.2203.14853},
eprinttype = {arXiv},
eprint = {2203.14853},
timestamp = {Mon, 04 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2203-14853.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2204-09632,
author = {Jiawei Sun and
Chi{-}Wang Shu and
Yulong Xing},
title = {Discontinuous Galerkin methods for stochastic Maxwell equations with
multiplicative noise},
journal = {CoRR},
volume = {abs/2204.09632},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2204.09632},
doi = {10.48550/ARXIV.2204.09632},
eprinttype = {arXiv},
eprint = {2204.09632},
timestamp = {Mon, 25 Apr 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2204-09632.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2205-01488,
author = {Juntao Huang and
Thomas Izgin and
Stefan Kopecz and
Andreas Meister and
Chi{-}Wang Shu},
title = {On the stability of strong-stability-preserving modified Patankar
Runge-Kutta schemes},
journal = {CoRR},
volume = {abs/2205.01488},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2205.01488},
doi = {10.48550/ARXIV.2205.01488},
eprinttype = {arXiv},
eprint = {2205.01488},
timestamp = {Wed, 07 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2205-01488.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2207-07234,
author = {Siting Liu and
Stanley J. Osher and
Wuchen Li and
Chi{-}Wang Shu},
title = {A primal-dual approach for solving conservation laws with implicit
in time approximations},
journal = {CoRR},
volume = {abs/2207.07234},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2207.07234},
doi = {10.48550/ARXIV.2207.07234},
eprinttype = {arXiv},
eprint = {2207.07234},
timestamp = {Mon, 08 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2207-07234.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/AmatASY21,
author = {Sergio Amat and
Juan Ruiz {\'{A}}lvarez and
Chi{-}Wang Shu and
Dionisio F. Y{\'{a}}{\~{n}}ez},
title = {Cell-average {WENO} with progressive order of accuracy close to discontinuities
with applications to signal processing},
journal = {Appl. Math. Comput.},
volume = {403},
pages = {126131},
year = {2021},
url = {https://doi.org/10.1016/j.amc.2021.126131},
doi = {10.1016/J.AMC.2021.126131},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/AmatASY21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/TaoXS21,
author = {Qi Tao and
Yan Xu and
Chi{-}Wang Shu},
title = {A discontinuous Galerkin method and its error estimate for nonlinear
fourth-order wave equations},
journal = {J. Comput. Appl. Math.},
volume = {386},
pages = {113230},
year = {2021},
url = {https://doi.org/10.1016/j.cam.2020.113230},
doi = {10.1016/J.CAM.2020.113230},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/TaoXS21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LuSTZ21,
author = {Jianfang Lu and
Chi{-}Wang Shu and
Sirui Tan and
Mengping Zhang},
title = {An inverse Lax-Wendroff procedure for hyperbolic conservation laws
with changing wind direction on the boundary},
journal = {J. Comput. Phys.},
volume = {426},
pages = {109940},
year = {2021},
url = {https://doi.org/10.1016/j.jcp.2020.109940},
doi = {10.1016/J.JCP.2020.109940},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LuSTZ21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LiuSZ21,
author = {Yun{-}Long Liu and
Chi{-}Wang Shu and
A{-}Man Zhang},
title = {Weighted ghost fluid discontinuous Galerkin method for two-medium
problems},
journal = {J. Comput. Phys.},
volume = {426},
pages = {109956},
year = {2021},
url = {https://doi.org/10.1016/j.jcp.2020.109956},
doi = {10.1016/J.JCP.2020.109956},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LiuSZ21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhengSQ21,
author = {Feng Zheng and
Chi{-}Wang Shu and
Jianxian Qiu},
title = {A high order conservative finite difference scheme for compressible
two-medium flows},
journal = {J. Comput. Phys.},
volume = {445},
pages = {110597},
year = {2021},
url = {https://doi.org/10.1016/j.jcp.2021.110597},
doi = {10.1016/J.JCP.2021.110597},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhengSQ21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LiSQ21,
author = {Jiayin Li and
Chi{-}Wang Shu and
Jianxian Qiu},
title = {Multi-resolution {HWENO} schemes for hyperbolic conservation laws},
journal = {J. Comput. Phys.},
volume = {446},
pages = {110653},
year = {2021},
url = {https://doi.org/10.1016/j.jcp.2021.110653},
doi = {10.1016/J.JCP.2021.110653},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LiSQ21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/WuS21,
author = {Kailiang Wu and
Chi{-}Wang Shu},
title = {Provably physical-constraint-preserving discontinuous Galerkin methods
for multidimensional relativistic {MHD} equations},
journal = {Numerische Mathematik},
volume = {148},
number = {3},
pages = {699--741},
year = {2021},
url = {https://doi.org/10.1007/s00211-021-01209-4},
doi = {10.1007/S00211-021-01209-4},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/nm/WuS21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/LuLS21,
author = {Jianfang Lu and
Yong Liu and
Chi{-}Wang Shu},
title = {An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic
Conservation Laws},
journal = {{SIAM} J. Numer. Anal.},
volume = {59},
number = {3},
pages = {1299--1324},
year = {2021},
url = {https://doi.org/10.1137/20M1354192},
doi = {10.1137/20M1354192},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/LuLS21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2103-14352,
author = {Qian Zhang and
Yan Xu and
Chi{-}Wang Shu},
title = {Dissipative and conservative local discontinuous Galerkin methods
for the Fornberg-Whitham type equations},
journal = {CoRR},
volume = {abs/2103.14352},
year = {2021},
url = {https://arxiv.org/abs/2103.14352},
eprinttype = {arXiv},
eprint = {2103.14352},
timestamp = {Wed, 07 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2103-14352.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2110-04826,
author = {Jiawei Sun and
Chi{-}Wang Shu and
Yulong Xing},
title = {Multi-symplectic discontinuous Galerkin methods for the stochastic
Maxwell equations with additive noise},
journal = {CoRR},
volume = {abs/2110.04826},
year = {2021},
url = {https://arxiv.org/abs/2110.04826},
eprinttype = {arXiv},
eprint = {2110.04826},
timestamp = {Thu, 21 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2110-04826.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2111-04722,
author = {Kailiang Wu and
Chi{-}Wang Shu},
title = {Geometric Quasilinearization Framework for Analysis and Design of
Bound-Preserving Schemes},
journal = {CoRR},
volume = {abs/2111.04722},
year = {2021},
url = {https://arxiv.org/abs/2111.04722},
eprinttype = {arXiv},
eprint = {2111.04722},
timestamp = {Wed, 10 Nov 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2111-04722.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/actanum/Shu20,
author = {Chi{-}Wang Shu},
title = {Essentially non-oscillatory and weighted essentially non-oscillatory
schemes},
journal = {Acta Numer.},
volume = {29},
pages = {701--762},
year = {2020},
url = {https://doi.org/10.1017/S0962492920000057},
doi = {10.1017/S0962492920000057},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/actanum/Shu20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/AmatRS20,
author = {Sergio Amat and
Juan Ruiz and
Chi{-}Wang Shu},
title = {On a new {WENO} algorithm of order 2r with improved accuracy close
to discontinuities},
journal = {Appl. Math. Lett.},
volume = {105},
pages = {106298},
year = {2020},
url = {https://doi.org/10.1016/j.aml.2020.106298},
doi = {10.1016/J.AML.2020.106298},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/appml/AmatRS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhuQS20,
author = {Jun Zhu and
Jianxian Qiu and
Chi{-}Wang Shu},
title = {High-order Runge-Kutta discontinuous Galerkin methods with a new type
of multi-resolution {WENO} limiters},
journal = {J. Comput. Phys.},
volume = {404},
year = {2020},
url = {https://doi.org/10.1016/j.jcp.2019.109105},
doi = {10.1016/J.JCP.2019.109105},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhuQS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhuS20,
author = {Jun Zhu and
Chi{-}Wang Shu},
title = {A new type of third-order finite volume multi-resolution {WENO} schemes
on tetrahedral meshes},
journal = {J. Comput. Phys.},
volume = {406},
pages = {109212},
year = {2020},
url = {https://doi.org/10.1016/j.jcp.2019.109212},
doi = {10.1016/J.JCP.2019.109212},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhuS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DingSZ20,
author = {Shengrong Ding and
Chi{-}Wang Shu and
Mengping Zhang},
title = {On the conservation of finite difference {WENO} schemes in non-rectangular
domains using the inverse Lax-Wendroff boundary treatments},
journal = {J. Comput. Phys.},
volume = {415},
pages = {109516},
year = {2020},
url = {https://doi.org/10.1016/j.jcp.2020.109516},
doi = {10.1016/J.JCP.2020.109516},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/DingSZ20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChengSS20,
author = {Juan Cheng and
Chi{-}Wang Shu and
Peng Song},
title = {High order conservative Lagrangian schemes for one-dimensional radiation
hydrodynamics equations in the equilibrium-diffusion limit},
journal = {J. Comput. Phys.},
volume = {421},
pages = {109724},
year = {2020},
url = {https://doi.org/10.1016/j.jcp.2020.109724},
doi = {10.1016/J.JCP.2020.109724},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChengSS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/LiST20,
author = {Yunzhang Li and
Chi{-}Wang Shu and
Shanjian Tang},
title = {An Ultra-Weak Discontinuous Galerkin Method with Implicit-Explicit
Time-Marching for Generalized Stochastic KdV Equations},
journal = {J. Sci. Comput.},
volume = {82},
number = {3},
pages = {61},
year = {2020},
url = {https://doi.org/10.1007/s10915-020-01162-8},
doi = {10.1007/S10915-020-01162-8},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/LiST20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/XuMS020,
author = {Yuan Xu and
Xiong Meng and
Chi{-}Wang Shu and
Qiang Zhang},
title = {Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin
Methods for a Linear Hyperbolic Equation},
journal = {J. Sci. Comput.},
volume = {84},
number = {1},
pages = {23},
year = {2020},
url = {https://doi.org/10.1007/s10915-020-01274-1},
doi = {10.1007/S10915-020-01274-1},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/XuMS020.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mmas/CarrilloKPS20,
author = {Jos{\'{e}} A. Carrillo and
Serafim Kalliadasis and
Sergio P. Perez and
Chi{-}Wang Shu},
title = {Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with
General Free Energy},
journal = {Multiscale Model. Simul.},
volume = {18},
number = {1},
pages = {502--541},
year = {2020},
url = {https://doi.org/10.1137/18M1230050},
doi = {10.1137/18M1230050},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/mmas/CarrilloKPS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/TaoXS20,
author = {Qi Tao and
Yan Xu and
Chi{-}Wang Shu},
title = {An ultraweak-local discontinuous Galerkin method for PDEs with high
order spatial derivatives},
journal = {Math. Comput.},
volume = {89},
number = {326},
pages = {2753--2783},
year = {2020},
url = {https://doi.org/10.1090/mcom/3562},
doi = {10.1090/MCOM/3562},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/TaoXS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamam/FanS20,
author = {Haitao Fan and
Chi{-}Wang Shu},
title = {Existence and Computation of Solutions of a Model of Traffic Involving
Hysteresis},
journal = {{SIAM} J. Appl. Math.},
volume = {80},
number = {6},
pages = {2319--2337},
year = {2020},
url = {https://doi.org/10.1137/19M1269567},
doi = {10.1137/19M1269567},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamam/FanS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/XuSZ20,
author = {Yuan Xu and
Chi{-}Wang Shu and
Qiang Zhang},
title = {Error Estimate of the Fourth-Order Runge-Kutta Discontinuous Galerkin
Methods for Linear Hyperbolic Equations},
journal = {{SIAM} J. Numer. Anal.},
volume = {58},
number = {5},
pages = {2885--2914},
year = {2020},
url = {https://doi.org/10.1137/19M1280077},
doi = {10.1137/19M1280077},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/XuSZ20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/AmatRSY20,
author = {Sergio Amat and
Juan Ruiz and
Chi{-}Wang Shu and
Dionisio F. Y{\'{a}}{\~{n}}ez},
title = {A New WENO-2r Algorithm with Progressive Order of Accuracy Close to
Discontinuities},
journal = {{SIAM} J. Numer. Anal.},
volume = {58},
number = {6},
pages = {3448--3474},
year = {2020},
url = {https://doi.org/10.1137/20M1337090},
doi = {10.1137/20M1337090},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/AmatRSY20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/LiST20,
author = {Yunzhang Li and
Chi{-}Wang Shu and
Shanjian Tang},
title = {A Discontinuous Galerkin Method for Stochastic Conservation Laws},
journal = {{SIAM} J. Sci. Comput.},
volume = {42},
number = {1},
pages = {A54--A86},
year = {2020},
url = {https://doi.org/10.1137/19M125710X},
doi = {10.1137/19M125710X},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/LiST20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/WuS20,
author = {Kailiang Wu and
Chi{-}Wang Shu},
title = {Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical
Schemes for Relativistic {MHD} Equations},
journal = {{SIAM} J. Sci. Comput.},
volume = {42},
number = {4},
pages = {A2230--A2261},
year = {2020},
url = {https://doi.org/10.1137/19M1275590},
doi = {10.1137/19M1275590},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/WuS20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@incollection{DBLP:books/ams/20/Shu20,
author = {Chi{-}Wang Shu},
editor = {Susanne C. Brenner and
