Chi-Wang Shu

Xinghui Zhong, Chi-Wang Shu: A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods. J. Comput. Physics 232(1): 397-415 (2013)

Yifan Zhang, Xiangxiong Zhang, Chi-Wang Shu: Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes. J. Comput. Physics 234: 295-316 (2013)

Xiangyu Hu, Nikolaus A. Adams, Chi-Wang Shu: Positivity-preserving method for high-order conservative schemes solving compressible Euler equations. J. Comput. Physics 242: 169-180 (2013)

Chi-Wang Shu: Preface. J. Sci. Comput. 54(2-3): 245-246 (2013)

Yulong Xing, Chi-Wang Shu: High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields. J. Sci. Comput. 54(2-3): 645-662 (2013)

Wei Wang, Chi-Wang Shu, H. C. Yee, Björn Sjögreen: High order finite difference methods with subcell resolution for advection equations with stiff source terms. J. Comput. Physics 231(1): 190-214 (2012)

Cheng Wang, Xiangxiong Zhang, Chi-Wang Shu, Jianguo Ning: Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations. J. Comput. Physics 231(2): 653-665 (2012)

Xiangxiong Zhang, Chi-Wang Shu: Positivity-preserving high order finite difference WENO schemes for compressible Euler equations. J. Comput. Physics 231(5): 2245-2258 (2012)

Sirui Tan, Cheng Wang, Chi-Wang Shu, Jianguo Ning: Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws. J. Comput. Physics 231(6): 2510-2527 (2012)

Xiangxiong Zhang, Yinhua Xia, Chi-Wang Shu: Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes. J. Sci. Comput. 50(1): 29-62 (2012)

Tao Xiong, Chi-Wang Shu, Mengping Zhang: WENO Scheme with Subcell Resolution for Computing Nonconservative Euler Equations with Applications to One-Dimensional Compressible Two-Medium Flows. J. Sci. Comput. 53(1): 222-247 (2012)

Yan Xu, Chi-Wang Shu: Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations. SIAM J. Numerical Analysis 50(1): 79-104 (2012)

Xiong Meng, Chi-Wang Shu, Qiang Zhang, Boying Wu: Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension. SIAM J. Numerical Analysis 50(5): 2336-2356 (2012)

Yang Yang, Chi-Wang Shu: Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations. SIAM J. Numerical Analysis 50(6): 3110-3133 (2012)

Xiangxiong Zhang, Yuanyuan Liu, Chi-Wang Shu: Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations. SIAM J. Scientific Computing 34(2) (2012)

Tao Xiong, Mengping Zhang, Chi-Wang Shu, S. C. Wong, Peng Zhang: High-Order Computational Scheme for a Dynamic Continuum Model for Bi-Directional Pedestrian Flows. Comp.-Aided Civil and Infrastruct. Engineering 26(4): 298-310 (2011)

Rui Zhang, Mengping Zhang, Chi-Wang Shu: High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model. J. Computational Applied Mathematics 236(5): 937-949 (2011)

Jing-Mei Qiu, Chi-Wang Shu: Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow. J. Comput. Physics 230(4): 863-889 (2011)

Xiangxiong Zhang, Chi-Wang Shu: Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms. J. Comput. Physics 230(4): 1238-1248 (2011)

Wei Wang, H. C. Yee, Björn Sjögreen, Thierry Magin, Chi-Wang Shu: Construction of low dissipative high-order well-balanced filter schemes for non-equilibrium flows. J. Comput. Physics 230(11): 4316-4335 (2011)

Sirui Tan, Chi-Wang Shu: A high order moving boundary treatment for compressible inviscid flows. J. Comput. Physics 230(15): 6023-6036 (2011)

Zhiliang Xu, Yingjie Liu, Huijing Du, Guang Lin, Chi-Wang Shu: Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws. J. Comput. Physics 230(17): 6843-6865 (2011)

Jing-Mei Qiu, Chi-Wang Shu: Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov-Poisson system. J. Comput. Physics 230(23): 8386-8409 (2011)

