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

Transport effects and characteristic modes in the modeling and simulation of submicron devices. - Joseph W. Jerome; Chi-Wang Shu (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 1995)

Mixed-RKDG Finite Element Methods for the 2-D Hydrodynamic Model for Semiconductor Device Simulation. - Zhangxin Chen; Bernardo Cockburn; Joseph W. Jerome; Chi-Wang Shu (VLSI Design, 1995)

The Response of the Hydrodynamic Model to Heat Conduction, Mobility, and Relaxation Expressions. - Joseph W. Jerome; Chi-Wang Shu (VLSI Design, 1995)

Geometric Shock-Capturing ENO Schemes for Subpixel Interpolation, Computation and Curve Evolution. - Kaleem Siddiqi; Benjamin B. Kimia; Chi-Wang Shu (CVGIP Graph. Model. Image Process., 1997)

On the Gibbs Phenomenon and Its Resolution. - David I. Gottlieb; Chi-Wang Shu (SIAM Rev., 1997)

Total variation diminishing Runge-Kutta schemes. - Sigal Gottlieb; Chi-Wang Shu (Math. Comput., 1998)

Applicability of the High Field Model: An Analytical Study Via Asymptotic Parameters Defining Domain Decomposition. - Carlo Cercignani; Irene M. Gamba; Joseph W. Jerome; Chi-Wang Shu (VLSI Design, 1998)

Applicability of the High Field Model: A Preliminary Numerical Study. - Carlo Cercignani; Irene M. Gamba; Joseph W. Jerome; Chi-Wang Shu (VLSI Design, 1998)

Analysis and Simulation of Extended Hydrodynamic Models: The Multi-Valley Gunn Oscillator and MESFET Symmetries. - Gui-Qiang G. Chen; Joseph W. Jerome; Chi-Wang Shu (VLSI Design, 1998)

A Discontinuous Galerkin Finite Element Method for Hamilton-Jacobi Equations. - Changqing Hu; Chi-Wang Shu (SIAM J. Sci. Comput., 1999)

Runge-Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems. - Bernardo Cockburn; Chi-Wang Shu (J. Sci. Comput., 2001)

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

Strong Stability-Preserving High-Order Time Discretization Methods. - Sigal Gottlieb; Chi-Wang Shu; Eitan Tadmor (SIAM Rev., 2001)

Approximation of the BTE by a Relaxation-time Operator: Simulations for a 50 nm-channel Si Diode. - Marcello A. Anile; José A. Carrillo 001; Irene M. Gamba; Chi-Wang Shu (VLSI Design, 2001)

Simulating Quasi-ballistic Transport in Si Nanotransistors. - Kausar Banoo; Jung-Hoon Rhew; Mark S. Lundstrom; Chi-Wang Shu; Joseph W. Jerome (VLSI Design, 2001)

Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives. - Jue Yan; Chi-Wang Shu (J. Sci. Comput., 2002)

A Local Discontinuous Galerkin Method for KdV Type Equations. - Jue Yan; Chi-Wang Shu (SIAM J. Numer. Anal., 2002)

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

Multidomain WENO Finite Difference Method with Interpolation at Subdomain Interfaces. - Kurt Sebastian; Chi-Wang Shu (J. Sci. Comput., 2003)

Foreword. - Chi-Wang Shu (J. Sci. Comput., 2003)

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

Finite Difference WENO Schemes with Lax-Wendroff-Type Time Discretizations. - Jianxian Qiu; Chi-Wang Shu (SIAM J. Sci. Comput., 2003)

High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes. - Yong-Tao Zhang; Chi-Wang Shu (SIAM J. Sci. Comput., 2003)

The Dynamics of a Plane Diode. - Yan Guo; Chi-Wang Shu; Tie Zhou (SIAM J. Math. Anal., 2004)

Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws. - Qiang Zhang 018; Chi-Wang Shu (SIAM J. Numer. Anal., 2004)

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

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

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

Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations. - Fengyan Li; Chi-Wang Shu (J. Sci. Comput., 2005)

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

The Heterogeneous Multiscale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems. - Shanqin Chen; Weinan E; Chi-Wang Shu (Multiscale Model. Simul., 2005)