Igor E. Shparlinski and
Chi{-}Wang Shu and
Daniel B. Szyld},
title = {A class of bound-preserving high order schemes: The main ideas and
recent developments},
booktitle = {75 Years of Mathematics of Computation},
series = {Contemporary Mathematics},
volume = {754},
publisher = {American Mathematical Society},
year = {2020},
url = {http://www.ams.org/books/conm/754/15140},
timestamp = {Tue, 03 Nov 2020 17:02:04 +0100},
biburl = {https://dblp.org/rec/books/ams/20/Shu20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@book{DBLP:books/ams/20/BSSS2020,
editor = {Susanne C. Brenner and
Igor E. Shparlinski and
Chi{-}Wang Shu and
Daniel B. Szyld},
title = {75 Years of Mathematics of Computation},
series = {Contemporary Mathematics},
volume = {754},
publisher = {American Mathematical Society},
year = {2020},
url = {http://www.ams.org/books/conm/754},
isbn = {978-1-4704-5163-9},
timestamp = {Tue, 03 Nov 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/books/ams/20/BSSS2020.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2001-00971,
author = {Zheng Sun and
Chi{-}Wang Shu},
title = {Error analysis of Runge-Kutta discontinuous Galerkin methods for linear
time-dependent partial differential equations},
journal = {CoRR},
volume = {abs/2001.00971},
year = {2020},
url = {http://arxiv.org/abs/2001.00971},
eprinttype = {arXiv},
eprint = {2001.00971},
timestamp = {Fri, 10 Jan 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2001-00971.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2001-03825,
author = {Yong Liu and
Chi{-}Wang Shu and
Mengping Zhang},
title = {Sub-optimal convergence of discontinuous Galerkin methods with central
fluxes for even degree polynomial approximations},
journal = {CoRR},
volume = {abs/2001.03825},
year = {2020},
url = {https://arxiv.org/abs/2001.03825},
eprinttype = {arXiv},
eprint = {2001.03825},
timestamp = {Fri, 17 Jan 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2001-03825.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2002-03371,
author = {Kailiang Wu and
Chi{-}Wang Shu},
title = {Provably Physical-Constraint-Preserving Discontinuous Galerkin Methods
for Multidimensional Relativistic {MHD} Equations},
journal = {CoRR},
volume = {abs/2002.03371},
year = {2020},
url = {https://arxiv.org/abs/2002.03371},
eprinttype = {arXiv},
eprint = {2002.03371},
timestamp = {Wed, 12 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2002-03371.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2003-05798,
author = {Qi Tao and
Yan Xu and
Chi{-}Wang Shu},
title = {An ultraweak-local discontinuous Galerkin method for PDEs with high
order spatial derivatives},
journal = {CoRR},
volume = {abs/2003.05798},
year = {2020},
url = {https://arxiv.org/abs/2003.05798},
eprinttype = {arXiv},
eprint = {2003.05798},
timestamp = {Mon, 14 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2003-05798.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2005-06747,
author = {Sergio Amat and
Juan Ruiz and
Chi{-}Wang Shu and
Dionisio F. Y{\'{a}}{\~{n}}ez},
title = {A new WENO-2r algorithm with progressive order of accuracy close to
discontinuities},
journal = {CoRR},
volume = {abs/2005.06747},
year = {2020},
url = {https://arxiv.org/abs/2005.06747},
eprinttype = {arXiv},
eprint = {2005.06747},
timestamp = {Wed, 16 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2005-06747.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2009-09476,
author = {Sergio Amat and
Juan Ruiz and
Chi{-}Wang Shu and
Dionisio F. Y{\'{a}}{\~{n}}ez},
title = {Cell-average {WENO} with progressive order of accuracy close to discontinuities
with applications to signal processing},
journal = {CoRR},
volume = {abs/2009.09476},
year = {2020},
url = {https://arxiv.org/abs/2009.09476},
eprinttype = {arXiv},
eprint = {2009.09476},
timestamp = {Wed, 16 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2009-09476.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2011-14411,
author = {Adi Ditkowski and
Anne Le Blanc and
Chi{-}Wang Shu},
title = {Error Inhibiting Methods for Finite Elements},
journal = {CoRR},
volume = {abs/2011.14411},
year = {2020},
url = {https://arxiv.org/abs/2011.14411},
eprinttype = {arXiv},
eprint = {2011.14411},
timestamp = {Tue, 01 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2011-14411.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/FuS19,
author = {Guosheng Fu and
Chi{-}Wang Shu},
title = {An energy-conserving ultra-weak discontinuous Galerkin method for
the generalized Korteweg-de Vries equation},
journal = {J. Comput. Appl. Math.},
volume = {349},
pages = {41--51},
year = {2019},
url = {https://doi.org/10.1016/j.cam.2018.09.021},
doi = {10.1016/J.CAM.2018.09.021},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/FuS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhuS19,
author = {Jun Zhu and
Chi{-}Wang Shu},
title = {A new type of multi-resolution {WENO} schemes with increasingly higher
order of accuracy on triangular meshes},
journal = {J. Comput. Phys.},
volume = {392},
pages = {19--33},
year = {2019},
url = {https://doi.org/10.1016/j.jcp.2019.04.027},
doi = {10.1016/J.JCP.2019.04.027},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhuS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/FuS19,
author = {Guosheng Fu and
Chi{-}Wang Shu},
title = {Optimal energy-conserving discontinuous Galerkin methods for linear
symmetric hyperbolic systems},
journal = {J. Comput. Phys.},
volume = {394},
pages = {329--363},
year = {2019},
url = {https://doi.org/10.1016/j.jcp.2019.05.050},
doi = {10.1016/J.JCP.2019.05.050},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/FuS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/MazaheriSP19,
author = {Alireza Mazaheri and
Chi{-}Wang Shu and
Vincent Perrier},
title = {Bounded and compact weighted essentially nonoscillatory limiters for
discontinuous Galerkin schemes: Triangular elements},
journal = {J. Comput. Phys.},
volume = {395},
pages = {461--488},
year = {2019},
url = {https://doi.org/10.1016/j.jcp.2019.06.023},
doi = {10.1016/J.JCP.2019.06.023},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/MazaheriSP19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChengFSZ19,
author = {Ziqiang Cheng and
Jinwei Fang and
Chi{-}Wang Shu and
Mengping Zhang},
title = {Assessment of aeroacoustic resolution properties of {DG} schemes and
comparison with {DRP} schemes},
journal = {J. Comput. Phys.},
volume = {399},
year = {2019},
url = {https://doi.org/10.1016/j.jcp.2019.108960},
doi = {10.1016/J.JCP.2019.108960},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChengFSZ19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/HuangS19,
author = {Juntao Huang and
Chi{-}Wang Shu},
title = {Positivity-Preserving Time Discretizations for Production-Destruction
Equations with Applications to Non-equilibrium Flows},
journal = {J. Sci. Comput.},
volume = {78},
number = {3},
pages = {1811--1839},
year = {2019},
url = {https://doi.org/10.1007/s10915-018-0852-1},
doi = {10.1007/S10915-018-0852-1},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/HuangS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/HuangZS19,
author = {Juntao Huang and
Weifeng Zhao and
Chi{-}Wang Shu},
title = {A Third-Order Unconditionally Positivity-Preserving Scheme for Production-Destruction
Equations with Applications to Non-equilibrium Flows},
journal = {J. Sci. Comput.},
volume = {79},
number = {2},
pages = {1015--1056},
year = {2019},
url = {https://doi.org/10.1007/s10915-018-0881-9},
doi = {10.1007/S10915-018-0881-9},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/HuangZS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/LiuCCS19,
author = {Yong Liu and
Tianheng Chen and
Yanlai Chen and
Chi{-}Wang Shu},
title = {Certified Offline-Free Reduced Basis {(COFRB)} Methods for Stochastic
Differential Equations Driven by Arbitrary Types of Noise},
journal = {J. Sci. Comput.},
volume = {81},
number = {3},
pages = {1210--1239},
year = {2019},
url = {https://doi.org/10.1007/s10915-019-00976-5},
doi = {10.1007/S10915-019-00976-5},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/LiuCCS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/WangZS19,
author = {Haijin Wang and
Qiang Zhang and
Chi{-}Wang Shu},
title = {Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized
Alternating Numerical Fluxes for Convection-Diffusion Problems},
journal = {J. Sci. Comput.},
volume = {81},
number = {3},
pages = {2080--2114},
year = {2019},
url = {https://doi.org/10.1007/s10915-019-01072-4},
doi = {10.1007/S10915-019-01072-4},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/WangZS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/WangLZS19,
author = {Haijin Wang and
Yunxian Liu and
Qiang Zhang and
Chi{-}Wang Shu},
title = {Local discontinuous Galerkin methods with implicit-explicit time-marching
for time-dependent incompressible fluid flow},
journal = {Math. Comput.},
volume = {88},
number = {315},
pages = {91--121},
year = {2019},
url = {https://doi.org/10.1090/mcom/3312},
doi = {10.1090/MCOM/3312},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/WangLZS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/WuS19,
author = {Kailiang Wu and
Chi{-}Wang Shu},
title = {Provably positive high-order schemes for ideal magnetohydrodynamics:
analysis on general meshes},
journal = {Numerische Mathematik},
volume = {142},
number = {4},
pages = {995--1047},
year = {2019},
url = {https://doi.org/10.1007/s00211-019-01042-w},
doi = {10.1007/S00211-019-01042-W},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/nm/WuS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/SunS19,
author = {Zheng Sun and
Chi{-}Wang Shu},
title = {Strong Stability of Explicit Runge-Kutta Time Discretizations},
journal = {{SIAM} J. Numer. Anal.},
volume = {57},
number = {3},
pages = {1158--1182},
year = {2019},
url = {https://doi.org/10.1137/18M122892X},
doi = {10.1137/18M122892X},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/SunS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/AmatRS19,
author = {Sergio Amat and
Juan Ruiz and
Chi{-}Wang Shu},
title = {On New Strategies to Control the Accuracy of {WENO} Algorithms Close
to Discontinuities},
journal = {{SIAM} J. Numer. Anal.},
volume = {57},
number = {3},
pages = {1205--1237},
year = {2019},
url = {https://doi.org/10.1137/18M1214937},
doi = {10.1137/18M1214937},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/AmatRS19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/Xu0SW19,
author = {Yuan Xu and
Qiang Zhang and
Chi{-}Wang Shu and
Haijin Wang},
title = {The L\({}^{\mbox{2}}\)-norm Stability Analysis of Runge-Kutta Discontinuous
Galerkin Methods for Linear Hyperbolic Equations},
journal = {{SIAM} J. Numer. Anal.},
volume = {57},
number = {4},
pages = {1574--1601},
year = {2019},
url = {https://doi.org/10.1137/18M1230700},
doi = {10.1137/18M1230700},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/Xu0SW19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1907-07467,
author = {Kailiang Wu and
Chi{-}Wang Shu},
title = {Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical
Schemes for Relativistic {MHD} Equations},
journal = {CoRR},
volume = {abs/1907.07467},
year = {2019},
url = {http://arxiv.org/abs/1907.07467},
eprinttype = {arXiv},
eprint = {1907.07467},
timestamp = {Tue, 23 Jul 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1907-07467.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1912-11596,
author = {Zheng Sun and
Chi{-}Wang Shu},
title = {Enforcing strong stability of explicit Runge-Kutta methods with superviscosity},
journal = {CoRR},
volume = {abs/1912.11596},
year = {2019},
url = {http://arxiv.org/abs/1912.11596},
eprinttype = {arXiv},
eprint = {1912.11596},
timestamp = {Fri, 03 Jan 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1912-11596.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/ShiLS18,
author = {Cengke Shi and
Jichun Li and
Chi{-}Wang Shu},
title = {Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials
on unstructured meshes},
journal = {J. Comput. Appl. Math.},
volume = {342},
pages = {147--163},
year = {2018},
url = {https://doi.org/10.1016/j.cam.2018.04.011},
doi = {10.1016/J.CAM.2018.04.011},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/ShiLS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/WangZS18,
author = {Haijin Wang and
Qiang Zhang and
Chi{-}Wang Shu},
title = {Third order implicit-explicit Runge-Kutta local discontinuous Galerkin
methods with suitable boundary treatment for convection-diffusion
problems with Dirichlet boundary conditions},
journal = {J. Comput. Appl. Math.},
volume = {342},
pages = {164--179},
year = {2018},
url = {https://doi.org/10.1016/j.cam.2018.04.004},
doi = {10.1016/J.CAM.2018.04.004},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/WangZS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/SunCS18,
author = {Zheng Sun and
Jos{\'{e}} A. Carrillo and
Chi{-}Wang Shu},
title = {A discontinuous Galerkin method for nonlinear parabolic equations
and gradient flow problems with interaction potentials},
journal = {J. Comput. Phys.},
volume = {352},
pages = {76--104},
year = {2018},
url = {https://doi.org/10.1016/j.jcp.2017.09.050},
doi = {10.1016/J.JCP.2017.09.050},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/SunCS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LiuSZ18,
author = {Yong Liu and
Chi{-}Wang Shu and
Mengping Zhang},
title = {Entropy stable high order discontinuous Galerkin methods for ideal
compressible {MHD} on structured meshes},
journal = {J. Comput. Phys.},
volume = {354},
pages = {163--178},
year = {2018},
url = {https://doi.org/10.1016/j.jcp.2017.10.043},
doi = {10.1016/J.JCP.2017.10.043},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LiuSZ18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/HuangS18,
