Chi-Wang Shu

ORCID

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 126

Top Venues

Publications

Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
A high order, block finite difference, error inhibiting scheme for the transport equation. CoRR (2024)
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 (2024)
Juan Cheng, Nuo Lei, Chi-Wang Shu
High order conservative Lagrangian scheme for three-temperature radiation hydrodynamics. J. Comput. Phys. 496 (2024)
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 (2023)
Dinshaw S. Balsara, Deepak Bhoriya, Chi-Wang Shu, Harish Kumar
Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products. CoRR (2023)
Dan Ling, Chi-Wang Shu, Wenjing Yan
Local discontinuous Galerkin methods for diffusive-viscous wave equations. J. Comput. Appl. Math. 419 (2023)
Ziyao Xu, Chi-Wang Shu
On the conservation property of positivity-preserving discontinuous Galerkin methods for stationary hyperbolic equations. J. Comput. Phys. 490 (2023)
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) (2023)
Hans De Sterck, Chi-Wang Shu, Rémi Abgrall
Enhancing reproducibility of research papers in SISC, JSC and JCP. J. Comput. Phys. 484 (2023)
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 (2023)
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 (2023)
Hans De Sterck, Chi-Wang Shu, Rémi Abgrall
Enhancing Reproducibility of Research Papers in SISC, JSC, and JCP. SIAM J. Sci. Comput. 45 (4) (2023)
Kailiang Wu, Chi-Wang Shu
Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes. SIAM Rev. 65 (4) (2023)
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) (2023)
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 (2023)
Hans De Sterck, Chi-Wang Shu, Rémi Abgrall
Enhancing Reproducibility of Research Papers in SISC, JSC and JCP. J. Sci. Comput. 95 (3) (2023)
Nuo Lei, Juan Cheng, Chi-Wang Shu
A high order positivity-preserving polynomial projection remapping method. J. Comput. Phys. 474 (2023)
Jiawei Sun, Chi-Wang Shu, Yulong Xing
Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. J. Comput. Phys. 461 (2022)
Yong Liu, Jianfang Lu, Chi-Wang Shu
An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems. SIAM J. Sci. Comput. 44 (1) (2022)
Ziyao Xu, Chi-Wang Shu
High order conservative positivity-preserving discontinuous Galerkin method for stationary hyperbolic equations. J. Comput. Phys. 466 (2022)
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) (2022)
Juntao Huang, Thomas Izgin, Stefan Kopecz, Andreas Meister, Chi-Wang Shu
On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes. CoRR (2022)
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) (2022)
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 (2022)
Xinghui Zhong, Chi-Wang Shu
Entropy Stable Galerkin Methods with Suitable Quadrature Rules for Hyperbolic Systems with Random Inputs. J. Sci. Comput. 92 (1) (2022)
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)
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 (2022)
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 (2022)
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 (2022)
Kailiang Wu, Haili Jiang, Chi-Wang Shu
Provably Positive Central DG Schemes via Geometric Quasilinearization for Ideal MHD Equations. CoRR (2022)
Jiayin Li, Chi-Wang Shu, Jianxian Qiu
Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws. CoRR (2022)
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 (2022)
Siting Liu, Stanley J. Osher, Wuchen Li, Chi-Wang Shu
A primal-dual approach for solving conservation laws with implicit in time approximations. CoRR (2022)
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) (2022)
Jiawei Sun, Chi-Wang Shu, Yulong Xing
Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise. CoRR (2022)
Kailiang Wu, Chi-Wang Shu
Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. Numerische Mathematik 148 (3) (2021)
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 (2021)
Jianfang Lu, Yong Liu, Chi-Wang Shu
An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws. SIAM J. Numer. Anal. 59 (3) (2021)
Kailiang Wu, Chi-Wang Shu
Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes. CoRR (2021)
Jiayin Li, Chi-Wang Shu, Jianxian Qiu
Multi-resolution HWENO schemes for hyperbolic conservation laws. J. Comput. Phys. 446 (2021)
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 (2021)
Qian Zhang, Yan Xu, Chi-Wang Shu
Dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations. CoRR (2021)
Yun-Long Liu, Chi-Wang Shu, A-Man Zhang
Weighted ghost fluid discontinuous Galerkin method for two-medium problems. J. Comput. Phys. 426 (2021)
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 (2021)
Feng Zheng, Chi-Wang Shu, Jianxian Qiu
A high order conservative finite difference scheme for compressible two-medium flows. J. Comput. Phys. 445 (2021)
Jiawei Sun, Chi-Wang Shu, Yulong Xing
Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. CoRR (2021)
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 (2020)
Haitao Fan, Chi-Wang Shu
Existence and Computation of Solutions of a Model of Traffic Involving Hysteresis. SIAM J. Appl. Math. 80 (6) (2020)
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) (2020)
Qi Tao, Yan Xu, Chi-Wang Shu
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. Math. Comput. 89 (326) (2020)
Kailiang Wu, Chi-Wang Shu
Provably Physical-Constraint-Preserving Discontinuous Galerkin Methods for Multidimensional Relativistic MHD Equations. CoRR (2020)