Approximation of Hyperbolic Models for Chemosensitive Movement. - Francis Filbet; Chi-Wang Shu (SIAM J. Sci. Comput., 2005)

A Comparison of Troubled-Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters. - Jianxian Qiu; Chi-Wang Shu (SIAM J. Sci. Comput., 2005)

Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters. - Jianxian Qiu; Chi-Wang Shu (SIAM J. Sci. Comput., 2005)

Extension of a Post Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Application to an Aeroacoustic Problem. - Jennifer K. Ryan; Chi-Wang Shu; Harold Atkins (SIAM J. Sci. Comput., 2005)

2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods. - José A. Carrillo 001; Irene M. Gamba; Armando Majorana; Chi-Wang Shu (J. Comput. Phys., 2006)

High order residual distribution conservative finite difference WENO schemes for steady state problems on non-smooth meshes. - Ching-Shan Chou; Chi-Wang Shu (J. Comput. Phys., 2006)

A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes. - Jianxian Qiu; Boo Cheong Khoo; Chi-Wang Shu (J. Comput. Phys., 2006)

High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms. - Yulong Xing; Chi-Wang Shu (J. Comput. Phys., 2006)

Discontinuous Galerkin method based on non-polynomial approximation spaces. - Ling Yuan; Chi-Wang Shu (J. Comput. Phys., 2006)

A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway. - Peng Zhang 014; Sze Chun Wong; Chi-Wang Shu (J. Comput. Phys., 2006)

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

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

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

Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws. - Qiang Zhang 018; Chi-Wang Shu (SIAM J. Numer. Anal., 2006)

Central WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes. - Doron Levy; Suhas Nayak; Chi-Wang Shu; Yong-Tao Zhang (SIAM J. Sci. Comput., 2006)

A discontinuous Galerkin implementation of a domain decomposition method for kinetic-hydrodynamic coupling multiscale problems in gas dynamics and device simulations. - Shanqin Chen; Weinan E; Yunxian Liu; Chi-Wang Shu (J. Comput. Phys., 2007)

A high order ENO conservative Lagrangian type scheme for the compressible Euler equations. - Juan Cheng; Chi-Wang Shu (J. Comput. Phys., 2007)

A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations. - Yingda Cheng; Chi-Wang Shu (J. Comput. Phys., 2007)

High order residual distribution conservative finite difference WENO schemes for convection-diffusion steady state problems on non-smooth meshes. - Ching-Shan Chou; Chi-Wang Shu (J. Comput. Phys., 2007)

High-order well-balanced finite volume WENO schemes for shallow water equation with moving water. - Sebastian Noelle; Yulong Xing; Chi-Wang Shu (J. Comput. Phys., 2007)

Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. - Yinhua Xia; Yan Xu 008; Chi-Wang Shu (J. Comput. Phys., 2007)

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

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

Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction. - Yingjie Liu; Chi-Wang Shu; Eitan Tadmor; Mengping Zhang (SIAM J. Numer. Anal., 2007)

High Resolution Schemes for a Hierarchical Size-Structured Model. - Jun Shen; Chi-Wang Shu; Mengping Zhang (SIAM J. Numer. Anal., 2007)

Postprocessing for the Discontinuous Galerkin Method over Nonuniform Meshes. - Sean Curtis; Robert M. Kirby; Jennifer K. Ryan; Chi-Wang Shu (SIAM J. Sci. Comput., 2007)

Superconvergence and time evolution of discontinuous Galerkin finite element solutions. - Yingda Cheng; Chi-Wang Shu (J. Comput. Phys., 2008)

A second order discontinuous Galerkin fast sweeping method for Eikonal equations. - Fengyan Li; Chi-Wang Shu; Yong-Tao Zhang; Hongkai Zhao (J. Comput. Phys., 2008)

Development of nonlinear weighted compact schemes with increasingly higher order accuracy. - Shuhai Zhang; Shufen Jiang; Chi-Wang Shu (J. Comput. Phys., 2008)

Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. - Jun Zhu; Jianxian Qiu; Chi-Wang Shu; Michael Dumbser (J. Comput. Phys., 2008)

