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ORCIDChi-Wang Shu
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- affiliation: Brown University, Division of Applied Mathematics, USA
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2020 – today
- 2025
[j255]Wenjing Feng, Juan Cheng
, Chi-Wang Shu:
Second order conservative Lagrangian DG schemes for compressible flow and their application in preserving spherical symmetry in two-dimensional cylindrical geometry. J. Comput. Phys. 521: 113530 (2025)- [j254]Yan Tan, Jun Zhu, Chi-Wang Shu, Jianxian Qiu:
Letter to Editor: Regarding the numerical results in "A novel finite-difference converged ENO scheme for steady-state simulations of Euler equations", by Tian Liang and Lin Fu, Journal of Computational Physics, 519 (2024), 113386. J. Comput. Phys. 522: 113620 (2025) - [j253]Meiqi Tan, Juan Cheng, Chi-Wang Shu:
High order finite difference scheme with explicit-implicit-null time-marching for the compressible Navier-Stokes equations. J. Comput. Phys. 523: 113626 (2025) - 2024
- [j252]Juan Cheng, Nuo Lei, Chi-Wang Shu:
High order conservative Lagrangian scheme for three-temperature radiation hydrodynamics. J. Comput. Phys. 496: 112595 (2024) - [j251]Nuo Lei, Juan Cheng, Chi-Wang Shu:
High order conservative Lagrangian schemes for two-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit. J. Comput. Phys. 503: 112840 (2024) - [j250]Boyang Ye, Jingwei Hu, Chi-Wang Shu, Xinghui Zhong:
Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system with Dougherty-Fokker-Planck collision operator. J. Comput. Phys. 514: 113219 (2024) - [j249]Shihao Liu, Tingting Li, Ziqiang Cheng, Yan Jiang, Chi-Wang Shu, Mengping Zhang:
A new type of simplified inverse Lax-Wendroff boundary treatment I: Hyperbolic conservation laws. J. Comput. Phys. 514: 113259 (2024) - [j248]Juan Cheng, Chi-Wang Shu:
High order conservative finite difference WENO scheme for three-temperature radiation hydrodynamics. J. Comput. Phys. 517: 113304 (2024) - [j247]Yuan Xu, Chi-Wang Shu, Qiang Zhang:
Stability Analysis and Error Estimate of the Explicit Single-Step Time-Marching Discontinuous Galerkin Methods with Stage-Dependent Numerical Flux Parameters for a Linear Hyperbolic Equation in One Dimension. J. Sci. Comput. 100(3): 64 (2024) - [j246]Ziyao Xu, Chi-Wang Shu:
A High-Order Well-Balanced Discontinuous Galerkin Method for Hyperbolic Balance Laws Based on the Gauss-Lobatto Quadrature Rules. J. Sci. Comput. 101(2): 39 (2024) - [j245]Haijin Wang, Qiang Zhang, Chi-Wang Shu:
Correction to: Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection-Diffusion Problems. J. Sci. Comput. 101(3): 59 (2024) - [j244]Fengyu Fu, Chi-Wang Shu, Qi Tao, Boying Wu:
Analysis of the boundary conditions for the ultraweak-local discontinuous Galerkin method of time-dependent linear fourth-order problems. Math. Comput. 94(351): 123-158 (2024) - [j243]Haijin Wang, Qi Tao, Chi-Wang Shu, Qiang Zhang:
Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations. SIAM J. Numer. Anal. 62(5): 2222-2248 (2024) - [j242]Yong Liu, Jianfang Lu, Chi-Wang Shu:
An Entropy Stable Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 46(2): 1132- (2024) - [j241]Ziyao Xu, Chi-Wang Shu:
Local Characteristic Decomposition-Free High-Order Finite Difference WENO Schemes for Hyperbolic Systems Endowed with a Coordinate System of Riemann Invariants. SIAM J. Sci. Comput. 46(2): 1352- (2024) - [i25]Shihao Liu, Tingting Li, Ziqiang Cheng, Yan Jiang, Chi-Wang Shu, Mengping Zhang:
A new type of simplified inverse Lax-Wendroff boundary treatment I: hyperbolic conservation laws. CoRR abs/2402.10152 (2024) - [i24]Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu:
A high order, block finite difference, error inhibiting scheme for the transport equation. CoRR abs/2402.11617 (2024) - [i23]Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu, Harish Kumar:
Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Conservation Laws. CoRR abs/2403.01264 (2024) - [i22]Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu, Harish Kumar:
Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-Conservative Products. CoRR abs/2403.01266 (2024) - [i21]Pep Mulet, Juan Ruiz-Álvarez, Chi-Wang Shu, Dionisio F. Yáñez:
A non-separable progressive multivariate WENO-2r point value. CoRR abs/2404.16694 (2024) - [i20]Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu:
Error Inhibiting Methods for Finite Elements. CoRR abs/2407.03338 (2024) - 2023
- [j240]Liangze Yang, Sze Chun Wong, H. W. Ho, Chi-Wang Shu, Mengping Zhang:
Bilevel optimization of a housing allocation and traffic emission problem in a predictive dynamic continuum transportation system. Comput. Aided Civ. Infrastructure Eng. 38(18): 2576-2596 (2023) - [j239]Dan Ling, Chi-Wang Shu, Wenjing Yan:
Local discontinuous Galerkin methods for diffusive-viscous wave equations. J. Comput. Appl. Math. 419: 114690 (2023) - [j238]Siting Liu, Stanley J. Osher, Wuchen Li, Chi-Wang Shu:
A primal-dual approach for solving conservation laws with implicit in time approximations. J. Comput. Phys. 472: 111654 (2023) - [j237]Shihao Liu, Yan Jiang, Chi-Wang Shu, Mengping Zhang, Shuhai Zhang:
A high order moving boundary treatment for convection-diffusion equations. J. Comput. Phys. 473: 111752 (2023) - [j236]Xiaolu Gu, Yue Li, Juan Cheng, Chi-Wang Shu:
A high order positivity-preserving conservative WENO remapping method based on a moving mesh solver. J. Comput. Phys. 473: 111754 (2023) - [j235]Nuo Lei, Juan Cheng, Chi-Wang Shu:
A high order positivity-preserving polynomial projection remapping method. J. Comput. Phys. 474: 111826 (2023) - [j234]Hans De Sterck, Chi-Wang Shu, Rémi Abgrall:
Enhancing reproducibility of research papers in SISC, JSC and JCP. J. Comput. Phys. 484: 112088 (2023) - [j233]Ziyao Xu, Chi-Wang Shu:
On the conservation property of positivity-preserving discontinuous Galerkin methods for stationary hyperbolic equations. J. Comput. Phys. 490: 112304 (2023) - [j232]Rafael B. de R. Borges, Flávio C. Colman, Nicholas D. P. da Silva, Gabriela W. O. Dicati, José E. Gubaua, Chi-Wang Shu:
Approximated decompositions for computational continuum mechanics. J. Comput. Phys. 495: 112576 (2023) - [j231]Hans De Sterck, Chi-Wang Shu, Rémi Abgrall:
Enhancing Reproducibility of Research Papers in SISC, JSC and JCP. J. Sci. Comput. 95(3): 77 (2023) - [j230]Hans De Sterck, Chi-Wang Shu, Rémi Abgrall:
Correction to: Enhancing Reproducibility of Research Papers in SISC, JSC and JCP. J. Sci. Comput. 95(3): 86 (2023) - [j229]Haijin Wang, Fengyan Li, Chi-Wang Shu, Qiang Zhang:
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation. Math. Comput. 92(344): 2475-2513 (2023) - [j228]Kailiang Wu, Haili Jiang, Chi-Wang Shu:
Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations. SIAM J. Numer. Anal. 61(1): 250-285 (2023) - [j227]Kailiang Wu, Chi-Wang Shu:
Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes. SIAM Rev. 65(4): 1031-1073 (2023) - [j226]Hans De Sterck, Chi-Wang Shu, Rémi Abgrall:
Enhancing Reproducibility of Research Papers in SISC, JSC, and JCP. SIAM J. Sci. Comput. 45(4): vii (2023) - [i19]Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu, Harish Kumar:
Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products. CoRR abs/2303.17672 (2023) - 2022
- [j225]Jichun Li, Chi-Wang Shu, Wei Yang:
Development and analysis of two new finite element schemes for a time-domain carpet cloak model. Adv. Comput. Math. 48(3): 24 (2022) - [j224]Sergio Amat, Juan Ruiz-Álvarez, Chi-Wang Shu, Dionisio F. Yáñez:
On the approximation of derivative values using a WENO algorithm with progressive order of accuracy close to discontinuities. Comput. Appl. Math. 41(6) (2022) - [j223]Tingting Li, Jianfang Lu, Chi-Wang Shu:
Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations. J. Comput. Appl. Math. 400: 113711 (2022) - [j222]Nuo Lei, Juan Cheng, Chi-Wang Shu:
High order entropy stable and positivity-preserving discontinuous Galerkin method for the nonlocal electron heat transport model. J. Comput. Phys. 454: 110945 (2022) - [j221]Jiawei Sun, Chi-Wang Shu, Yulong Xing:
Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. J. Comput. Phys. 461: 111199 (2022) - [j220]Meiqi Tan, Juan Cheng, Chi-Wang Shu:
Stability of high order finite difference and local discontinuous Galerkin schemes with explicit-implicit-null time-marching for high order dissipative and dispersive equations. J. Comput. Phys. 464: 111314 (2022) - [j219]Ziyao Xu, Chi-Wang Shu:
High order conservative positivity-preserving discontinuous Galerkin method for stationary hyperbolic equations. J. Comput. Phys. 466: 111410 (2022) - [j218]Jie Du, Chi-Wang Shu, Xinghui Zhong:
An improved simple WENO limiter for discontinuous Galerkin methods solving hyperbolic systems on unstructured meshes. J. Comput. Phys. 467: 111424 (2022) - [j217]Ziyao Xu, Chi-Wang Shu:
Third order maximum-principle-satisfying and positivity-preserving Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws. J. Comput. Phys. 470: 111591 (2022) - [j216]Xinghui Zhong, Chi-Wang Shu:
Entropy Stable Galerkin Methods with Suitable Quadrature Rules for Hyperbolic Systems with Random Inputs. J. Sci. Comput. 92(1): 14 (2022) - [j215]Jingqi Ai, Yuan Xu, Chi-Wang Shu, Qiang Zhang:
L$^2$ Error Estimate to Smooth Solutions of High Order Runge-Kutta Discontinuous Galerkin Method for Scalar Nonlinear Conservation Laws with and without Sonic Points. SIAM J. Numer. Anal. 60(4): 1741-1773 (2022) - [j214]Yong Liu, Jianfang Lu, Chi-Wang Shu:
An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems. SIAM J. Sci. Comput. 44(1): 230- (2022) - [j213]Liangze Yang, Sze Chun Wong, H. W. Ho, Mengping Zhang, Chi-Wang Shu:
Effects of Air Quality on Housing Location: A Predictive Dynamic Continuum User-Optimal Approach. Transp. Sci. 56(5): 1111-1134 (2022) - [i18]Jiayin Li, Chi-Wang Shu, Jianxian Qiu:
Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws. CoRR abs/2201.12193 (2022) - [i17]Kailiang Wu, Haili Jiang, Chi-Wang Shu:
Provably Positive Central DG Schemes via Geometric Quasilinearization for Ideal MHD Equations. CoRR abs/2203.14853 (2022) - [i16]Jiawei Sun, Chi-Wang Shu, Yulong Xing:
Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise. CoRR abs/2204.09632 (2022) - [i15]Juntao Huang, Thomas Izgin, Stefan Kopecz, Andreas Meister, Chi-Wang Shu:
On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes. CoRR abs/2205.01488 (2022) - [i14]Siting Liu, Stanley J. Osher, Wuchen Li, Chi-Wang Shu:
A primal-dual approach for solving conservation laws with implicit in time approximations. CoRR abs/2207.07234 (2022) - 2021
- [j212]Sergio Amat, Juan Ruiz-Álvarez, Chi-Wang Shu, Dionisio F. Yáñez:
Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. Appl. Math. Comput. 403: 126131 (2021) - [j211]Qi Tao, Yan Xu, Chi-Wang Shu:
A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations. J. Comput. Appl. Math. 386: 113230 (2021) - [j210]Jianfang Lu, Chi-Wang Shu, Sirui Tan, Mengping Zhang:
An inverse Lax-Wendroff procedure for hyperbolic conservation laws with changing wind direction on the boundary. J. Comput. Phys. 426: 109940 (2021) - [j209]Yun-Long Liu, Chi-Wang Shu, A-Man Zhang:
Weighted ghost fluid discontinuous Galerkin method for two-medium problems. J. Comput. Phys. 426: 109956 (2021) - [j208]Feng Zheng, Chi-Wang Shu, Jianxian Qiu:
A high order conservative finite difference scheme for compressible two-medium flows. J. Comput. Phys. 445: 110597 (2021) - [j207]Jiayin Li, Chi-Wang Shu, Jianxian Qiu:
Multi-resolution HWENO schemes for hyperbolic conservation laws. J. Comput. Phys. 446: 110653 (2021) - [j206]Kailiang Wu, Chi-Wang Shu:
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. Numerische Mathematik 148(3): 699-741 (2021) - [j205]Jianfang Lu, Yong Liu, Chi-Wang Shu:
An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws. SIAM J. Numer. Anal. 59(3): 1299-1324 (2021) - [i13]Qian Zhang, Yan Xu, Chi-Wang Shu:
Dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations. CoRR abs/2103.14352 (2021) - [i12]Jiawei Sun, Chi-Wang Shu, Yulong Xing:
Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. CoRR abs/2110.04826 (2021) - [i11]Kailiang Wu, Chi-Wang Shu:
Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes. CoRR abs/2111.04722 (2021) - 2020
- [j204]Chi-Wang Shu:
Essentially non-oscillatory and weighted essentially non-oscillatory schemes. Acta Numer. 29: 701-762 (2020) - [j203]Sergio Amat, Juan Ruiz, Chi-Wang Shu:
On a new WENO algorithm of order 2r with improved accuracy close to discontinuities. Appl. Math. Lett. 105: 106298 (2020) - [j202]Jun Zhu, Jianxian Qiu, Chi-Wang Shu:
High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters. J. Comput. Phys. 404 (2020) - [j201]Jun Zhu, Chi-Wang Shu:
A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes. J. Comput. Phys. 406: 109212 (2020) - [j200]Shengrong Ding, Chi-Wang Shu, Mengping Zhang:
On the conservation of finite difference WENO schemes in non-rectangular domains using the inverse Lax-Wendroff boundary treatments. J. Comput. Phys. 415: 109516 (2020) - [j199]Juan Cheng, Chi-Wang Shu, Peng Song:
High order conservative Lagrangian schemes for one-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit. J. Comput. Phys. 421: 109724 (2020) - [j198]Yunzhang Li, Chi-Wang Shu, Shanjian Tang:
An Ultra-Weak Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Generalized Stochastic KdV Equations. J. Sci. Comput. 82(3): 61 (2020) - [j197]Yuan Xu, Xiong Meng, Chi-Wang Shu, Qiang Zhang:
Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Methods for a Linear Hyperbolic Equation. J. Sci. Comput. 84(1): 23 (2020) - [j196]José A. Carrillo, Serafim Kalliadasis, Sergio P. Perez, Chi-Wang Shu:
Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy. Multiscale Model. Simul. 18(1): 502-541 (2020) - [j195]Qi Tao, Yan Xu, Chi-Wang Shu:
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. Math. Comput. 89(326): 2753-2783 (2020) - [j194]Haitao Fan, Chi-Wang Shu:
Existence and Computation of Solutions of a Model of Traffic Involving Hysteresis. SIAM J. Appl. Math. 80(6): 2319-2337 (2020) - [j193]Yuan Xu, Chi-Wang Shu, Qiang Zhang:
Error Estimate of the Fourth-Order Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. SIAM J. Numer. Anal. 58(5): 2885-2914 (2020) - [j192]Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez:
A New WENO-2r Algorithm with Progressive Order of Accuracy Close to Discontinuities. SIAM J. Numer. Anal. 58(6): 3448-3474 (2020) - [j191]Yunzhang Li, Chi-Wang Shu, Shanjian Tang:
A Discontinuous Galerkin Method for Stochastic Conservation Laws. SIAM J. Sci. Comput. 42(1): A54-A86 (2020) - [j190]Kailiang Wu, Chi-Wang Shu:
Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations. SIAM J. Sci. Comput. 42(4): A2230-A2261 (2020) - [p1]Chi-Wang Shu:
A class of bound-preserving high order schemes: The main ideas and recent developments. 75 Years of Mathematics of Computation 2020 - [e1]Susanne C. Brenner, Igor E. Shparlinski, Chi-Wang Shu, Daniel B. Szyld:
75 Years of Mathematics of Computation. Contemporary Mathematics 754, American Mathematical Society 2020, ISBN 978-1-4704-5163-9 [contents] - [i10]Zheng Sun, Chi-Wang Shu:
Error analysis of Runge-Kutta discontinuous Galerkin methods for linear time-dependent partial differential equations. CoRR abs/2001.00971 (2020) - [i9]Yong Liu, Chi-Wang Shu, Mengping Zhang:
Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for even degree polynomial approximations. CoRR abs/2001.03825 (2020) - [i8]Kailiang Wu, Chi-Wang Shu:
Provably Physical-Constraint-Preserving Discontinuous Galerkin Methods for Multidimensional Relativistic MHD Equations. CoRR abs/2002.03371 (2020) - [i7]Qi Tao, Yan Xu, Chi-Wang Shu:
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. CoRR abs/2003.05798 (2020) - [i6]Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez:
A new WENO-2r algorithm with progressive order of accuracy close to discontinuities. CoRR abs/2005.06747 (2020) - [i5]Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez:
Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. CoRR abs/2009.09476 (2020) - [i4]Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu:
Error Inhibiting Methods for Finite Elements. CoRR abs/2011.14411 (2020)
2010 – 2019
- 2019
- [j189]Guosheng Fu, Chi-Wang Shu:
An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation. J. Comput. Appl. Math. 349: 41-51 (2019) - [j188]Jun Zhu, Chi-Wang Shu:
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes. J. Comput. Phys. 392: 19-33 (2019) - [j187]Guosheng Fu, Chi-Wang Shu:
Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems. J. Comput. Phys. 394: 329-363 (2019) - [j186]Alireza Mazaheri, Chi-Wang Shu, Vincent Perrier:
Bounded and compact weighted essentially nonoscillatory limiters for discontinuous Galerkin schemes: Triangular elements. J. Comput. Phys. 395: 461-488 (2019) - [j185]Ziqiang Cheng, Jinwei Fang, Chi-Wang Shu, Mengping Zhang:
Assessment of aeroacoustic resolution properties of DG schemes and comparison with DRP schemes. J. Comput. Phys. 399 (2019) - [j184]Juntao Huang, Chi-Wang Shu:
Positivity-Preserving Time Discretizations for Production-Destruction Equations with Applications to Non-equilibrium Flows. J. Sci. Comput. 78(3): 1811-1839 (2019) - [j183]Juntao Huang, Weifeng Zhao, Chi-Wang Shu:
A Third-Order Unconditionally Positivity-Preserving Scheme for Production-Destruction Equations with Applications to Non-equilibrium Flows. J. Sci. Comput. 79(2): 1015-1056 (2019) - [j182]Yong Liu, Tianheng Chen, Yanlai Chen, Chi-Wang Shu:
Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise. J. Sci. Comput. 81(3): 1210-1239 (2019) - [j181]Haijin Wang, Qiang Zhang, Chi-Wang Shu:
Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection-Diffusion Problems. J. Sci. Comput. 81(3): 2080-2114 (2019) - [j180]Haijin Wang, Yunxian Liu, Qiang Zhang, Chi-Wang Shu:
Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow. Math. Comput. 88(315): 91-121 (2019) - [j179]Kailiang Wu, Chi-Wang Shu:
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. Numerische Mathematik 142(4): 995-1047 (2019) - [j178]Zheng Sun, Chi-Wang Shu:
Strong Stability of Explicit Runge-Kutta Time Discretizations. SIAM J. Numer. Anal. 57(3): 1158-1182 (2019) - [j177]Sergio Amat, Juan Ruiz, Chi-Wang Shu:
On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities. SIAM J. Numer. Anal. 57(3): 1205-1237 (2019) - [j176]Yuan Xu, Qiang Zhang, Chi-Wang Shu, Haijin Wang:
The L2-norm Stability Analysis of Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. SIAM J. Numer. Anal. 57(4): 1574-1601 (2019) - [i3]Kailiang Wu, Chi-Wang Shu:
Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations. CoRR abs/1907.07467 (2019) - [i2]Zheng Sun, Chi-Wang Shu:
Enforcing strong stability of explicit Runge-Kutta methods with superviscosity. CoRR abs/1912.11596 (2019) - 2018
- [j175]Cengke Shi, Jichun Li, Chi-Wang Shu:
Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshes. J. Comput. Appl. Math. 342: 147-163 (2018) - [j174]Haijin Wang, Qiang Zhang, Chi-Wang Shu:
Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions. J. Comput. Appl. Math. 342: 164-179 (2018) - [j173]Zheng Sun, José A. Carrillo, Chi-Wang Shu:
A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials. J. Comput. Phys. 352: 76-104 (2018) - [j172]Yong Liu, Chi-Wang Shu, Mengping Zhang:
Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes. J. Comput. Phys. 354: 163-178 (2018) - [j171]Juntao Huang, Chi-Wang Shu:
Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms. J. Comput. Phys. 361: 111-135 (2018)