author = {Juntao Huang and
Chi{-}Wang Shu},
title = {Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin
methods for scalar hyperbolic equations with stiff source terms},
journal = {J. Comput. Phys.},
volume = {361},
pages = {111--135},
year = {2018},
url = {https://doi.org/10.1016/j.jcp.2018.01.051},
doi = {10.1016/J.JCP.2018.01.051},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/HuangS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhuS18,
author = {Jun Zhu and
Chi{-}Wang Shu},
title = {A new type of multi-resolution {WENO} schemes with increasingly higher
order of accuracy},
journal = {J. Comput. Phys.},
volume = {375},
pages = {659--683},
year = {2018},
url = {https://doi.org/10.1016/j.jcp.2018.09.003},
doi = {10.1016/J.JCP.2018.09.003},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhuS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ChenDS18,
author = {Yanlai Chen and
Bo Dong and
Chi{-}Wang Shu},
title = {A Foreword to the Special Issue in Honor of Professor Bernardo Cockburn
on His 60th Birthday: {A} Life Time of Discontinuous Schemings},
journal = {J. Sci. Comput.},
volume = {77},
number = {3},
pages = {1303--1309},
year = {2018},
url = {https://doi.org/10.1007/s10915-018-0845-0},
doi = {10.1007/S10915-018-0845-0},
timestamp = {Sun, 22 Oct 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/ChenDS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/LingCS18,
author = {Dan Ling and
Juan Cheng and
Chi{-}Wang Shu},
title = {Conservative High Order Positivity-Preserving Discontinuous Galerkin
Methods for Linear Hyperbolic and Radiative Transfer Equations},
journal = {J. Sci. Comput.},
volume = {77},
number = {3},
pages = {1801--1831},
year = {2018},
url = {https://doi.org/10.1007/s10915-018-0700-3},
doi = {10.1007/S10915-018-0700-3},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/LingCS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/LiuSZ18,
author = {Yong Liu and
Chi{-}Wang Shu and
Mengping Zhang},
title = {Optimal Error Estimates of the Semidiscrete Central Discontinuous
Galerkin Methods for Linear Hyperbolic Equations},
journal = {{SIAM} J. Numer. Anal.},
volume = {56},
number = {1},
pages = {520--541},
year = {2018},
url = {https://doi.org/10.1137/16M1089484},
doi = {10.1137/16M1089484},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/LiuSZ18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/CaoSYZ18,
author = {Waixiang Cao and
Chi{-}Wang Shu and
Yang Yang and
Zhimin Zhang},
title = {Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear
Hyperbolic Equations},
journal = {{SIAM} J. Numer. Anal.},
volume = {56},
number = {2},
pages = {732--765},
year = {2018},
url = {https://doi.org/10.1137/17M1128605},
doi = {10.1137/17M1128605},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/CaoSYZ18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/QinS18,
author = {Tong Qin and
Chi{-}Wang Shu},
title = {Implicit Positivity-Preserving High-Order Discontinuous Galerkin Methods
for Conservation Laws},
journal = {{SIAM} J. Sci. Comput.},
volume = {40},
number = {1},
year = {2018},
url = {https://doi.org/10.1137/17M112436X},
doi = {10.1137/17M112436X},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/QinS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/WuS18,
author = {Kailiang Wu and
Chi{-}Wang Shu},
title = {A Provably Positive Discontinuous Galerkin Method for Multidimensional
Ideal Magnetohydrodynamics},
journal = {{SIAM} J. Sci. Comput.},
volume = {40},
number = {5},
pages = {B1302--B1329},
year = {2018},
url = {https://doi.org/10.1137/18M1168042},
doi = {10.1137/18M1168042},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/WuS18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/LiSS17,
author = {Jichun Li and
Cengke Shi and
Chi{-}Wang Shu},
title = {Optimal non-dissipative discontinuous Galerkin methods for Maxwell's
equations in Drude metamaterials},
journal = {Comput. Math. Appl.},
volume = {73},
number = {8},
pages = {1760--1780},
year = {2017},
url = {https://doi.org/10.1016/j.camwa.2017.02.018},
doi = {10.1016/J.CAMWA.2017.02.018},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cma/LiSS17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ShenWPS17,
author = {Hua Shen and
Chih{-}Yung Wen and
Matteo Parsani and
Chi{-}Wang Shu},
title = {Maximum-principle-satisfying space-time conservation element and solution
element scheme applied to compressible multifluids},
journal = {J. Comput. Phys.},
volume = {330},
pages = {668--692},
year = {2017},
url = {https://doi.org/10.1016/j.jcp.2016.10.036},
doi = {10.1016/J.JCP.2016.10.036},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ShenWPS17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhengSQ17,
author = {Feng Zheng and
Chi{-}Wang Shu and
Jianxian Qiu},
title = {Finite difference Hermite {WENO} schemes for the Hamilton-Jacobi equations},
journal = {J. Comput. Phys.},
volume = {337},
pages = {27--41},
year = {2017},
url = {https://doi.org/10.1016/j.jcp.2017.02.033},
doi = {10.1016/J.JCP.2017.02.033},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhengSQ17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChenS17,
author = {Tianheng Chen and
Chi{-}Wang Shu},
title = {Entropy stable high order discontinuous Galerkin methods with suitable
quadrature rules for hyperbolic conservation laws},
journal = {J. Comput. Phys.},
volume = {345},
pages = {427--461},
year = {2017},
url = {https://doi.org/10.1016/j.jcp.2017.05.025},
doi = {10.1016/J.JCP.2017.05.025},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChenS17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/FuS17,
author = {Guosheng Fu and
Chi{-}Wang Shu},
title = {A new troubled-cell indicator for discontinuous Galerkin methods for
hyperbolic conservation laws},
journal = {J. Comput. Phys.},
volume = {347},
pages = {305--327},
year = {2017},
url = {https://doi.org/10.1016/j.jcp.2017.06.046},
doi = {10.1016/J.JCP.2017.06.046},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/FuS17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhuS17,
author = {Jun Zhu and
Chi{-}Wang Shu},
title = {Numerical study on the convergence to steady state solutions of a
new class of high order {WENO} schemes},
journal = {J. Comput. Phys.},
volume = {349},
pages = {80--96},
year = {2017},
url = {https://doi.org/10.1016/j.jcp.2017.08.012},
doi = {10.1016/J.JCP.2017.08.012},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhuS17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/LiSZ17,
author = {Tingting Li and
Chi{-}Wang Shu and
Mengping Zhang},
title = {Stability Analysis of the Inverse Lax-Wendroff Boundary Treatment
for High Order Central Difference Schemes for Diffusion Equations},
journal = {J. Sci. Comput.},
volume = {70},
number = {2},
pages = {576--607},
year = {2017},
url = {https://doi.org/10.1007/s10915-016-0258-x},
doi = {10.1007/S10915-016-0258-X},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/LiSZ17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/LiSY17,
author = {Xingjie Helen Li and
Chi{-}Wang Shu and
Yang Yang},
title = {Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis
Model},
journal = {J. Sci. Comput.},
volume = {73},
number = {2-3},
pages = {943--967},
year = {2017},
url = {https://doi.org/10.1007/s10915-016-0354-y},
doi = {10.1007/S10915-016-0354-Y},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/LiSY17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/LiuCS17,
author = {Yuan Liu and
Yingda Cheng and
Chi{-}Wang Shu},
title = {A Simple Bound-Preserving Sweeping Technique for Conservative Numerical
Approximations},
journal = {J. Sci. Comput.},
volume = {73},
number = {2-3},
pages = {1028--1071},
year = {2017},
url = {https://doi.org/10.1007/s10915-017-0395-x},
doi = {10.1007/S10915-017-0395-X},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/LiuCS17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/SongS17,
author = {Huailing Song and
Chi{-}Wang Shu},
title = {Unconditional Energy Stability Analysis of a Second Order Implicit-Explicit
Local Discontinuous Galerkin Method for the Cahn-Hilliard Equation},
journal = {J. Sci. Comput.},
volume = {73},
number = {2-3},
pages = {1178--1203},
year = {2017},
url = {https://doi.org/10.1007/s10915-017-0497-5},
doi = {10.1007/S10915-017-0497-5},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/SongS17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/LiuSZ17,
author = {Qingyuan Liu and
Chi{-}Wang Shu and
Mengping Zhang},
title = {Discontinuous Galerkin Methods for Weakly Coupled Hyperbolic MultiDomain
Problems},
journal = {{SIAM} J. Sci. Comput.},
volume = {39},
number = {5},
year = {2017},
url = {https://doi.org/10.1137/16M1089332},
doi = {10.1137/16M1089332},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/LiuSZ17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/WangSZ16,
author = {Haijin Wang and
Chi{-}Wang Shu and
Qiang Zhang},
title = {Stability analysis and error estimates of local discontinuous Galerkin
methods with implicit-explicit time-marching for nonlinear convection-diffusion
problems},
journal = {Appl. Math. Comput.},
volume = {272},
pages = {237--258},
year = {2016},
url = {https://doi.org/10.1016/j.amc.2015.02.067},
doi = {10.1016/J.AMC.2015.02.067},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/WangSZ16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/LiSZ16,
author = {Tingting Li and
Chi{-}Wang Shu and
Mengping Zhang},
title = {Stability analysis of the inverse Lax-Wendroff boundary treatment
for high order upwind-biased finite difference schemes},
journal = {J. Comput. Appl. Math.},
volume = {299},
pages = {140--158},
year = {2016},
url = {https://doi.org/10.1016/j.cam.2015.11.038},
doi = {10.1016/J.CAM.2015.11.038},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/LiSZ16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/VilarSM16,
author = {Fran{\c{c}}ois Vilar and
Chi{-}Wang Shu and
Pierre{-}Henri Maire},
title = {Positivity-preserving cell-centered Lagrangian schemes for multi-material
compressible flows: From first-order to high-orders. Part {I:} The
one-dimensional case},
journal = {J. Comput. Phys.},
volume = {312},
pages = {385--415},
year = {2016},
url = {https://doi.org/10.1016/j.jcp.2016.02.027},
doi = {10.1016/J.JCP.2016.02.027},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/VilarSM16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/VilarSM16a,
author = {Fran{\c{c}}ois Vilar and
Chi{-}Wang Shu and
Pierre{-}Henri Maire},
title = {Positivity-preserving cell-centered Lagrangian schemes for multi-material
compressible flows: From first-order to high-orders. Part {II:} The
two-dimensional case},
journal = {J. Comput. Phys.},
volume = {312},
pages = {416--442},
year = {2016},
url = {https://doi.org/10.1016/j.jcp.2016.01.037},
doi = {10.1016/J.JCP.2016.01.037},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/VilarSM16a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/QinSY16,
author = {Tong Qin and
Chi{-}Wang Shu and
Yang Yang},
title = {Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics},
journal = {J. Comput. Phys.},
volume = {315},
pages = {323--347},
year = {2016},
url = {https://doi.org/10.1016/j.jcp.2016.02.079},
doi = {10.1016/J.JCP.2016.02.079},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/QinSY16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/Shu16,
author = {Chi{-}Wang Shu},
title = {High order {WENO} and {DG} methods for time-dependent convection-dominated
PDEs: {A} brief survey of several recent developments},
journal = {J. Comput. Phys.},
volume = {316},
pages = {598--613},
year = {2016},
url = {https://doi.org/10.1016/j.jcp.2016.04.030},
doi = {10.1016/J.JCP.2016.04.030},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/Shu16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LuFTSZ16,
author = {Jianfang Lu and
Jinwei Fang and
Sirui Tan and
Chi{-}Wang Shu and
Mengping Zhang},
title = {Inverse Lax-Wendroff procedure for numerical boundary conditions of
convection-diffusion equations},
journal = {J. Comput. Phys.},
volume = {317},
pages = {276--300},
year = {2016},
url = {https://doi.org/10.1016/j.jcp.2016.04.059},
doi = {10.1016/J.JCP.2016.04.059},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LuFTSZ16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BalsaraGS16,
author = {Dinshaw S. Balsara and
Sudip Garain and
Chi{-}Wang Shu},
title = {An efficient class of {WENO} schemes with adaptive order},
journal = {J. Comput. Phys.},
volume = {326},
pages = {780--804},
year = {2016},
url = {https://doi.org/10.1016/j.jcp.2016.09.009},
doi = {10.1016/J.JCP.2016.09.009},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/BalsaraGS16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/DongSW16,
author = {Bo Dong and
Chi{-}Wang Shu and
Wei Wang},
title = {A New Multiscale Discontinuous Galerkin Method for the One-Dimensional
Stationary Schr{\"{o}}dinger Equation},
journal = {J. Sci. Comput.},
volume = {66},
number = {1},
pages = {321--345},
year = {2016},
url = {https://doi.org/10.1007/s10915-015-0022-7},
doi = {10.1007/S10915-015-0022-7},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/DongSW16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/MengSW16,
author = {Xiong Meng and
Chi{-}Wang Shu and
Boying Wu},
title = {Optimal error estimates for discontinuous Galerkin methods based on
upwind-biased fluxes for linear hyperbolic equations},
journal = {Math. Comput.},
volume = {85},
number = {299},
pages = {1225--1261},
year = {2016},
url = {https://doi.org/10.1090/mcom/3022},
doi = {10.1090/MCOM/3022},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/MengSW16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/BokanowskiCS16,
author = {Olivier Bokanowski and
Yingda Cheng and
Chi{-}Wang Shu},