The Discontinuous Galerkin Method for the Multiscale Modeling of Dynamics of Crystalline Solids. - Wei Wang 027; Xiantao Li; Chi-Wang Shu (Multiscale Model. Simul., 2008)

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

Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps. - Jing-Mei Qiu; Chi-Wang Shu (SIAM J. Numer. Anal., 2008)

A Local Discontinuous Galerkin Method for the Camassa-Holm Equation. - Yan Xu 008; Chi-Wang Shu (SIAM J. Numer. Anal., 2008)

Convergence of High Order Finite Volume Weighted Essentially Nonoscillatory Scheme and Discontinuous Galerkin Method for Nonconvex Conservation Laws. - Jing-Mei Qiu; Chi-Wang Shu (SIAM J. Sci. Comput., 2008)

Local Discontinuous Galerkin Method for the Hunter–Saxton Equation and Its Zero-Viscosity and Zero-Dispersion Limits. - Yan Xu 008; Chi-Wang Shu (SIAM J. Sci. Comput., 2008)

High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations. - Wei Liu; Juan Cheng; Chi-Wang Shu (J. Comput. Phys., 2009)

High-order well-balanced schemes and applications to non-equilibrium flow. - Wei Wang 027; Chi-Wang Shu; H. C. Yee 001; Björn Sjögreen (J. Comput. Phys., 2009)

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

Hierarchical reconstruction for spectral volume method on unstructured grids. - Zhiliang Xu; Yingjie Liu; Chi-Wang Shu (J. Comput. Phys., 2009)

Foreword. - Bernardo Cockburn; Chi-Wang Shu (J. Sci. Comput., 2009)

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

The WKB Local Discontinuous Galerkin Method for the Simulation of Schrödinger Equation in a Resonant Tunneling Diode. - Wei Wang 027; Chi-Wang Shu (J. Sci. Comput., 2009)

Local Discontinuous Galerkin Method for Surface Diffusion and Willmore Flow of Graphs. - Yan Xu 008; Chi-Wang Shu (J. Sci. Comput., 2009)

Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems. - Bo Dong; Chi-Wang Shu (SIAM J. Numer. Anal., 2009)

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems. - Chi-Wang Shu (SIAM Rev., 2009)

The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Discontinuous Flow-Density Relationship. - Yadong Lu; Sze Chun Wong; Mengping Zhang; Chi-Wang Shu (Transp. Sci., 2009)

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

Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws. - Sirui Tan; Chi-Wang Shu (J. Comput. Phys., 2010)

An interface treating technique for compressible multi-medium flow with Runge-Kutta discontinuous Galerkin method. - Chunwu Wang; Chi-Wang Shu (J. Comput. Phys., 2010)

Local discontinuous Galerkin methods for the generalized Zakharov system. - Yinhua Xia; Yan Xu 008; Chi-Wang Shu (J. Comput. Phys., 2010)

On maximum-principle-satisfying high order schemes for scalar conservation laws. - Xiangxiong Zhang; Chi-Wang Shu (J. Comput. Phys., 2010)

On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. - Xiangxiong Zhang; Chi-Wang Shu (J. Comput. Phys., 2010)

Foreword. - Sigal Gottlieb; Chi-Wang Shu (J. Sci. Comput., 2010)

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

A Lagrangian scheme with the preservation of symmetry and conservation in cylindrical geometry: Preliminary study. - Juan Cheng; Chi-Wang Shu (ICCS, 2010)

Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension. - Yingda Cheng; Chi-Wang Shu (SIAM J. Numer. Anal., 2010)

A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws. - Xiangxiong Zhang; Chi-Wang Shu (SIAM J. Numer. Anal., 2010)

Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Scalar Conservation Laws. - Qiang Zhang 018; Chi-Wang Shu (SIAM J. Numer. Anal., 2010)

High-Order Computational Scheme for a Dynamic Continuum Model for Bi-Directional Pedestrian Flows. - Tao Xiong; Mengping Zhang; Chi-Wang Shu; Sze Chun Wong; Peng Zhang 014 (Comput. Aided Civ. Infrastructure Eng., 2011)