Shuhai Zhang, Shufen Jiang, Chi-Wang Shu: Improvement of Convergence to Steady State Solutions of Euler Equations with the WENO Schemes. J. Sci. Comput. 47(2): 216-238 (2011)

Yulong Xing, Chi-Wang Shu, Sebastian Noelle: On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations. J. Sci. Comput. 48(1-3): 339-349 (2011)

Chi-Wang Shu: WENO methods. Scholarpedia 6(5): 9709 (2011)

Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu: A Discontinuous Galerkin Solver for Front Propagation. SIAM J. Scientific Computing 33(2): 923-938 (2011)

Yuanyuan Liu, Chi-Wang Shu, Mengping Zhang: High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations. SIAM J. Scientific Computing 33(2): 939-965 (2011)

Yong-Tao Zhang, Shanqin Chen, Fengyan Li, Hongkai Zhao, Chi-Wang Shu: Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations. SIAM J. Scientific Computing 33(4): 1873-1896 (2011)

Yinhua Xia, Yan Xu, Chi-Wang Shu: Local discontinuous Galerkin methods for the generalized Zakharov system. J. Comput. Physics 229(4): 1238-1259 (2010)

Xiangxiong Zhang, Chi-Wang Shu: On maximum-principle-satisfying high order schemes for scalar conservation laws. J. Comput. Physics 229(9): 3091-3120 (2010)

Juan Cheng, Chi-Wang Shu: A cell-centered Lagrangian scheme with the preservation of symmetry and conservation properties for compressible fluid flows in two-dimensional cylindrical geometry. J. Comput. Physics 229(19): 7191-7206 (2010)

Sirui Tan, Chi-Wang Shu: Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws. J. Comput. Physics 229(21): 8144-8166 (2010)

Chunwu Wang, Chi-Wang Shu: An interface treating technique for compressible multi-medium flow with Runge-Kutta discontinuous Galerkin method. J. Comput. Physics 229(23): 8823-8843 (2010)

Xiangxiong Zhang, Chi-Wang Shu: On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. J. Comput. Physics 229(23): 8918-8934 (2010)

Sigal Gottlieb, Chi-Wang Shu: Foreword. J. Sci. Comput. 45(1-3): 1-2 (2010)

Tao Xiong, Mengping Zhang, Yong-Tao Zhang, Chi-Wang Shu: Fast Sweeping Fifth Order WENO Scheme for Static Hamilton-Jacobi Equations with Accurate Boundary Treatment. J. Sci. Comput. 45(1-3): 514-536 (2010)

Juan Cheng, Chi-Wang Shu: A Lagrangian scheme with the preservation of symmetry and conservation in cylindrical geometry: Preliminary study. Procedia CS 1(1): 1903-1911 (2010)

Yingda Cheng, Chi-Wang Shu: Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension. SIAM J. Numerical Analysis 47(6): 4044-4072 (2010)

Xiangxiong Zhang, Chi-Wang Shu: A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws. SIAM J. Numerical Analysis 48(2): 772-795 (2010)

Qiang Zhang, Chi-Wang Shu: Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Scalar Conservation Laws. SIAM J. Numerical Analysis 48(3): 1038-1063 (2010)

Zhiliang Xu, Yingjie Liu, Chi-Wang Shu: Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells. J. Comput. Physics 228(6): 2194-2212 (2009)

Zhiliang Xu, Yingjie Liu, Chi-Wang Shu: Hierarchical reconstruction for spectral volume method on unstructured grids. J. Comput. Physics 228(16): 5787-5802 (2009)

Wei Wang, Chi-Wang Shu, H. C. Yee, Björn Sjögreen: High-order well-balanced schemes and applications to non-equilibrium flow. J. Comput. Physics 228(18): 6682-6702 (2009)

Wei Liu, Juan Cheng, Chi-Wang Shu: High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations. J. Comput. Physics 228(23): 8872-8891 (2009)

Sigal Gottlieb, David I. Ketcheson, Chi-Wang Shu: High Order Strong Stability Preserving Time Discretizations. J. Sci. Comput. 38(3): 251-289 (2009)