title = {Convergence of discontinuous Galerkin schemes for front propagation
with obstacles},
journal = {Math. Comput.},
volume = {85},
number = {301},
pages = {2131--2159},
year = {2016},
url = {https://doi.org/10.1090/mcom/3072},
doi = {10.1090/MCOM/3072},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/BokanowskiCS16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/DuS16,
author = {Jie Du and
Chi{-}Wang Shu},
title = {A High Order Stable Conservative Method for Solving Hyperbolic Conservation
Laws on Arbitrarily Distributed Point Clouds},
journal = {{SIAM} J. Sci. Comput.},
volume = {38},
number = {5},
year = {2016},
url = {https://doi.org/10.1137/16M1060583},
doi = {10.1137/16M1060583},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/DuS16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/YuanCS16,
author = {Daming Yuan and
Juan Cheng and
Chi{-}Wang Shu},
title = {High Order Positivity-Preserving Discontinuous Galerkin Methods for
Radiative Transfer Equations},
journal = {{SIAM} J. Sci. Comput.},
volume = {38},
number = {5},
year = {2016},
url = {https://doi.org/10.1137/16M1061072},
doi = {10.1137/16M1061072},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/YuanCS16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LiuZZS15,
author = {Xuliang Liu and
Shuhai Zhang and
Hanxin Zhang and
Chi{-}Wang Shu},
title = {A new class of central compact schemes with spectral-like resolution
{II:} Hybrid weighted nonlinear schemes},
journal = {J. Comput. Phys.},
volume = {284},
pages = {133--154},
year = {2015},
url = {https://doi.org/10.1016/j.jcp.2014.12.027},
doi = {10.1016/J.JCP.2014.12.027},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LiuZZS15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/WangDS15,
author = {Cheng Wang and
Xinzhuang Dong and
Chi{-}Wang Shu},
title = {Parallel adaptive mesh refinement method based on {WENO} finite difference
scheme for the simulation of multi-dimensional detonation},
journal = {J. Comput. Phys.},
volume = {298},
pages = {161--175},
year = {2015},
url = {https://doi.org/10.1016/j.jcp.2015.06.001},
doi = {10.1016/J.JCP.2015.06.001},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/WangDS15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ChenS15,
author = {Zheng Chen and
Chi{-}Wang Shu},
title = {Recovering Exponential Accuracy in Fourier Spectral Methods Involving
Piecewise Smooth Functions with Unbounded Derivative Singularities},
journal = {J. Sci. Comput.},
volume = {65},
number = {3},
pages = {1145--1165},
year = {2015},
url = {https://doi.org/10.1007/s10915-015-0011-x},
doi = {10.1007/S10915-015-0011-X},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/ChenS15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/WangSZ15,
author = {Haijin Wang and
Chi{-}Wang Shu and
Qiang Zhang},
title = {Stability and Error Estimates of Local Discontinuous Galerkin Methods
with Implicit-Explicit Time-Marching for Advection-Diffusion Problems},
journal = {{SIAM} J. Numer. Anal.},
volume = {53},
number = {1},
pages = {206--227},
year = {2015},
url = {https://doi.org/10.1137/140956750},
doi = {10.1137/140956750},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/WangSZ15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/CaoSYZ15,
author = {Waixiang Cao and
Chi{-}Wang Shu and
Yang Yang and
Zhimin Zhang},
title = {Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional
Hyperbolic Equations},
journal = {{SIAM} J. Numer. Anal.},
volume = {53},
number = {4},
pages = {1651--1671},
year = {2015},
url = {https://doi.org/10.1137/140996203},
doi = {10.1137/140996203},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/CaoSYZ15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/Morales-Escalante15,
author = {Jos{\'{e}} A. Morales Escalante and
Irene M. Gamba and
Yingda Cheng and
Armando Majorana and
Chi{-}Wang Shu and
James R. Chelikowsky},
title = {Discontinuous Galerkin Deterministic Solvers for a Boltzmann-Poisson
Model of Hot Electron Transport by Averaged Empirical Pseudopotential
Band Structures},
journal = {CoRR},
volume = {abs/1512.05403},
year = {2015},
url = {http://arxiv.org/abs/1512.05403},
eprinttype = {arXiv},
eprint = {1512.05403},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/Morales-Escalante15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/ChenS14,
author = {Zheng Chen and
Chi{-}Wang Shu},
title = {Recovering exponential accuracy from collocation point values of smooth
functions with end-point singularities},
journal = {J. Comput. Appl. Math.},
volume = {265},
pages = {83--95},
year = {2014},
url = {https://doi.org/10.1016/j.cam.2013.09.029},
doi = {10.1016/J.CAM.2013.09.029},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/ChenS14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChengS14,
author = {Juan Cheng and
Chi{-}Wang Shu},
title = {Positivity-preserving Lagrangian scheme for multi-material compressible
flow},
journal = {J. Comput. Phys.},
volume = {257},
pages = {143--168},
year = {2014},
url = {https://doi.org/10.1016/j.jcp.2013.09.047},
doi = {10.1016/J.JCP.2013.09.047},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChengS14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChouSX14,
author = {Ching{-}Shan Chou and
Chi{-}Wang Shu and
Yulong Xing},
title = {Optimal energy conserving local discontinuous Galerkin methods for
second-order wave equation in heterogeneous media},
journal = {J. Comput. Phys.},
volume = {272},
pages = {88--107},
year = {2014},
url = {https://doi.org/10.1016/j.jcp.2014.04.009},
doi = {10.1016/J.JCP.2014.04.009},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChouSX14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChengS14a,
author = {Juan Cheng and
Chi{-}Wang Shu},
title = {Second order symmetry-preserving conservative Lagrangian scheme for
compressible Euler equations in two-dimensional cylindrical coordinates},
journal = {J. Comput. Phys.},
volume = {272},
pages = {245--265},
year = {2014},
url = {https://doi.org/10.1016/j.jcp.2014.04.031},
doi = {10.1016/J.JCP.2014.04.031},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChengS14a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ZhangWGS14,
author = {Yifan Zhang and
Wei Wang and
Johnny Guzm{\'{a}}n and
Chi{-}Wang Shu},
title = {Multi-scale Discontinuous Galerkin Method for Solving Elliptic Problems
with Curvilinear Unidirectional Rough Coefficients},
journal = {J. Sci. Comput.},
volume = {61},
number = {1},
pages = {42--60},
year = {2014},
url = {https://doi.org/10.1007/s10915-013-9816-7},
doi = {10.1007/S10915-013-9816-7},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/ZhangWGS14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/BokanowskiCS14,
author = {Olivier Bokanowski and
Yingda Cheng and
Chi{-}Wang Shu},
title = {A discontinuous Galerkin scheme for front propagation with obstacles},
journal = {Numerische Mathematik},
volume = {126},
number = {1},
pages = {1--31},
year = {2014},
url = {https://doi.org/10.1007/s00211-013-0555-3},
doi = {10.1007/S00211-013-0555-3},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/nm/BokanowskiCS14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/ZhangS14,
author = {Qiang Zhang and
Chi{-}Wang Shu},
title = {Error estimates for the third order explicit Runge-Kutta discontinuous
Galerkin method for a linear hyperbolic equation in one-dimension
with discontinuous initial data},
journal = {Numerische Mathematik},
volume = {126},
number = {4},
pages = {703--740},
year = {2014},
url = {https://doi.org/10.1007/s00211-013-0573-1},
doi = {10.1007/S00211-013-0573-1},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/nm/ZhangS14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhongS13,
author = {Xinghui Zhong and
Chi{-}Wang Shu},
title = {A simple weighted essentially nonoscillatory limiter for Runge-Kutta
discontinuous Galerkin methods},
journal = {J. Comput. Phys.},
volume = {232},
number = {1},
pages = {397--415},
year = {2013},
url = {https://doi.org/10.1016/j.jcp.2012.08.028},
doi = {10.1016/J.JCP.2012.08.028},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhongS13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhangZS13,
author = {Yifan Zhang and
Xiangxiong Zhang and
Chi{-}Wang Shu},
title = {Maximum-principle-satisfying second order discontinuous Galerkin schemes
for convection-diffusion equations on triangular meshes},
journal = {J. Comput. Phys.},
volume = {234},
pages = {295--316},
year = {2013},
url = {https://doi.org/10.1016/j.jcp.2012.09.032},
doi = {10.1016/J.JCP.2012.09.032},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhangZS13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/YeeK0S13,
author = {H. C. Yee and
D. V. Kotov and
Wei Wang and
Chi{-}Wang Shu},
title = {Spurious behavior of shock-capturing methods by the fractional step
approach: Problems containing stiff source terms and discontinuities},
journal = {J. Comput. Phys.},
volume = {241},
pages = {266--291},
year = {2013},
url = {https://doi.org/10.1016/j.jcp.2013.01.028},
doi = {10.1016/J.JCP.2013.01.028},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/YeeK0S13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/0002AS13,
author = {Xiangyu Hu and
Nikolaus A. Adams and
Chi{-}Wang Shu},
title = {Positivity-preserving method for high-order conservative schemes solving
compressible Euler equations},
journal = {J. Comput. Phys.},
volume = {242},
pages = {169--180},
year = {2013},
url = {https://doi.org/10.1016/j.jcp.2013.01.024},
doi = {10.1016/J.JCP.2013.01.024},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/0002AS13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhuZSQ13,
author = {Jun Zhu and
Xinghui Zhong and
Chi{-}Wang Shu and
Jianxian Qiu},
title = {Runge-Kutta discontinuous Galerkin method using a new type of {WENO}
limiters on unstructured meshes},
journal = {J. Comput. Phys.},
volume = {248},
pages = {200--220},
year = {2013},
url = {https://doi.org/10.1016/j.jcp.2013.04.012},
doi = {10.1016/J.JCP.2013.04.012},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhuZSQ13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LiuZZS13,
author = {Xuliang Liu and
Shuhai Zhang and
Hanxin Zhang and
Chi{-}Wang Shu},
title = {A new class of central compact schemes with spectral-like resolution
{I:} Linear schemes},
journal = {J. Comput. Phys.},
volume = {248},
pages = {235--256},
year = {2013},
url = {https://doi.org/10.1016/j.jcp.2013.04.014},
doi = {10.1016/J.JCP.2013.04.014},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LiuZZS13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/HaoHSSXZ13,
author = {Wenrui Hao and
Jonathan D. Hauenstein and
Chi{-}Wang Shu and
Andrew J. Sommese and
Zhiliang Xu and
Yong{-}Tao Zhang},
title = {A homotopy method based on {WENO} schemes for solving steady state
problems of hyperbolic conservation laws},
journal = {J. Comput. Phys.},
volume = {250},
pages = {332--346},
year = {2013},
url = {https://doi.org/10.1016/j.jcp.2013.05.008},
doi = {10.1016/J.JCP.2013.05.008},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/HaoHSSXZ13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/YeeK0S13a,
author = {H. C. Yee and
D. V. Kotov and
Wei Wang and
Chi{-}Wang Shu},
title = {Corrigendum to "Spurious behavior of shock-capturing methods
by the fractional step approach: Problems containing stiff source
terms and discontinuities" {[J.} Comput. Physics 241 {(2013)}
266-291]},
journal = {J. Comput. Phys.},
volume = {250},
pages = {703--712},
year = {2013},
url = {https://doi.org/10.1016/j.jcp.2013.05.021},
doi = {10.1016/J.JCP.2013.05.021},
timestamp = {Sat, 26 Nov 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/YeeK0S13a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/YangWS13,
author = {Yang Yang and
Dongming Wei and
Chi{-}Wang Shu},
title = {Discontinuous Galerkin method for Krause's consensus models and pressureless
Euler equations},
journal = {J. Comput. Phys.},
volume = {252},
pages = {109--127},
year = {2013},
url = {https://doi.org/10.1016/j.jcp.2013.06.015},
doi = {10.1016/J.JCP.2013.06.015},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/YangWS13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/Shu13,
author = {Chi{-}Wang Shu},
title = {Preface},
journal = {J. Sci. Comput.},
volume = {54},
number = {2-3},
pages = {245--246},
year = {2013},
url = {https://doi.org/10.1007/s10915-012-9673-9},
doi = {10.1007/S10915-012-9673-9},
timestamp = {Thu, 18 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/Shu13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/XingS13,
author = {Yulong Xing and
Chi{-}Wang Shu},
title = {High Order Well-Balanced {WENO} Scheme for the Gas Dynamics Equations
Under Gravitational Fields},
journal = {J. Sci. Comput.},
volume = {54},
number = {2-3},
pages = {645--662},
year = {2013},
url = {https://doi.org/10.1007/s10915-012-9585-8},
doi = {10.1007/S10915-012-9585-8},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/XingS13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/0014S13,
author = {Yang Yang and
Chi{-}Wang Shu},
title = {Discontinuous Galerkin method for hyperbolic equations involving {\(\delta\)}-singularities:
negative-order norm error estimates and applications},
journal = {Numerische Mathematik},
volume = {124},
number = {4},
pages = {753--781},
year = {2013},
url = {https://doi.org/10.1007/s00211-013-0526-8},
doi = {10.1007/S00211-013-0526-8},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/nm/0014S13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/JiangSZ13,
author = {Yan Jiang and
Chi{-}Wang Shu and
Mengping Zhang},
title = {An Alternative Formulation of Finite Difference Weighted {ENO} Schemes
with Lax-Wendroff Time Discretization for Conservation Laws},
journal = {{SIAM} J. Sci. Comput.},
volume = {35},
number = {2},
year = {2013},
url = {https://doi.org/10.1137/120889885},