High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model. - Rui Zhang; Mengping Zhang; Chi-Wang Shu (J. Comput. Appl. Math., 2011)

Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow. - Jing-Mei Qiu; Chi-Wang Shu (J. Comput. Phys., 2011)

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

A high order moving boundary treatment for compressible inviscid flows. - Sirui Tan; Chi-Wang Shu (J. Comput. Phys., 2011)

Construction of low dissipative high-order well-balanced filter schemes for non-equilibrium flows. - Wei Wang 027; H. C. Yee 001; Björn Sjögreen; Thierry E. Magin; Chi-Wang Shu (J. Comput. Phys., 2011)

Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws. - Zhiliang Xu; Yingjie Liu; Huijing Du; Guang Lin 001; Chi-Wang Shu (J. Comput. Phys., 2011)

Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms. - Xiangxiong Zhang; Chi-Wang Shu (J. Comput. Phys., 2011)

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

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

WENO methods. - Chi-Wang Shu (Scholarpedia, 2011)

A Discontinuous Galerkin Solver for Front Propagation. - Olivier Bokanowski; Yingda Cheng; Chi-Wang Shu (SIAM J. Sci. Comput., 2011)

High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations. - Yuanyuan Liu; Chi-Wang Shu; Mengping Zhang (SIAM J. Sci. Comput., 2011)

Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations. - Yong-Tao Zhang; Shanqin Chen; Fengyan Li; Hongkai Zhao; Chi-Wang Shu (SIAM J. Sci. Comput., 2011)

Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws. - Sirui Tan; Cheng Wang; Chi-Wang Shu; Jianguo Ning (J. Comput. Phys., 2012)

High order finite difference methods with subcell resolution for advection equations with stiff source terms. - Wei Wang 027; Chi-Wang Shu; H. C. Yee 001; Björn Sjögreen (J. Comput. Phys., 2012)

Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations. - Cheng Wang; Xiangxiong Zhang; Chi-Wang Shu; Jianguo Ning (J. Comput. Phys., 2012)

Positivity-preserving high order finite difference WENO schemes for compressible Euler equations. - Xiangxiong Zhang; Chi-Wang Shu (J. Comput. Phys., 2012)

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

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

A minimum entropy principle of high order schemes for gas dynamics equations. - Xiangxiong Zhang; Chi-Wang Shu (Numerische Mathematik, 2012)

Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension. - Xiong Meng; Chi-Wang Shu; Qiang Zhang 018; Boying Wu (SIAM J. Numer. Anal., 2012)

Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations. - Yan Xu 008; Chi-Wang Shu (SIAM J. Numer. Anal., 2012)

Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations. - Yang Yang 014; Chi-Wang Shu (SIAM J. Numer. Anal., 2012)

Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations. - Xiangxiong Zhang; Yuanyuan Liu; Chi-Wang Shu (SIAM J. Sci. Comput., 2012)

Positivity-preserving method for high-order conservative schemes solving compressible Euler equations. - Xiangyu Hu 002; Nikolaus A. Adams; Chi-Wang Shu (J. Comput. Phys., 2013)

A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. - Wenrui Hao; Jonathan D. Hauenstein; Chi-Wang Shu; Andrew J. Sommese; Zhiliang Xu; Yong-Tao Zhang (J. Comput. Phys., 2013)

A new class of central compact schemes with spectral-like resolution I: Linear schemes. - Xuliang Liu; Shuhai Zhang; Hanxin Zhang; Chi-Wang Shu (J. Comput. Phys., 2013)

Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations. - Yang Yang 014; Dongming Wei; Chi-Wang Shu (J. Comput. Phys., 2013)

Spurious behavior of shock-capturing methods by the fractional step approach: Problems containing stiff source terms and discontinuities. - H. C. Yee 001; D. V. Kotov; Wei Wang 027; Chi-Wang Shu (J. Comput. Phys., 2013)

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]. - H. C. Yee 001; D. V. Kotov; Wei Wang 027; Chi-Wang Shu (J. Comput. Phys., 2013)