Qi Tao, Yan Xu, Chi-Wang Shu
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. CoRR (2020)
Yunzhang Li, Chi-Wang Shu, Shanjian Tang
A Discontinuous Galerkin Method for Stochastic Conservation Laws. SIAM J. Sci. Comput. 42 (1) (2020)
Sergio Amat, Juan Ruiz, Chi-Wang Shu, Dionisio F. Yáñez
A new WENO-2r algorithm with progressive order of accuracy close to discontinuities. CoRR (2020)
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) (2020)
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) (2020)
Chi-Wang Shu
Essentially non-oscillatory and weighted essentially non-oscillatory schemes. Acta Numer. 29 (2020)
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 (2020)
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)
Jun Zhu, Chi-Wang Shu
A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes. J. Comput. Phys. 406 (2020)
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) (2020)
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) (2020)
Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
Error Inhibiting Methods for Finite Elements. CoRR (2020)
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 (2020)
Zheng Sun, Chi-Wang Shu
Error analysis of Runge-Kutta discontinuous Galerkin methods for linear time-dependent partial differential equations. CoRR (2020)
Yong Liu, Chi-Wang Shu, Mengping Zhang
Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for even degree polynomial approximations. CoRR (2020)
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) (2020)
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 (2020)
Kailiang Wu, Chi-Wang Shu
Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations. CoRR (2019)
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 (2019)
Guosheng Fu, Chi-Wang Shu
Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems. J. Comput. Phys. 394 (2019)
Juntao Huang, Chi-Wang Shu
Positivity-Preserving Time Discretizations for Production-Destruction Equations with Applications to Non-equilibrium Flows. J. Sci. Comput. 78 (3) (2019)
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) (2019)
Yuan Xu, Qiang Zhang, Chi-Wang Shu, Haijin Wang
-norm Stability Analysis of Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. SIAM J. Numer. Anal. 57 (4) (2019)
Zheng Sun, Chi-Wang Shu
Strong Stability of Explicit Runge-Kutta Time Discretizations. SIAM J. Numer. Anal. 57 (3) (2019)
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) (2019)
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) (2019)
Alireza Mazaheri, Chi-Wang Shu, Vincent Perrier
Bounded and compact weighted essentially nonoscillatory limiters for discontinuous Galerkin schemes: Triangular elements. J. Comput. Phys. 395 (2019)
Zheng Sun, Chi-Wang Shu
Enforcing strong stability of explicit Runge-Kutta methods with superviscosity. CoRR (2019)
Kailiang Wu, Chi-Wang Shu
Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. Numerische Mathematik 142 (4) (2019)
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) (2019)
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 (2019)
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)
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) (2019)
Dan Ling, Juan Cheng, Chi-Wang Shu
Conservative High Order Positivity-Preserving Discontinuous Galerkin Methods for Linear Hyperbolic and Radiative Transfer Equations. J. Sci. Comput. 77 (3) (2018)
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 (2018)
Tong Qin, Chi-Wang Shu
Implicit Positivity-Preserving High-Order Discontinuous Galerkin Methods for Conservation Laws. SIAM J. Sci. Comput. 40 (1) (2018)
Jun Zhu, Chi-Wang Shu
A new type of multi-resolution WENO schemes with increasingly higher order of accuracy. J. Comput. Phys. 375 (2018)
Waixiang Cao, Chi-Wang Shu, Yang Yang, Zhimin Zhang
Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations. SIAM J. Numer. Anal. 56 (2) (2018)
Yanlai Chen, Bo Dong, Chi-Wang Shu
A Foreword to the Special Issue in Honor of Professor Bernardo Cockburn on His 60th Birthday: A Life Time of Discontinuous Schemings. J. Sci. Comput. 77 (3) (2018)
Kailiang Wu, Chi-Wang Shu
A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics. SIAM J. Sci. Comput. 40 (5) (2018)
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 (2018)
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 (2018)
Yong Liu, Chi-Wang Shu, Mengping Zhang
Optimal Error Estimates of the Semidiscrete Central Discontinuous Galerkin Methods for Linear Hyperbolic Equations. SIAM J. Numer. Anal. 56 (1) (2018)
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 (2018)
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 (2018)
Tingting Li, Chi-Wang Shu, Mengping Zhang
Stability Analysis of the Inverse Lax-Wendroff Boundary Treatment for High Order Central Difference Schemes for Diffusion Equations. J. Sci. Comput. 70 (2) (2017)
Jun Zhu, Chi-Wang Shu
Numerical study on the convergence to steady state solutions of a new class of high order WENO schemes. J. Comput. Phys. 349 (2017)
Xingjie Helen Li, Chi-Wang Shu, Yang Yang
Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model. J. Sci. Comput. 73 (2-3) (2017)
Tianheng Chen, Chi-Wang Shu
Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws. J. Comput. Phys. 345 (2017)

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Publication Activity (10 Years)

Top Topics

Top Venues

Chi-Wang Shu