doi = {10.1137/120889885},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/JiangSZ13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/WangSYS12,
author = {Wei Wang and
Chi{-}Wang Shu and
H. C. Yee and
Bj{\"{o}}rn Sj{\"{o}}green},
title = {High order finite difference methods with subcell resolution for advection
equations with stiff source terms},
journal = {J. Comput. Phys.},
volume = {231},
number = {1},
pages = {190--214},
year = {2012},
url = {https://doi.org/10.1016/j.jcp.2011.08.031},
doi = {10.1016/J.JCP.2011.08.031},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/WangSYS12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/WangZSN12,
author = {Cheng Wang and
Xiangxiong Zhang and
Chi{-}Wang Shu and
Jianguo Ning},
title = {Robust high order discontinuous Galerkin schemes for two-dimensional
gaseous detonations},
journal = {J. Comput. Phys.},
volume = {231},
number = {2},
pages = {653--665},
year = {2012},
url = {https://doi.org/10.1016/j.jcp.2011.10.002},
doi = {10.1016/J.JCP.2011.10.002},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/WangZSN12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhangS12,
author = {Xiangxiong Zhang and
Chi{-}Wang Shu},
title = {Positivity-preserving high order finite difference {WENO} schemes
for compressible Euler equations},
journal = {J. Comput. Phys.},
volume = {231},
number = {5},
pages = {2245--2258},
year = {2012},
url = {https://doi.org/10.1016/j.jcp.2011.11.020},
doi = {10.1016/J.JCP.2011.11.020},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhangS12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/TanWSN12,
author = {Sirui Tan and
Cheng Wang and
Chi{-}Wang Shu and
Jianguo Ning},
title = {Efficient implementation of high order inverse Lax-Wendroff boundary
treatment for conservation laws},
journal = {J. Comput. Phys.},
volume = {231},
number = {6},
pages = {2510--2527},
year = {2012},
url = {https://doi.org/10.1016/j.jcp.2011.11.037},
doi = {10.1016/J.JCP.2011.11.037},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/TanWSN12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ZhangXS12,
author = {Xiangxiong Zhang and
Yinhua Xia and
Chi{-}Wang Shu},
title = {Maximum-Principle-Satisfying and Positivity-Preserving High Order
Discontinuous Galerkin Schemes for Conservation Laws on Triangular
Meshes},
journal = {J. Sci. Comput.},
volume = {50},
number = {1},
pages = {29--62},
year = {2012},
url = {https://doi.org/10.1007/s10915-011-9472-8},
doi = {10.1007/S10915-011-9472-8},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/ZhangXS12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/XiongSZ12,
author = {Tao Xiong and
Chi{-}Wang Shu and
Mengping Zhang},
title = {{WENO} Scheme with Subcell Resolution for Computing Nonconservative
Euler Equations with Applications to One-Dimensional Compressible
Two-Medium Flows},
journal = {J. Sci. Comput.},
volume = {53},
number = {1},
pages = {222--247},
year = {2012},
url = {https://doi.org/10.1007/s10915-012-9578-7},
doi = {10.1007/S10915-012-9578-7},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/XiongSZ12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nm/ZhangS12,
author = {Xiangxiong Zhang and
Chi{-}Wang Shu},
title = {A minimum entropy principle of high order schemes for gas dynamics
equations},
journal = {Numerische Mathematik},
volume = {121},
number = {3},
pages = {545--563},
year = {2012},
url = {https://doi.org/10.1007/s00211-011-0443-7},
doi = {10.1007/S00211-011-0443-7},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/nm/ZhangS12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/XuS12,
author = {Yan Xu and
Chi{-}Wang Shu},
title = {Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin
Methods for High Order Wave Equations},
journal = {{SIAM} J. Numer. Anal.},
volume = {50},
number = {1},
pages = {79--104},
year = {2012},
url = {https://doi.org/10.1137/11082258X},
doi = {10.1137/11082258X},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/XuS12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/MengSZW12,
author = {Xiong Meng and
Chi{-}Wang Shu and
Qiang Zhang and
Boying Wu},
title = {Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear
Conservation Laws in One Space Dimension},
journal = {{SIAM} J. Numer. Anal.},
volume = {50},
number = {5},
pages = {2336--2356},
year = {2012},
url = {https://doi.org/10.1137/110857635},
doi = {10.1137/110857635},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/MengSZW12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/YangS12,
author = {Yang Yang and
Chi{-}Wang Shu},
title = {Analysis of Optimal Superconvergence of Discontinuous Galerkin Method
for Linear Hyperbolic Equations},
journal = {{SIAM} J. Numer. Anal.},
volume = {50},
number = {6},
pages = {3110--3133},
year = {2012},
url = {https://doi.org/10.1137/110857647},
doi = {10.1137/110857647},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/YangS12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/ZhangLS12,
author = {Xiangxiong Zhang and
Yuanyuan Liu and
Chi{-}Wang Shu},
title = {Maximum-principle-satisfying High Order Finite Volume Weighted Essentially
Nonoscillatory Schemes for Convection-diffusion Equations},
journal = {{SIAM} J. Sci. Comput.},
volume = {34},
number = {2},
year = {2012},
url = {https://doi.org/10.1137/110839230},
doi = {10.1137/110839230},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/ZhangLS12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cacie/XiongZSWZ11,
author = {Tao Xiong and
Mengping Zhang and
Chi{-}Wang Shu and
Sze Chun Wong and
Peng Zhang},
title = {High-Order Computational Scheme for a Dynamic Continuum Model for
Bi-Directional Pedestrian Flows},
journal = {Comput. Aided Civ. Infrastructure Eng.},
volume = {26},
number = {4},
pages = {298--310},
year = {2011},
url = {https://doi.org/10.1111/j.1467-8667.2010.00688.x},
doi = {10.1111/J.1467-8667.2010.00688.X},
timestamp = {Fri, 27 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cacie/XiongZSWZ11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/ZhangZS11,
author = {Rui Zhang and
Mengping Zhang and
Chi{-}Wang Shu},
title = {High order positivity-preserving finite volume {WENO} schemes for
a hierarchical size-structured population model},
journal = {J. Comput. Appl. Math.},
volume = {236},
number = {5},
pages = {937--949},
year = {2011},
url = {https://doi.org/10.1016/j.cam.2011.05.007},
doi = {10.1016/J.CAM.2011.05.007},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/ZhangZS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/QiuS11,
author = {Jing{-}Mei Qiu and
Chi{-}Wang Shu},
title = {Conservative high order semi-Lagrangian finite difference {WENO} methods
for advection in incompressible flow},
journal = {J. Comput. Phys.},
volume = {230},
number = {4},
pages = {863--889},
year = {2011},
url = {https://doi.org/10.1016/j.jcp.2010.04.037},
doi = {10.1016/J.JCP.2010.04.037},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/QiuS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhangS11,
author = {Xiangxiong Zhang and
Chi{-}Wang Shu},
title = {Positivity-preserving high order discontinuous Galerkin schemes for
compressible Euler equations with source terms},
journal = {J. Comput. Phys.},
volume = {230},
number = {4},
pages = {1238--1248},
year = {2011},
url = {https://doi.org/10.1016/j.jcp.2010.10.036},
doi = {10.1016/J.JCP.2010.10.036},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhangS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/WangYSMS11,
author = {Wei Wang and
H. C. Yee and
Bj{\"{o}}rn Sj{\"{o}}green and
Thierry E. Magin and
Chi{-}Wang Shu},
title = {Construction of low dissipative high-order well-balanced filter schemes
for non-equilibrium flows},
journal = {J. Comput. Phys.},
volume = {230},
number = {11},
pages = {4316--4335},
year = {2011},
url = {https://doi.org/10.1016/j.jcp.2010.04.033},
doi = {10.1016/J.JCP.2010.04.033},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/WangYSMS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/TanS11,
author = {Sirui Tan and
Chi{-}Wang Shu},
title = {A high order moving boundary treatment for compressible inviscid flows},
journal = {J. Comput. Phys.},
volume = {230},
number = {15},
pages = {6023--6036},
year = {2011},
url = {https://doi.org/10.1016/j.jcp.2011.04.011},
doi = {10.1016/J.JCP.2011.04.011},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/TanS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/XuLDLS11,
author = {Zhiliang Xu and
Yingjie Liu and
Huijing Du and
Guang Lin and
Chi{-}Wang Shu},
title = {Point-wise hierarchical reconstruction for discontinuous Galerkin
and finite volume methods for solving conservation laws},
journal = {J. Comput. Phys.},
volume = {230},
number = {17},
pages = {6843--6865},
year = {2011},
url = {https://doi.org/10.1016/j.jcp.2011.05.014},
doi = {10.1016/J.JCP.2011.05.014},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/XuLDLS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/QiuS11a,
author = {Jing{-}Mei Qiu and
Chi{-}Wang Shu},
title = {Positivity preserving semi-Lagrangian discontinuous Galerkin formulation:
Theoretical analysis and application to the Vlasov-Poisson system},
journal = {J. Comput. Phys.},
volume = {230},
number = {23},
pages = {8386--8409},
year = {2011},
url = {https://doi.org/10.1016/j.jcp.2011.07.018},
doi = {10.1016/J.JCP.2011.07.018},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/QiuS11a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ZhangJS11,
author = {Shuhai Zhang and
Shufen Jiang and
Chi{-}Wang Shu},
title = {Improvement of Convergence to Steady State Solutions of Euler Equations
with the {WENO} Schemes},
journal = {J. Sci. Comput.},
volume = {47},
number = {2},
pages = {216--238},
year = {2011},
url = {https://doi.org/10.1007/s10915-010-9435-5},
doi = {10.1007/S10915-010-9435-5},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/ZhangJS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/XingSN11,
author = {Yulong Xing and
Chi{-}Wang Shu and
Sebastian Noelle},
title = {On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria
of the Shallow Water Equations},
journal = {J. Sci. Comput.},
volume = {48},
number = {1-3},
pages = {339--349},
year = {2011},
url = {https://doi.org/10.1007/s10915-010-9377-y},
doi = {10.1007/S10915-010-9377-Y},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/XingSN11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/scholarpedia/Shu11,
author = {Chi{-}Wang Shu},
title = {{WENO} methods},
journal = {Scholarpedia},
volume = {6},
number = {5},
pages = {9709},
year = {2011},
url = {https://doi.org/10.4249/scholarpedia.9709},
doi = {10.4249/SCHOLARPEDIA.9709},
timestamp = {Fri, 25 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/scholarpedia/Shu11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/BokanowskiCS11,
author = {Olivier Bokanowski and
Yingda Cheng and
Chi{-}Wang Shu},
title = {A Discontinuous Galerkin Solver for Front Propagation},
journal = {{SIAM} J. Sci. Comput.},
volume = {33},
number = {2},
pages = {923--938},
year = {2011},
url = {https://doi.org/10.1137/090771909},
doi = {10.1137/090771909},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/BokanowskiCS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/LiuSZ11,
author = {Yuanyuan Liu and
Chi{-}Wang Shu and
Mengping Zhang},
title = {High Order Finite Difference {WENO} Schemes for Nonlinear Degenerate
Parabolic Equations},
journal = {{SIAM} J. Sci. Comput.},
volume = {33},
number = {2},
pages = {939--965},
year = {2011},
url = {https://doi.org/10.1137/100791002},
doi = {10.1137/100791002},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/LiuSZ11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/ZhangCLZS11,
author = {Yong{-}Tao Zhang and
Shanqin Chen and
Fengyan Li and
Hongkai Zhao and
Chi{-}Wang Shu},
title = {Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for
Eikonal Equations},
journal = {{SIAM} J. Sci. Comput.},
volume = {33},
number = {4},
pages = {1873--1896},
year = {2011},
url = {https://doi.org/10.1137/090770291},
doi = {10.1137/090770291},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/ZhangCLZS11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/XiaXS10,
author = {Yinhua Xia and
Yan Xu and
Chi{-}Wang Shu},
title = {Local discontinuous Galerkin methods for the generalized Zakharov
system},
journal = {J. Comput. Phys.},
volume = {229},
number = {4},
pages = {1238--1259},
year = {2010},
url = {https://doi.org/10.1016/j.jcp.2009.10.029},
doi = {10.1016/J.JCP.2009.10.029},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/XiaXS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhangS10,
author = {Xiangxiong Zhang and
Chi{-}Wang Shu},
title = {On maximum-principle-satisfying high order schemes for scalar conservation
laws},
journal = {J. Comput. Phys.},
volume = {229},
number = {9},
pages = {3091--3120},
year = {2010},
url = {https://doi.org/10.1016/j.jcp.2009.12.030},
doi = {10.1016/J.JCP.2009.12.030},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhangS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChengS10,
author = {Juan Cheng and
Chi{-}Wang Shu},
title = {A cell-centered Lagrangian scheme with the preservation of symmetry
and conservation properties for compressible fluid flows in two-dimensional
cylindrical geometry},
journal = {J. Comput. Phys.},
volume = {229},
number = {19},
pages = {7191--7206},
year = {2010},
url = {https://doi.org/10.1016/j.jcp.2010.06.007},
doi = {10.1016/J.JCP.2010.06.007},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChengS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/TanS10,
author = {Sirui Tan and
Chi{-}Wang Shu},
title = {Inverse Lax-Wendroff procedure for numerical boundary conditions of
conservation laws},
journal = {J. Comput. Phys.},
volume = {229},
number = {21},
pages = {8144--8166},
year = {2010},