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

A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods. - Xinghui Zhong; Chi-Wang Shu (J. Comput. Phys., 2013)

Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes. - Jun Zhu; Xinghui Zhong; Chi-Wang Shu; Jianxian Qiu (J. Comput. Phys., 2013)

Preface. - Chi-Wang Shu (J. Sci. Comput., 2013)

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

Discontinuous Galerkin method for hyperbolic equations involving δ-singularities: negative-order norm error estimates and applications. - Yang Yang 014; Chi-Wang Shu (Numerische Mathematik, 2013)

An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax-Wendroff Time Discretization for Conservation Laws. - Yan Jiang; Chi-Wang Shu; Mengping Zhang (SIAM J. Sci. Comput., 2013)

Recovering exponential accuracy from collocation point values of smooth functions with end-point singularities. - Zheng Chen 005; Chi-Wang Shu (J. Comput. Appl. Math., 2014)

Positivity-preserving Lagrangian scheme for multi-material compressible flow. - Juan Cheng; Chi-Wang Shu (J. Comput. Phys., 2014)

Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates. - Juan Cheng; Chi-Wang Shu (J. Comput. Phys., 2014)

Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media. - Ching-Shan Chou; Chi-Wang Shu; Yulong Xing (J. Comput. Phys., 2014)

Multi-scale Discontinuous Galerkin Method for Solving Elliptic Problems with Curvilinear Unidirectional Rough Coefficients. - Yifan Zhang; Wei Wang 027; Johnny Guzmán; Chi-Wang Shu (J. Sci. Comput., 2014)

A discontinuous Galerkin scheme for front propagation with obstacles. - Olivier Bokanowski; Yingda Cheng; Chi-Wang Shu (Numerische Mathematik, 2014)

Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data. - Qiang Zhang 018; Chi-Wang Shu (Numerische Mathematik, 2014)

Discontinuous Galerkin Deterministic Solvers for a Boltzmann-Poisson Model of Hot Electron Transport by Averaged Empirical Pseudopotential Band Structures. - José A. Morales Escalante; Irene M. Gamba; Yingda Cheng; Armando Majorana; Chi-Wang Shu; James R. Chelikowsky (CoRR, 2015)

A new class of central compact schemes with spectral-like resolution II: Hybrid weighted nonlinear schemes. - Xuliang Liu; Shuhai Zhang; Hanxin Zhang; Chi-Wang Shu (J. Comput. Phys., 2015)

Parallel adaptive mesh refinement method based on WENO finite difference scheme for the simulation of multi-dimensional detonation. - Cheng Wang; Xinzhuang Dong; Chi-Wang Shu (J. Comput. Phys., 2015)

Recovering Exponential Accuracy in Fourier Spectral Methods Involving Piecewise Smooth Functions with Unbounded Derivative Singularities. - Zheng Chen 005; Chi-Wang Shu (J. Sci. Comput., 2015)

Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations. - Waixiang Cao; Chi-Wang Shu; Yang Yang 014; Zhimin Zhang 002 (SIAM J. Numer. Anal., 2015)

Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems. - Haijin Wang; Chi-Wang Shu; Qiang Zhang 018 (SIAM J. Numer. Anal., 2015)

Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems. - Haijin Wang; Chi-Wang Shu; Qiang Zhang 018 (Appl. Math. Comput., 2016)

Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes. - Tingting Li; Chi-Wang Shu; Mengping Zhang (J. Comput. Appl. Math., 2016)

An efficient class of WENO schemes with adaptive order. - Dinshaw S. Balsara; Sudip Garain; Chi-Wang Shu (J. Comput. Phys., 2016)

Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations. - Jianfang Lu; Jinwei Fang; Sirui Tan; Chi-Wang Shu; Mengping Zhang (J. Comput. Phys., 2016)

Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics. - Tong Qin 002; Chi-Wang Shu; Yang Yang 014 (J. Comput. Phys., 2016)

High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments. - Chi-Wang Shu (J. Comput. Phys., 2016)

Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part I: The one-dimensional case. - François Vilar; Chi-Wang Shu; Pierre-Henri Maire (J. Comput. Phys., 2016)

Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part II: The two-dimensional case. - François Vilar; Chi-Wang Shu; Pierre-Henri Maire (J. Comput. Phys., 2016)

A New Multiscale Discontinuous Galerkin Method for the One-Dimensional Stationary Schrödinger Equation. - Bo Dong; Chi-Wang Shu; Wei Wang 027 (J. Sci. Comput., 2016)

Convergence of discontinuous Galerkin schemes for front propagation with obstacles. - Olivier Bokanowski; Yingda Cheng; Chi-Wang Shu (Math. Comput., 2016)

Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations. - Xiong Meng; Chi-Wang Shu; Boying Wu (Math. Comput., 2016)

A High Order Stable Conservative Method for Solving Hyperbolic Conservation Laws on Arbitrarily Distributed Point Clouds. - Jie Du; Chi-Wang Shu (SIAM J. Sci. Comput., 2016)

High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations. - Daming Yuan; Juan Cheng; Chi-Wang Shu (SIAM J. Sci. Comput., 2016)

Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials. - Jichun Li 001; Cengke Shi; Chi-Wang Shu (Comput. Math. Appl., 2017)

Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws. - Tianheng Chen; Chi-Wang Shu (J. Comput. Phys., 2017)

A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. - Guosheng Fu; Chi-Wang Shu (J. Comput. Phys., 2017)

Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids. - Hua Shen 004; Chih-Yung Wen; Matteo Parsani; Chi-Wang Shu (J. Comput. Phys., 2017)

Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations. - Feng Zheng; Chi-Wang Shu; Jianxian Qiu (J. Comput. Phys., 2017)

Numerical study on the convergence to steady state solutions of a new class of high order WENO schemes. - Jun Zhu; Chi-Wang Shu (J. Comput. Phys., 2017)

Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model. - Xingjie Helen Li 001; Chi-Wang Shu; Yang Yang 014 (J. Sci. Comput., 2017)

Stability Analysis of the Inverse Lax-Wendroff Boundary Treatment for High Order Central Difference Schemes for Diffusion Equations. - Tingting Li; Chi-Wang Shu; Mengping Zhang (J. Sci. Comput., 2017)

A Simple Bound-Preserving Sweeping Technique for Conservative Numerical Approximations. - Yuan Liu 018; Yingda Cheng; Chi-Wang Shu (J. Sci. Comput., 2017)

Unconditional Energy Stability Analysis of a Second Order Implicit-Explicit Local Discontinuous Galerkin Method for the Cahn-Hilliard Equation. - Huailing Song; Chi-Wang Shu (J. Sci. Comput., 2017)

Discontinuous Galerkin Methods for Weakly Coupled Hyperbolic MultiDomain Problems. - Qingyuan Liu; Chi-Wang Shu; Mengping Zhang (SIAM J. Sci. Comput., 2017)

Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshes. - Cengke Shi; Jichun Li 001; Chi-Wang Shu (J. Comput. Appl. Math., 2018)

Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions. - Haijin Wang; Qiang Zhang 018; Chi-Wang Shu (J. Comput. Appl. Math., 2018)

Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms. - Juntao Huang; Chi-Wang Shu (J. Comput. Phys., 2018)

Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes. - Yong Liu 019; Chi-Wang Shu; Mengping Zhang (J. Comput. Phys., 2018)

A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials. - Zheng Sun 004; José A. Carrillo 001; Chi-Wang Shu (J. Comput. Phys., 2018)

A new type of multi-resolution WENO schemes with increasingly higher order of accuracy. - Jun Zhu; Chi-Wang Shu (J. Comput. Phys., 2018)

A Foreword to the Special Issue in Honor of Professor Bernardo Cockburn on His 60th Birthday: A Life Time of Discontinuous Schemings. - Yanlai Chen; Bo Dong; Chi-Wang Shu (J. Sci. Comput., 2018)

Conservative High Order Positivity-Preserving Discontinuous Galerkin Methods for Linear Hyperbolic and Radiative Transfer Equations. - Dan Ling; Juan Cheng; Chi-Wang Shu (J. Sci. Comput., 2018)

Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations. - Waixiang Cao; Chi-Wang Shu; Yang Yang 014; Zhimin Zhang 002 (SIAM J. Numer. Anal., 2018)

Optimal Error Estimates of the Semidiscrete Central Discontinuous Galerkin Methods for Linear Hyperbolic Equations. - Yong Liu 019; Chi-Wang Shu; Mengping Zhang (SIAM J. Numer. Anal., 2018)

Implicit Positivity-Preserving High-Order Discontinuous Galerkin Methods for Conservation Laws. - Tong Qin 002; Chi-Wang Shu (SIAM J. Sci. Comput., 2018)

A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics. - Kailiang Wu; Chi-Wang Shu (SIAM J. Sci. Comput., 2018)

Enforcing strong stability of explicit Runge-Kutta methods with superviscosity. - Zheng Sun 004; Chi-Wang Shu (CoRR, 2019)

An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation. - Guosheng Fu; Chi-Wang Shu (J. Comput. Appl. Math., 2019)

Assessment of aeroacoustic resolution properties of DG schemes and comparison with DRP schemes. - Ziqiang Cheng; Jinwei Fang; Chi-Wang Shu; Mengping Zhang (J. Comput. Phys., 2019)

Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems. - Guosheng Fu; Chi-Wang Shu (J. Comput. Phys., 2019)

Bounded and compact weighted essentially nonoscillatory limiters for discontinuous Galerkin schemes: Triangular elements. - Alireza Mazaheri; Chi-Wang Shu; Vincent Perrier (J. Comput. Phys., 2019)

A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes. - Jun Zhu; Chi-Wang Shu (J. Comput. Phys., 2019)

Positivity-Preserving Time Discretizations for Production-Destruction Equations with Applications to Non-equilibrium Flows. - Juntao Huang; Chi-Wang Shu (J. Sci. Comput., 2019)

A Third-Order Unconditionally Positivity-Preserving Scheme for Production-Destruction Equations with Applications to Non-equilibrium Flows. - Juntao Huang; Weifeng Zhao; Chi-Wang Shu (J. Sci. Comput., 2019)

Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise. - Yong Liu 019; Tianheng Chen; Yanlai Chen; Chi-Wang Shu (J. Sci. Comput., 2019)

Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection-Diffusion Problems. - Haijin Wang; Qiang Zhang 018; Chi-Wang Shu (J. Sci. Comput., 2019)

Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow. - Haijin Wang; Yunxian Liu; Qiang Zhang 018; Chi-Wang Shu (Math. Comput., 2019)

Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes. - Kailiang Wu; Chi-Wang Shu (Numerische Mathematik, 2019)

On New Strategies to Control the Accuracy of WENO Algorithms Close to Discontinuities. - Sergio Amat; Juan Ruiz 001; Chi-Wang Shu (SIAM J. Numer. Anal., 2019)

Strong Stability of Explicit Runge-Kutta Time Discretizations. - Zheng Sun 004; Chi-Wang Shu (SIAM J. Numer. Anal., 2019)

The L2-norm Stability Analysis of Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. - Yuan Xu; Qiang Zhang 018; Chi-Wang Shu; Haijin Wang (SIAM J. Numer. Anal., 2019)

A class of bound-preserving high order schemes: The main ideas and recent developments. - Chi-Wang Shu (75 Years of Mathematics of Computation, 2020)

Essentially non-oscillatory and weighted essentially non-oscillatory schemes. - Chi-Wang Shu (Acta Numer., 2020)

On a new WENO algorithm of order 2r with improved accuracy close to discontinuities. - Sergio Amat; Juan Ruiz 001; Chi-Wang Shu (Appl. Math. Lett., 2020)

Error analysis of Runge-Kutta discontinuous Galerkin methods for linear time-dependent partial differential equations. - Zheng Sun 004; Chi-Wang Shu (CoRR, 2020)

Sub-optimal convergence of discontinuous Galerkin methods with central fluxes for even degree polynomial approximations. - Yong Liu 019; Chi-Wang Shu; Mengping Zhang (CoRR, 2020)

Error Inhibiting Methods for Finite Elements. - Adi Ditkowski; Anne Le Blanc; Chi-Wang Shu (CoRR, 2020)