Bernardo Cockburn, Chi-Wang Shu: Foreword. J. Sci. Comput. 40(1-3): 1-3 (2009)

Wei Wang, Chi-Wang Shu: The WKB Local Discontinuous Galerkin Method for the Simulation of Schrödinger Equation in a Resonant Tunneling Diode. J. Sci. Comput. 40(1-3): 360-374 (2009)

Yan Xu, Chi-Wang Shu: Local Discontinuous Galerkin Method for Surface Diffusion and Willmore Flow of Graphs. J. Sci. Comput. 40(1-3): 375-390 (2009)

Bo Dong, Chi-Wang Shu: Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems. SIAM J. Numerical Analysis 47(5): 3240-3268 (2009)

Chi-Wang Shu: High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems. SIAM Review 51(1): 82-126 (2009)

Yadong Lu, S. C. Wong, Mengping Zhang, Chi-Wang Shu: The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Discontinuous Flow-Density Relationship. Transportation Science 43(4): 511-530 (2009)

Wei Wang, Xiantao Li, Chi-Wang Shu: The Discontinuous Galerkin Method for the Multiscale Modeling of Dynamics of Crystalline Solids. Multiscale Modeling & Simulation 7(1): 294-320 (2008)

Yingda Cheng, Chi-Wang Shu: A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives. Math. Comput. 77(262): 699-730 (2008)

Yan Xu, Chi-Wang Shu: A Local Discontinuous Galerkin Method for the Camassa-Holm Equation. SIAM J. Numerical Analysis 46(4): 1998-2021 (2008)

Jing-Mei Qiu, Chi-Wang Shu: Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps. SIAM J. Numerical Analysis 46(5): 2211-2237 (2008)

Jing-Mei Qiu, Chi-Wang Shu: Convergence of High Order Finite Volume Weighted Essentially Nonoscillatory Scheme and Discontinuous Galerkin Method for Nonconvex Conservation Laws. SIAM J. Scientific Computing 31(1): 584-607 (2008)

Yan Xu, Chi-Wang Shu: Local Discontinuous Galerkin Method for the Hunter--Saxton Equation and Its Zero-Viscosity and Zero-Dispersion Limits. SIAM J. Scientific Computing 31(2): 1249-1268 (2008)

Shuhai Zhang, Chi-Wang Shu: A New Smoothness Indicator for the WENO Schemes and Its Effect on the Convergence to Steady State Solutions. J. Sci. Comput. 31(1-2): 273-305 (2007)

Jun Shen, Chi-Wang Shu, Mengping Zhang: A High Order WENO Scheme for a Hierarchical Size-Structured Population Model. J. Sci. Comput. 33(3): 279-291 (2007)

Jun Shen, Chi-Wang Shu, Mengping Zhang: High Resolution Schemes for a Hierarchical Size-Structured Model. SIAM J. Numerical Analysis 45(1): 352-370 (2007)

Yingjie Liu, Chi-Wang Shu, Eitan Tadmor, Mengping Zhang: Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction. SIAM J. Numerical Analysis 45(6): 2442-2467 (2007)

Sean Curtis, Robert M. Kirby, Jennifer K. Ryan, Chi-Wang Shu: Postprocessing for the Discontinuous Galerkin Method over Nonuniform Meshes. SIAM J. Scientific Computing 30(1): 272-289 (2007)

David I. Gottlieb, Jan S. Hesthaven, George E. Karniadakis, Chi-Wang Shu: Foreword. J. Sci. Comput. 27(1-3): 1-3 (2006)

Yulong Xing, Chi-Wang Shu: High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms. J. Sci. Comput. 27(1-3): 477-494 (2006)

Sigal Gottlieb, David I. Gottlieb, Chi-Wang Shu: Recovering High-Order Accuracy in WENO Computations of Steady-State Hyperbolic Systems. J. Sci. Comput. 28(2-3): 307-318 (2006)

Qiang Zhang, Chi-Wang Shu: Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws. SIAM J. Numerical Analysis 44(4): 1703-1720 (2006)