url = {https://doi.org/10.1016/j.jcp.2010.07.014},
doi = {10.1016/J.JCP.2010.07.014},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/TanS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/WangS10,
author = {Chunwu Wang and
Chi{-}Wang Shu},
title = {An interface treating technique for compressible multi-medium flow
with Runge-Kutta discontinuous Galerkin method},
journal = {J. Comput. Phys.},
volume = {229},
number = {23},
pages = {8823--8843},
year = {2010},
url = {https://doi.org/10.1016/j.jcp.2010.08.012},
doi = {10.1016/J.JCP.2010.08.012},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/WangS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhangS10a,
author = {Xiangxiong Zhang and
Chi{-}Wang Shu},
title = {On positivity-preserving high order discontinuous Galerkin schemes
for compressible Euler equations on rectangular meshes},
journal = {J. Comput. Phys.},
volume = {229},
number = {23},
pages = {8918--8934},
year = {2010},
url = {https://doi.org/10.1016/j.jcp.2010.08.016},
doi = {10.1016/J.JCP.2010.08.016},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhangS10a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/GottliebS10,
author = {Sigal Gottlieb and
Chi{-}Wang Shu},
title = {Foreword},
journal = {J. Sci. Comput.},
volume = {45},
number = {1-3},
pages = {1--2},
year = {2010},
url = {https://doi.org/10.1007/s10915-010-9398-6},
doi = {10.1007/S10915-010-9398-6},
timestamp = {Thu, 18 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/GottliebS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/XiongZZS10,
author = {Tao Xiong and
Mengping Zhang and
Yong{-}Tao Zhang and
Chi{-}Wang Shu},
title = {Fast Sweeping Fifth Order {WENO} Scheme for Static Hamilton-Jacobi
Equations with Accurate Boundary Treatment},
journal = {J. Sci. Comput.},
volume = {45},
number = {1-3},
pages = {514--536},
year = {2010},
url = {https://doi.org/10.1007/s10915-010-9345-6},
doi = {10.1007/S10915-010-9345-6},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/XiongZZS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/ChengS10,
author = {Yingda Cheng and
Chi{-}Wang Shu},
title = {Superconvergence of Discontinuous Galerkin and Local Discontinuous
Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations
in One Space Dimension},
journal = {{SIAM} J. Numer. Anal.},
volume = {47},
number = {6},
pages = {4044--4072},
year = {2010},
url = {https://doi.org/10.1137/090747701},
doi = {10.1137/090747701},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/ChengS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/ZhangS10,
author = {Xiangxiong Zhang and
Chi{-}Wang Shu},
title = {A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional
Scalar Conservation Laws},
journal = {{SIAM} J. Numer. Anal.},
volume = {48},
number = {2},
pages = {772--795},
year = {2010},
url = {https://doi.org/10.1137/090764384},
doi = {10.1137/090764384},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/ZhangS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/ZhangS10a,
author = {Qiang Zhang and
Chi{-}Wang Shu},
title = {Stability Analysis and {A} Priori Error Estimates of the Third Order
Explicit Runge-Kutta Discontinuous Galerkin Method for Scalar Conservation
Laws},
journal = {{SIAM} J. Numer. Anal.},
volume = {48},
number = {3},
pages = {1038--1063},
year = {2010},
url = {https://doi.org/10.1137/090771363},
doi = {10.1137/090771363},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/ZhangS10a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:journals/procedia/ChengS10,
author = {Juan Cheng and
Chi{-}Wang Shu},
editor = {Peter M. A. Sloot and
G. Dick van Albada and
Jack J. Dongarra},
title = {A Lagrangian scheme with the preservation of symmetry and conservation
in cylindrical geometry: Preliminary study},
booktitle = {Proceedings of the International Conference on Computational Science,
{ICCS} 2010, University of Amsterdam, The Netherlands, May 31 - June
2, 2010},
series = {Procedia Computer Science},
volume = {1},
number = {1},
pages = {1903--1911},
publisher = {Elsevier},
year = {2010},
url = {https://doi.org/10.1016/j.procs.2010.04.213},
doi = {10.1016/J.PROCS.2010.04.213},
timestamp = {Thu, 08 Jul 2021 14:29:22 +0200},
biburl = {https://dblp.org/rec/journals/procedia/ChengS10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/XuLS09,
author = {Zhiliang Xu and
Yingjie Liu and
Chi{-}Wang Shu},
title = {Hierarchical reconstruction for discontinuous Galerkin methods on
unstructured grids with a WENO-type linear reconstruction and partial
neighboring cells},
journal = {J. Comput. Phys.},
volume = {228},
number = {6},
pages = {2194--2212},
year = {2009},
url = {https://doi.org/10.1016/j.jcp.2008.11.025},
doi = {10.1016/J.JCP.2008.11.025},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/XuLS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/XuLS09a,
author = {Zhiliang Xu and
Yingjie Liu and
Chi{-}Wang Shu},
title = {Hierarchical reconstruction for spectral volume method on unstructured
grids},
journal = {J. Comput. Phys.},
volume = {228},
number = {16},
pages = {5787--5802},
year = {2009},
url = {https://doi.org/10.1016/j.jcp.2009.05.001},
doi = {10.1016/J.JCP.2009.05.001},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/XuLS09a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/WangSYS09,
author = {Wei Wang and
Chi{-}Wang Shu and
H. C. Yee and
Bj{\"{o}}rn Sj{\"{o}}green},
title = {High-order well-balanced schemes and applications to non-equilibrium
flow},
journal = {J. Comput. Phys.},
volume = {228},
number = {18},
pages = {6682--6702},
year = {2009},
url = {https://doi.org/10.1016/j.jcp.2009.05.028},
doi = {10.1016/J.JCP.2009.05.028},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/WangSYS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LiuCS09,
author = {Wei Liu and
Juan Cheng and
Chi{-}Wang Shu},
title = {High order conservative Lagrangian schemes with Lax-Wendroff type
time discretization for the compressible Euler equations},
journal = {J. Comput. Phys.},
volume = {228},
number = {23},
pages = {8872--8891},
year = {2009},
url = {https://doi.org/10.1016/j.jcp.2009.09.001},
doi = {10.1016/J.JCP.2009.09.001},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LiuCS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/GottliebKS09,
author = {Sigal Gottlieb and
David I. Ketcheson and
Chi{-}Wang Shu},
title = {High Order Strong Stability Preserving Time Discretizations},
journal = {J. Sci. Comput.},
volume = {38},
number = {3},
pages = {251--289},
year = {2009},
url = {https://doi.org/10.1007/s10915-008-9239-z},
doi = {10.1007/S10915-008-9239-Z},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/GottliebKS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/CockburnS09,
author = {Bernardo Cockburn and
Chi{-}Wang Shu},
title = {Foreword},
journal = {J. Sci. Comput.},
volume = {40},
number = {1-3},
pages = {1--3},
year = {2009},
url = {https://doi.org/10.1007/s10915-009-9298-9},
doi = {10.1007/S10915-009-9298-9},
timestamp = {Tue, 29 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/CockburnS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/WangS09,
author = {Wei Wang and
Chi{-}Wang Shu},
title = {The {WKB} Local Discontinuous Galerkin Method for the Simulation of
Schr{\"{o}}dinger Equation in a Resonant Tunneling Diode},
journal = {J. Sci. Comput.},
volume = {40},
number = {1-3},
pages = {360--374},
year = {2009},
url = {https://doi.org/10.1007/s10915-008-9237-1},
doi = {10.1007/S10915-008-9237-1},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/WangS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/XuS09,
author = {Yan Xu and
Chi{-}Wang Shu},
title = {Local Discontinuous Galerkin Method for Surface Diffusion and Willmore
Flow of Graphs},
journal = {J. Sci. Comput.},
volume = {40},
number = {1-3},
pages = {375--390},
year = {2009},
url = {https://doi.org/10.1007/s10915-008-9262-0},
doi = {10.1007/S10915-008-9262-0},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/XuS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/DongS09,
author = {Bo Dong and
Chi{-}Wang Shu},
title = {Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent
Fourth-Order Problems},
journal = {{SIAM} J. Numer. Anal.},
volume = {47},
number = {5},
pages = {3240--3268},
year = {2009},
url = {https://doi.org/10.1137/080737472},
doi = {10.1137/080737472},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/DongS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamrev/Shu09,
author = {Chi{-}Wang Shu},
title = {High Order Weighted Essentially Nonoscillatory Schemes for Convection
Dominated Problems},
journal = {{SIAM} Rev.},
volume = {51},
number = {1},
pages = {82--126},
year = {2009},
url = {https://doi.org/10.1137/070679065},
doi = {10.1137/070679065},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamrev/Shu09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/transci/LuWZS09,
author = {Yadong Lu and
Sze Chun Wong and
Mengping Zhang and
Chi{-}Wang Shu},
title = {The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow
Model with a Discontinuous Flow-Density Relationship},
journal = {Transp. Sci.},
volume = {43},
number = {4},
pages = {511--530},
year = {2009},
url = {https://doi.org/10.1287/trsc.1090.0277},
doi = {10.1287/TRSC.1090.0277},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/transci/LuWZS09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhuQSD08,
author = {Jun Zhu and
Jianxian Qiu and
Chi{-}Wang Shu and
Michael Dumbser},
title = {Runge-Kutta discontinuous Galerkin method using {WENO} limiters {II:}
Unstructured meshes},
journal = {J. Comput. Phys.},
volume = {227},
number = {9},
pages = {4330--4353},
year = {2008},
url = {https://doi.org/10.1016/j.jcp.2007.12.024},
doi = {10.1016/J.JCP.2007.12.024},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhuQSD08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhangJS08,
author = {Shuhai Zhang and
Shufen Jiang and
Chi{-}Wang Shu},
title = {Development of nonlinear weighted compact schemes with increasingly
higher order accuracy},
journal = {J. Comput. Phys.},
volume = {227},
number = {15},
pages = {7294--7321},
year = {2008},
url = {https://doi.org/10.1016/j.jcp.2008.04.012},
doi = {10.1016/J.JCP.2008.04.012},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhangJS08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LiSZZ08,
author = {Fengyan Li and
Chi{-}Wang Shu and
Yong{-}Tao Zhang and
Hongkai Zhao},
title = {A second order discontinuous Galerkin fast sweeping method for Eikonal
equations},
journal = {J. Comput. Phys.},
volume = {227},
number = {17},
pages = {8191--8208},
year = {2008},
url = {https://doi.org/10.1016/j.jcp.2008.05.018},
doi = {10.1016/J.JCP.2008.05.018},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LiSZZ08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChengS08,
author = {Yingda Cheng and
Chi{-}Wang Shu},
title = {Superconvergence and time evolution of discontinuous Galerkin finite
element solutions},
journal = {J. Comput. Phys.},
volume = {227},
number = {22},
pages = {9612--9627},
year = {2008},
url = {https://doi.org/10.1016/j.jcp.2008.07.010},
doi = {10.1016/J.JCP.2008.07.010},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChengS08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mmas/WangLS08,
author = {Wei Wang and
Xiantao Li and
Chi{-}Wang Shu},
title = {The Discontinuous Galerkin Method for the Multiscale Modeling of Dynamics
of Crystalline Solids},
journal = {Multiscale Model. Simul.},
volume = {7},
number = {1},
pages = {294--320},
year = {2008},
url = {https://doi.org/10.1137/070701212},
doi = {10.1137/070701212},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/mmas/WangLS08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/ChengS08,
author = {Yingda Cheng and
Chi{-}Wang Shu},
title = {A discontinuous Galerkin finite element method for time dependent
partial differential equations with higher order derivatives},
journal = {Math. Comput.},
volume = {77},
number = {262},
pages = {699--730},
year = {2008},
url = {https://doi.org/10.1090/S0025-5718-07-02045-5},
doi = {10.1090/S0025-5718-07-02045-5},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/ChengS08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/XuS08,
author = {Yan Xu and
Chi{-}Wang Shu},
title = {A Local Discontinuous Galerkin Method for the Camassa-Holm Equation},
journal = {{SIAM} J. Numer. Anal.},
volume = {46},
number = {4},
pages = {1998--2021},
year = {2008},
url = {https://doi.org/10.1137/070679764},
doi = {10.1137/070679764},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/XuS08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/QiuS08,
author = {Jing{-}Mei Qiu and
Chi{-}Wang Shu},
title = {Convergence of Godunov-Type Schemes for Scalar Conservation Laws under
Large Time Steps},
journal = {{SIAM} J. Numer. Anal.},
volume = {46},
number = {5},
pages = {2211--2237},
year = {2008},
url = {https://doi.org/10.1137/060657911},
doi = {10.1137/060657911},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/QiuS08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/QiuS08,
author = {Jing{-}Mei Qiu and
Chi{-}Wang Shu},
title = {Convergence of High Order Finite Volume Weighted Essentially Nonoscillatory
Scheme and Discontinuous Galerkin Method for Nonconvex Conservation
Laws},
journal = {{SIAM} J. Sci. Comput.},
volume = {31},
number = {1},
pages = {584--607},
year = {2008},
url = {https://doi.org/10.1137/070687487},
doi = {10.1137/070687487},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/QiuS08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/XuS08,
author = {Yan Xu and
Chi{-}Wang Shu},
title = {Local Discontinuous Galerkin Method for the Hunter--Saxton Equation
and Its Zero-Viscosity and Zero-Dispersion Limits},
journal = {{SIAM} J. Sci. Comput.},
volume = {31},
number = {2},
pages = {1249--1268},