Doron Levy, Suhas Nayak, Chi-Wang Shu, Yong-Tao Zhang: Central WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes. SIAM J. Scientific Computing 28(6): 2229-2247 (2006)

Fengyan Li, Chi-Wang Shu: Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations. Appl. Math. Lett. 18(11): 1204-1209 (2005)

Fengyan Li, Chi-Wang Shu: Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations. J. Sci. Comput. 22(1): 413-442 (2005)

Chi-Wang Shu, Wai-Sun Don, David I. Gottlieb, Oleg Schilling, Leland Jameson: Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor-Green Vortex Flow. J. Sci. Comput. 24(1): 1-27 (2005)

Youngsoo Ha, Carl L. Gardner, Anne Gelb, Chi-Wang Shu: Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling. J. Sci. Comput. 24(1): 29-44 (2005)

Mark H. Carpenter, David I. Gottlieb, Jan S. Hesthaven, Chi-Wang Shu: Foreword. J. Sci. Comput. 25(1): 1-2 (2005)

Jennifer K. Ryan, Chi-Wang Shu, Harold Atkins: Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem. SIAM J. Scientific Computing 26(3): 821-843 (2005)

Jianxian Qiu, Chi-Wang Shu: Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters. SIAM J. Scientific Computing 26(3): 907-929 (2005)

Francis Filbet, Chi-Wang Shu: Approximation of Hyperbolic Models for Chemosensitive Movement. SIAM J. Scientific Computing 27(3): 850-872 (2005)

Jianxian Qiu, Chi-Wang Shu: A Comparison of Troubled-Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters. SIAM J. Scientific Computing 27(3): 995-1013 (2005)

Qiang Zhang, Chi-Wang Shu: Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws. SIAM J. Numerical Analysis 42(2): 641-666 (2004)

Mark H. Carpenter, David I. Gottlieb, Chi-Wang Shu: On the Conservation and Convergence to Weak Solutions of Global Schemes. J. Sci. Comput. 18(1): 111-132 (2003)

Chi-Wang Shu: Foreword. J. Sci. Comput. 19(1-3): 1-2 (2003)

Kurt Sebastian, Chi-Wang Shu: Multidomain WENO Finite Difference Method with Interpolation at Subdomain Interfaces. J. Sci. Comput. 19(1-3): 405-438 (2003)

Bernardo Cockburn, Mitchell Luskin, Chi-Wang Shu, Endre Süli: Enhanced accuracy by post-processing for finite element methods for hyperbolic equations. Math. Comput. 72(242): 577-606 (2003)

Jue Yan, Chi-Wang Shu: Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives. J. Sci. Comput. 17(1-4): 27-47 (2002)

Jue Yan, Chi-Wang Shu: A Local Discontinuous Galerkin Method for KdV Type Equations. SIAM J. Numerical Analysis 40(2): 769-791 (2002)

Tie Zhou, Yinfan Li, Chi-Wang Shu: Numerical Comparison of WENO Finite Volume and Runge-Kutta Discontinuous Galerkin Methods. J. Sci. Comput. 16(2): 145-171 (2001)

Bernardo Cockburn, Chi-Wang Shu: Runge-Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems. J. Sci. Comput. 16(3): 173-261 (2001)

Sigal Gottlieb, Chi-Wang Shu: Total variation diminishing Runge-Kutta schemes. Math. Comput. 67(221): 73-85 (1998)

Kaleem Siddiqi, Benjamin B. Kimia, Chi-Wang Shu: Geometric Shock-Capturing ENO Schemes for Subpixel Interpolation, Computation and Curve Evolution. CVGIP: Graphical Model and Image Processing 59(5): 278-301 (1997)

Joseph W. Jerome, Chi-Wang Shu: Transport effects and characteristic modes in the modeling and simulation of submicron devices. IEEE Trans. on CAD of Integrated Circuits and Systems 14(8): 917-923 (1995)

Zhangxin Chen, Bernardo Cockburn, Joseph W. Jerome, Chi-Wang Shu: Finite Element Computation of the Hydrodynamic Model of Semiconductor Devices. PPSC 1993: 228-236