year = {2008},
url = {https://doi.org/10.1137/080714105},
doi = {10.1137/080714105},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/XuS08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChengS07a,
author = {Yingda Cheng and
Chi{-}Wang Shu},
title = {A discontinuous Galerkin finite element method for directly solving
the Hamilton-Jacobi equations},
journal = {J. Comput. Phys.},
volume = {223},
number = {1},
pages = {398--415},
year = {2007},
url = {https://doi.org/10.1016/j.jcp.2006.09.012},
doi = {10.1016/J.JCP.2006.09.012},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChengS07a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChouS07,
author = {Ching{-}Shan Chou and
Chi{-}Wang Shu},
title = {High order residual distribution conservative finite difference {WENO}
schemes for convection-diffusion steady state problems on non-smooth
meshes},
journal = {J. Comput. Phys.},
volume = {224},
number = {2},
pages = {992--1020},
year = {2007},
url = {https://doi.org/10.1016/j.jcp.2006.11.006},
doi = {10.1016/J.JCP.2006.11.006},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChouS07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChenELS07,
author = {Shanqin Chen and
Weinan E and
Yunxian Liu and
Chi{-}Wang Shu},
title = {A discontinuous Galerkin implementation of a domain decomposition
method for kinetic-hydrodynamic coupling multiscale problems in gas
dynamics and device simulations},
journal = {J. Comput. Phys.},
volume = {225},
number = {2},
pages = {1314--1330},
year = {2007},
url = {https://doi.org/10.1016/j.jcp.2007.01.025},
doi = {10.1016/J.JCP.2007.01.025},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChenELS07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/NoelleXS07,
author = {Sebastian Noelle and
Yulong Xing and
Chi{-}Wang Shu},
title = {High-order well-balanced finite volume {WENO} schemes for shallow
water equation with moving water},
journal = {J. Comput. Phys.},
volume = {226},
number = {1},
pages = {29--58},
year = {2007},
url = {https://doi.org/10.1016/j.jcp.2007.03.031},
doi = {10.1016/J.JCP.2007.03.031},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/NoelleXS07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/XiaXS07,
author = {Yinhua Xia and
Yan Xu and
Chi{-}Wang Shu},
title = {Local discontinuous Galerkin methods for the Cahn-Hilliard type equations},
journal = {J. Comput. Phys.},
volume = {227},
number = {1},
pages = {472--491},
year = {2007},
url = {https://doi.org/10.1016/j.jcp.2007.08.001},
doi = {10.1016/J.JCP.2007.08.001},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/XiaXS07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChengS07,
author = {Juan Cheng and
Chi{-}Wang Shu},
title = {A high order {ENO} conservative Lagrangian type scheme for the compressible
Euler equations},
journal = {J. Comput. Phys.},
volume = {227},
number = {2},
pages = {1567--1596},
year = {2007},
url = {https://doi.org/10.1016/j.jcp.2007.09.017},
doi = {10.1016/J.JCP.2007.09.017},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChengS07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ZhangS07,
author = {Shuhai Zhang and
Chi{-}Wang Shu},
title = {A New Smoothness Indicator for the {WENO} Schemes and Its Effect on
the Convergence to Steady State Solutions},
journal = {J. Sci. Comput.},
volume = {31},
number = {1-2},
pages = {273--305},
year = {2007},
url = {https://doi.org/10.1007/s10915-006-9111-y},
doi = {10.1007/S10915-006-9111-Y},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/ZhangS07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ShenSZ07,
author = {Jun Shen and
Chi{-}Wang Shu and
Mengping Zhang},
title = {A High Order {WENO} Scheme for a Hierarchical Size-Structured Population
Model},
journal = {J. Sci. Comput.},
volume = {33},
number = {3},
pages = {279--291},
year = {2007},
url = {https://doi.org/10.1007/s10915-007-9152-x},
doi = {10.1007/S10915-007-9152-X},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/ShenSZ07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/ShenSZ07,
author = {Jun Shen and
Chi{-}Wang Shu and
Mengping Zhang},
title = {High Resolution Schemes for a Hierarchical Size-Structured Model},
journal = {{SIAM} J. Numer. Anal.},
volume = {45},
number = {1},
pages = {352--370},
year = {2007},
url = {https://doi.org/10.1137/050638126},
doi = {10.1137/050638126},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/ShenSZ07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/LiuSTZ07,
author = {Yingjie Liu and
Chi{-}Wang Shu and
Eitan Tadmor and
Mengping Zhang},
title = {Central Discontinuous Galerkin Methods on Overlapping Cells with a
Nonoscillatory Hierarchical Reconstruction},
journal = {{SIAM} J. Numer. Anal.},
volume = {45},
number = {6},
pages = {2442--2467},
year = {2007},
url = {https://doi.org/10.1137/060666974},
doi = {10.1137/060666974},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/LiuSTZ07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/CurtisKRS07,
author = {Sean Curtis and
Robert M. Kirby and
Jennifer K. Ryan and
Chi{-}Wang Shu},
title = {Postprocessing for the Discontinuous Galerkin Method over Nonuniform
Meshes},
journal = {{SIAM} J. Sci. Comput.},
volume = {30},
number = {1},
pages = {272--289},
year = {2007},
url = {https://doi.org/10.1137/070681284},
doi = {10.1137/070681284},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/CurtisKRS07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/QiuKS06,
author = {Jianxian Qiu and
Boo Cheong Khoo and
Chi{-}Wang Shu},
title = {A numerical study for the performance of the Runge-Kutta discontinuous
Galerkin method based on different numerical fluxes},
journal = {J. Comput. Phys.},
volume = {212},
number = {2},
pages = {540--565},
year = {2006},
url = {https://doi.org/10.1016/j.jcp.2005.07.011},
doi = {10.1016/J.JCP.2005.07.011},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/QiuKS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhangWS06,
author = {Peng Zhang and
Sze Chun Wong and
Chi{-}Wang Shu},
title = {A weighted essentially non-oscillatory numerical scheme for a multi-class
traffic flow model on an inhomogeneous highway},
journal = {J. Comput. Phys.},
volume = {212},
number = {2},
pages = {739--756},
year = {2006},
url = {https://doi.org/10.1016/j.jcp.2005.07.019},
doi = {10.1016/J.JCP.2005.07.019},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhangWS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/CarrilloGMS06,
author = {Jos{\'{e}} A. Carrillo and
Irene M. Gamba and
Armando Majorana and
Chi{-}Wang Shu},
title = {2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency,
boundary conditions and comparison to Monte Carlo methods},
journal = {J. Comput. Phys.},
volume = {214},
number = {1},
pages = {55--80},
year = {2006},
url = {https://doi.org/10.1016/j.jcp.2005.09.005},
doi = {10.1016/J.JCP.2005.09.005},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/CarrilloGMS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/XingS06,
author = {Yulong Xing and
Chi{-}Wang Shu},
title = {High order well-balanced finite volume {WENO} schemes and discontinuous
Galerkin methods for a class of hyperbolic systems with source terms},
journal = {J. Comput. Phys.},
volume = {214},
number = {2},
pages = {567--598},
year = {2006},
url = {https://doi.org/10.1016/j.jcp.2005.10.005},
doi = {10.1016/J.JCP.2005.10.005},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/XingS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChouS06,
author = {Ching{-}Shan Chou and
Chi{-}Wang Shu},
title = {High order residual distribution conservative finite difference {WENO}
schemes for steady state problems on non-smooth meshes},
journal = {J. Comput. Phys.},
volume = {214},
number = {2},
pages = {698--724},
year = {2006},
url = {https://doi.org/10.1016/j.jcp.2005.10.007},
doi = {10.1016/J.JCP.2005.10.007},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ChouS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/YuanS06,
author = {Ling Yuan and
Chi{-}Wang Shu},
title = {Discontinuous Galerkin method based on non-polynomial approximation
spaces},
journal = {J. Comput. Phys.},
volume = {218},
number = {1},
pages = {295--323},
year = {2006},
url = {https://doi.org/10.1016/j.jcp.2006.02.013},
doi = {10.1016/J.JCP.2006.02.013},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/YuanS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/GottliebHKS06,
author = {David I. Gottlieb and
Jan S. Hesthaven and
George E. Karniadakis and
Chi{-}Wang Shu},
title = {Foreword},
journal = {J. Sci. Comput.},
volume = {27},
number = {1-3},
pages = {1--3},
year = {2006},
url = {https://doi.org/10.1007/s10915-005-9061-9},
doi = {10.1007/S10915-005-9061-9},
timestamp = {Thu, 18 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/GottliebHKS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/XingS06,
author = {Yulong Xing and
Chi{-}Wang Shu},
title = {High-Order Well-Balanced Finite Difference {WENO} Schemes for a Class
of Hyperbolic Systems with Source Terms},
journal = {J. Sci. Comput.},
volume = {27},
number = {1-3},
pages = {477--494},
year = {2006},
url = {https://doi.org/10.1007/s10915-005-9027-y},
doi = {10.1007/S10915-005-9027-Y},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/XingS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/GottliebGS06,
author = {Sigal Gottlieb and
David I. Gottlieb and
Chi{-}Wang Shu},
title = {Recovering High-Order Accuracy in {WENO} Computations of Steady-State
Hyperbolic Systems},
journal = {J. Sci. Comput.},
volume = {28},
number = {2-3},
pages = {307--318},
year = {2006},
url = {https://doi.org/10.1007/s10915-006-9078-8},
doi = {10.1007/S10915-006-9078-8},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/GottliebGS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/ZhangS06,
author = {Qiang Zhang and
Chi{-}Wang Shu},
title = {Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin
Method for Symmetrizable Systems of Conservation Laws},
journal = {{SIAM} J. Numer. Anal.},
volume = {44},
number = {4},
pages = {1703--1720},
year = {2006},
url = {https://doi.org/10.1137/040620382},
doi = {10.1137/040620382},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/ZhangS06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/LevyNSZ06,
author = {Doron Levy and
Suhas Nayak and
Chi{-}Wang Shu and
Yong{-}Tao Zhang},
title = {Central {WENO} Schemes for Hamilton-Jacobi Equations on Triangular
Meshes},
journal = {{SIAM} J. Sci. Comput.},
volume = {28},
number = {6},
pages = {2229--2247},
year = {2006},
url = {https://doi.org/10.1137/040612002},
doi = {10.1137/040612002},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/LevyNSZ06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/appml/LiS05,
author = {Fengyan Li and
Chi{-}Wang Shu},
title = {Reinterpretation and simplified implementation of a discontinuous
Galerkin method for Hamilton-Jacobi equations},
journal = {Appl. Math. Lett.},
volume = {18},
number = {11},
pages = {1204--1209},
year = {2005},
url = {https://doi.org/10.1016/j.aml.2004.10.009},
doi = {10.1016/J.AML.2004.10.009},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/appml/LiS05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/LiS05,
author = {Fengyan Li and
Chi{-}Wang Shu},
title = {Locally Divergence-Free Discontinuous Galerkin Methods for {MHD} Equations},
journal = {J. Sci. Comput.},
volume = {22},
number = {1},
pages = {413--442},
year = {2005},
url = {https://doi.org/10.1007/s10915-004-4146-4},
doi = {10.1007/S10915-004-4146-4},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/LiS05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ShuDGSJ05,
author = {Chi{-}Wang Shu and
Wai{-}Sun Don and
David I. Gottlieb and
Oleg Schilling and
Leland Jameson},
title = {Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor-Green
Vortex Flow},
journal = {J. Sci. Comput.},
volume = {24},
number = {1},
pages = {1--27},
year = {2005},
url = {https://doi.org/10.1007/s10915-004-5407-y},
doi = {10.1007/S10915-004-5407-Y},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/ShuDGSJ05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/HaGGS05,
author = {Youngsoo Ha and
Carl L. Gardner and
Anne Gelb and
Chi{-}Wang Shu},
title = {Numerical Simulation of High Mach Number Astrophysical Jets with Radiative
Cooling},
journal = {J. Sci. Comput.},
volume = {24},
number = {1},
pages = {29--44},
year = {2005},
url = {https://doi.org/10.1007/s10915-004-4786-4},
doi = {10.1007/S10915-004-4786-4},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/HaGGS05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/CarpenterGHS05,
author = {Mark H. Carpenter and
David I. Gottlieb and
Jan S. Hesthaven and
Chi{-}Wang Shu},
title = {Foreword},
journal = {J. Sci. Comput.},
volume = {25},
number = {1-2},
pages = {1--2},
year = {2005},
url = {https://doi.org/10.1007/s10915-005-4649-7},
doi = {10.1007/S10915-005-4649-7},
timestamp = {Wed, 06 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/CarpenterGHS05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mmas/ChenES05,
author = {Shanqin Chen and
Weinan E and
Chi{-}Wang Shu},
title = {The Heterogeneous Multiscale Method Based on the Discontinuous Galerkin
Method for Hyperbolic and Parabolic Problems},
journal = {Multiscale Model. Simul.},
volume = {3},
number = {4},
pages = {871--894},
year = {2005},
url = {https://doi.org/10.1137/040612622},
doi = {10.1137/040612622},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/mmas/ChenES05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/RyanSA05,
author = {Jennifer K. Ryan and
Chi{-}Wang Shu and
Harold Atkins},
title = {Extension of a Post Processing Technique for the Discontinuous Galerkin
Method for Hyperbolic Equations with Application to an Aeroacoustic
Problem},
journal = {{SIAM} J. Sci. Comput.},
volume = {26},
number = {3},
pages = {821--843},
year = {2005},
url = {https://doi.org/10.1137/S1064827503423998},
doi = {10.1137/S1064827503423998},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/RyanSA05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/QiuS05a,
author = {Jianxian Qiu and
Chi{-}Wang Shu},
title = {Runge-Kutta Discontinuous Galerkin Method Using {WENO} Limiters},
journal = {{SIAM} J. Sci. Comput.},
volume = {26},
number = {3},
pages = {907--929},
year = {2005},
url = {https://doi.org/10.1137/S1064827503425298},
doi = {10.1137/S1064827503425298},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/QiuS05a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/FilbetS05,
author = {Francis Filbet and
Chi{-}Wang Shu},
title = {Approximation of Hyperbolic Models for Chemosensitive Movement},
journal = {{SIAM} J. Sci. Comput.},
volume = {27},
number = {3},
pages = {850--872},
year = {2005},
url = {https://doi.org/10.1137/040604054},
doi = {10.1137/040604054},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/FilbetS05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/QiuS05,
author = {Jianxian Qiu and
Chi{-}Wang Shu},
title = {A Comparison of Troubled-Cell Indicators for Runge-Kutta Discontinuous
Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters},
journal = {{SIAM} J. Sci. Comput.},
volume = {27},
number = {3},
pages = {995--1013},
year = {2005},
url = {https://doi.org/10.1137/04061372X},
doi = {10.1137/04061372X},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/QiuS05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamma/GuoSZ04,
author = {Yan Guo and
Chi{-}Wang Shu and
Tie Zhou},
title = {The Dynamics of a Plane Diode},
journal = {{SIAM} J. Math. Anal.},
volume = {35},
number = {6},
pages = {1617--1635},
year = {2004},
url = {https://doi.org/10.1137/S0036141003421133},
doi = {10.1137/S0036141003421133},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamma/GuoSZ04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/ZhangS04,
author = {Qiang Zhang and
Chi{-}Wang Shu},
title = {Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin
Methods for Scalar Conservation Laws},
journal = {{SIAM} J. Numer. Anal.},
volume = {42},
number = {2},
pages = {641--666},
year = {2004},
url = {https://doi.org/10.1137/S0036142902404182},
doi = {10.1137/S0036142902404182},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/ZhangS04.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/CarpenterGS03,
author = {Mark H. Carpenter and
David I. Gottlieb and
Chi{-}Wang Shu},
title = {On the Conservation and Convergence to Weak Solutions of Global Schemes},
journal = {J. Sci. Comput.},
volume = {18},
number = {1},
pages = {111--132},
year = {2003},
url = {https://doi.org/10.1023/A:1020390212806},
doi = {10.1023/A:1020390212806},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/CarpenterGS03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/Shu03,
author = {Chi{-}Wang Shu},
title = {Foreword},
journal = {J. Sci. Comput.},
volume = {19},
number = {1-3},
pages = {1--2},
year = {2003},
url = {https://doi.org/10.1023/A:1025334204364},
doi = {10.1023/A:1025334204364},
timestamp = {Thu, 18 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/Shu03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/SebastianS03,
author = {Kurt Sebastian and
Chi{-}Wang Shu},
title = {Multidomain {WENO} Finite Difference Method with Interpolation at
Subdomain Interfaces},
journal = {J. Sci. Comput.},
volume = {19},
number = {1-3},
pages = {405--438},
year = {2003},
url = {https://doi.org/10.1023/A:1025372429380},
doi = {10.1023/A:1025372429380},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/SebastianS03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/CockburnLSS03,
author = {Bernardo Cockburn and
Mitchell Luskin and
Chi{-}Wang Shu and
Endre S{\"{u}}li},
title = {Enhanced accuracy by post-processing for finite element methods for
hyperbolic equations},
journal = {Math. Comput.},
volume = {72},
number = {242},
pages = {577--606},
year = {2003},
url = {https://doi.org/10.1090/S0025-5718-02-01464-3},
doi = {10.1090/S0025-5718-02-01464-3},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/CockburnLSS03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/ZhangS03,
author = {Yong{-}Tao Zhang and
Chi{-}Wang Shu},
title = {High-Order {WENO} Schemes for Hamilton-Jacobi Equations on Triangular
Meshes},
journal = {{SIAM} J. Sci. Comput.},
volume = {24},
number = {3},
pages = {1005--1030},
year = {2003},
url = {https://doi.org/10.1137/S1064827501396798},
doi = {10.1137/S1064827501396798},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/ZhangS03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/QiuS03,
author = {Jianxian Qiu and
Chi{-}Wang Shu},
title = {Finite Difference {WENO} Schemes with Lax-Wendroff-Type Time Discretizations},
journal = {{SIAM} J. Sci. Comput.},
volume = {24},
number = {6},
pages = {2185--2198},
year = {2003},
url = {https://doi.org/10.1137/S1064827502412504},
doi = {10.1137/S1064827502412504},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/QiuS03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/YanS02,
author = {Jue Yan and
Chi{-}Wang Shu},
title = {Local Discontinuous Galerkin Methods for Partial Differential Equations
with Higher Order Derivatives},
journal = {J. Sci. Comput.},
volume = {17},
number = {1-4},
pages = {27--47},
year = {2002},
url = {https://doi.org/10.1023/A:1015132126817},
doi = {10.1023/A:1015132126817},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/YanS02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/YanS02,
author = {Jue Yan and
Chi{-}Wang Shu},
title = {A Local Discontinuous Galerkin Method for KdV Type Equations},
journal = {{SIAM} J. Numer. Anal.},
volume = {40},
number = {2},
pages = {769--791},
year = {2002},
url = {https://doi.org/10.1137/S0036142901390378},
doi = {10.1137/S0036142901390378},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamnum/YanS02.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ZhouLS01,
author = {Tie Zhou and
Yinfan Li and
Chi{-}Wang Shu},
title = {Numerical Comparison of {WENO} Finite Volume and Runge-Kutta Discontinuous
Galerkin Methods},
journal = {J. Sci. Comput.},
volume = {16},
number = {2},
pages = {145--171},
year = {2001},
url = {https://doi.org/10.1023/A:1012282706985},
doi = {10.1023/A:1012282706985},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/ZhouLS01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/CockburnS01,
author = {Bernardo Cockburn and
Chi{-}Wang Shu},
title = {Runge-Kutta Discontinuous Galerkin Methods for Convection-Dominated
Problems},
journal = {J. Sci. Comput.},
volume = {16},
number = {3},
pages = {173--261},
year = {2001},
url = {https://doi.org/10.1023/A:1012873910884},
doi = {10.1023/A:1012873910884},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/CockburnS01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamrev/GottliebST01,
author = {Sigal Gottlieb and
Chi{-}Wang Shu and
Eitan Tadmor},
title = {Strong Stability-Preserving High-Order Time Discretization Methods},
journal = {{SIAM} Rev.},
volume = {43},
number = {1},
pages = {89--112},
year = {2001},
url = {https://doi.org/10.1137/S003614450036757X},
doi = {10.1137/S003614450036757X},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamrev/GottliebST01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/vlsi/BanooRLSJ01,
author = {Kausar Banoo and
Jung{-}Hoon Rhew and
Mark S. Lundstrom and
Chi{-}Wang Shu and
Joseph W. Jerome},
title = {Simulating Quasi-ballistic Transport in Si Nanotransistors},
journal = {{VLSI} Design},
volume = {13},
number = {1-4},
pages = {5--13},
year = {2001},
url = {https://doi.org/10.1155/2001/16023},
doi = {10.1155/2001/16023},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/vlsi/BanooRLSJ01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/vlsi/AnileCGS01,
author = {Marcello A. Anile and
Jos{\'{e}} A. Carrillo and
Irene M. Gamba and
Chi{-}Wang Shu},
title = {Approximation of the {BTE} by a Relaxation-time Operator: Simulations
for a 50 nm-channel Si Diode},
journal = {{VLSI} Design},
volume = {13},
number = {1-4},
pages = {349--354},
year = {2001},
url = {https://doi.org/10.1155/2001/35094},
doi = {10.1155/2001/35094},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/vlsi/AnileCGS01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/HuS99,
author = {Changqing Hu and
Chi{-}Wang Shu},
title = {A Discontinuous Galerkin Finite Element Method for Hamilton-Jacobi
Equations},
journal = {{SIAM} J. Sci. Comput.},
volume = {21},
number = {2},
pages = {666--690},
year = {1999},
url = {https://doi.org/10.1137/S1064827598337282},
doi = {10.1137/S1064827598337282},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/HuS99.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/GottliebS98,
author = {Sigal Gottlieb and
Chi{-}Wang Shu},
title = {Total variation diminishing Runge-Kutta schemes},
journal = {Math. Comput.},
volume = {67},
number = {221},
pages = {73--85},
year = {1998},
url = {https://doi.org/10.1090/S0025-5718-98-00913-2},
doi = {10.1090/S0025-5718-98-00913-2},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/GottliebS98.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/vlsi/ChenJS98,
author = {Gui{-}Qiang G. Chen and
Joseph W. Jerome and
Chi{-}Wang Shu},
title = {Analysis and Simulation of Extended Hydrodynamic Models: The Multi-Valley
Gunn Oscillator and {MESFET} Symmetries},
journal = {{VLSI} Design},
volume = {6},
number = {1-4},
pages = {277--282},
year = {1998},
url = {https://doi.org/10.1155/1998/21818},
doi = {10.1155/1998/21818},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/vlsi/ChenJS98.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/vlsi/CercignaniGJS98,
author = {Carlo Cercignani and
Irene M. Gamba and
Joseph W. Jerome and
Chi{-}Wang Shu},
title = {Applicability of the High Field Model: An Analytical Study Via Asymptotic
Parameters Defining Domain Decomposition},
journal = {{VLSI} Design},
volume = {8},
number = {1-4},
pages = {135--141},
year = {1998},
url = {https://doi.org/10.1155/1998/54618},
doi = {10.1155/1998/54618},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/vlsi/CercignaniGJS98.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/vlsi/CercignaniGJS98a,
author = {Carlo Cercignani and
Irene M. Gamba and
Joseph W. Jerome and
Chi{-}Wang Shu},
title = {Applicability of the High Field Model: {A} Preliminary Numerical Study},
journal = {{VLSI} Design},
volume = {8},
number = {1-4},
pages = {275--282},
year = {1998},
url = {https://doi.org/10.1155/1998/56862},
doi = {10.1155/1998/56862},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/vlsi/CercignaniGJS98a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cvgip/SiddiqiKS97,
author = {Kaleem Siddiqi and
Benjamin B. Kimia and
Chi{-}Wang Shu},
title = {Geometric Shock-Capturing {ENO} Schemes for Subpixel Interpolation,
Computation and Curve Evolution},
journal = {{CVGIP} Graph. Model. Image Process.},
volume = {59},
number = {5},
pages = {278--301},
year = {1997},
url = {https://doi.org/10.1006/gmip.1997.0438},
doi = {10.1006/GMIP.1997.0438},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cvgip/SiddiqiKS97.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamrev/GottliebS97,
author = {David I. Gottlieb and
Chi{-}Wang Shu},
title = {On the Gibbs Phenomenon and Its Resolution},
journal = {{SIAM} Rev.},
volume = {39},
number = {4},
pages = {644--668},
year = {1997},
url = {https://doi.org/10.1137/S0036144596301390},
doi = {10.1137/S0036144596301390},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamrev/GottliebS97.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/tcad/JeromeS95,
author = {Joseph W. Jerome and
Chi{-}Wang Shu},
title = {Transport effects and characteristic modes in the modeling and simulation
of submicron devices},
journal = {{IEEE} Trans. Comput. Aided Des. Integr. Circuits Syst.},
volume = {14},
number = {8},
pages = {917--923},
year = {1995},
url = {https://doi.org/10.1109/43.402490},
doi = {10.1109/43.402490},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/tcad/JeromeS95.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/vlsi/JeromeS95,
author = {Joseph W. Jerome and
Chi{-}Wang Shu},
title = {The Response of the Hydrodynamic Model to Heat Conduction, Mobility,
and Relaxation Expressions},
journal = {{VLSI} Design},
volume = {3},
number = {2},
pages = {131--143},
year = {1995},
url = {https://doi.org/10.1155/1995/89680},
doi = {10.1155/1995/89680},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/vlsi/JeromeS95.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/vlsi/ChenCJS95,
author = {Zhangxin Chen and
Bernardo Cockburn and
Joseph W. Jerome and
Chi{-}Wang Shu},
title = {Mixed-RKDG Finite Element Methods for the 2-D Hydrodynamic Model for
Semiconductor Device Simulation},
journal = {{VLSI} Design},
volume = {3},
number = {2},
pages = {145--158},
year = {1995},
url = {https://doi.org/10.1155/1995/47065},
doi = {10.1155/1995/47065},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/vlsi/ChenCJS95.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/ppsc/ChenCJS93,
author = {Zhangxin Chen and
Bernardo Cockburn and
Joseph W. Jerome and
Chi{-}Wang Shu},
editor = {Richard F. Sincovec and
David E. Keyes and
Michael R. Leuze and
Linda R. Petzold and
Daniel A. Reed},
title = {Finite Element Computation of the Hydrodynamic Model of Semiconductor
Devices},
booktitle = {Proceedings of the Sixth {SIAM} Conference on Parallel Processing
for Scientific Computing, {PPSC} 1993, Norfolk, Virginia, USA, March
22-24, 1993},
pages = {228--236},
publisher = {{SIAM}},
year = {1993},
timestamp = {Mon, 20 Mar 2017 14:21:45 +0100},
biburl = {https://dblp.org/rec/conf/ppsc/ChenCJS93.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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