High order conservative Lagrangian schemes for one-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit. - Juan Cheng; Chi-Wang Shu; Peng Song 017 (J. Comput. Phys., 2020)

On the conservation of finite difference WENO schemes in non-rectangular domains using the inverse Lax-Wendroff boundary treatments. - Shengrong Ding; Chi-Wang Shu; Mengping Zhang (J. Comput. Phys., 2020)

High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters. - Jun Zhu; Jianxian Qiu; Chi-Wang Shu (J. Comput. Phys., 2020)

A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes. - Jun Zhu; Chi-Wang Shu (J. Comput. Phys., 2020)

An Ultra-Weak Discontinuous Galerkin Method with Implicit-Explicit Time-Marching for Generalized Stochastic KdV Equations. - Yunzhang Li; Chi-Wang Shu; Shanjian Tang (J. Sci. Comput., 2020)

Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Methods for a Linear Hyperbolic Equation. - Yuan Xu; Xiong Meng; Chi-Wang Shu; Qiang Zhang 018 (J. Sci. Comput., 2020)

Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy. - José A. Carrillo 001; Serafim Kalliadasis; Sergio P. Perez; Chi-Wang Shu (Multiscale Model. Simul., 2020)

An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. - Qi Tao; Yan Xu 008; Chi-Wang Shu (Math. Comput., 2020)

Existence and Computation of Solutions of a Model of Traffic Involving Hysteresis. - Haitao Fan; Chi-Wang Shu (SIAM J. Appl. Math., 2020)

A New WENO-2r Algorithm with Progressive Order of Accuracy Close to Discontinuities. - Sergio Amat; Juan Ruiz 001; Chi-Wang Shu; Dionisio F. Yáñez (SIAM J. Numer. Anal., 2020)

Error Estimate of the Fourth-Order Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations. - Yuan Xu; Chi-Wang Shu; Qiang Zhang 018 (SIAM J. Numer. Anal., 2020)

A Discontinuous Galerkin Method for Stochastic Conservation Laws. - Yunzhang Li; Chi-Wang Shu; Shanjian Tang (SIAM J. Sci. Comput., 2020)

Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations. - Kailiang Wu; Chi-Wang Shu (SIAM J. Sci. Comput., 2020)

Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. - Sergio Amat; Juan Ruiz-Álvarez 001; Chi-Wang Shu; Dionisio F. Yáñez (Appl. Math. Comput., 2021)

Dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations. - Qian Zhang; Yan Xu 008; Chi-Wang Shu (CoRR, 2021)

A discontinuous Galerkin method and its error estimate for nonlinear fourth-order wave equations. - Qi Tao; Yan Xu 008; Chi-Wang Shu (J. Comput. Appl. Math., 2021)

Multi-resolution HWENO schemes for hyperbolic conservation laws. - Jiayin Li; Chi-Wang Shu; Jianxian Qiu (J. Comput. Phys., 2021)

Weighted ghost fluid discontinuous Galerkin method for two-medium problems. - Yun-Long Liu; Chi-Wang Shu; A-Man Zhang (J. Comput. Phys., 2021)

An inverse Lax-Wendroff procedure for hyperbolic conservation laws with changing wind direction on the boundary. - Jianfang Lu; Chi-Wang Shu; Sirui Tan; Mengping Zhang (J. Comput. Phys., 2021)

A high order conservative finite difference scheme for compressible two-medium flows. - Feng Zheng; Chi-Wang Shu; Jianxian Qiu (J. Comput. Phys., 2021)

Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations. - Kailiang Wu; Chi-Wang Shu (Numerische Mathematik, 2021)

An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws. - Jianfang Lu; Yong Liu 019; Chi-Wang Shu (SIAM J. Numer. Anal., 2021)

Development and analysis of two new finite element schemes for a time-domain carpet cloak model. - Jichun Li 001; Chi-Wang Shu; Wei Yang 018 (Adv. Comput. Math., 2022)

Moment-based multi-resolution HWENO scheme for hyperbolic conservation laws. - Jiayin Li; Chi-Wang Shu; Jianxian Qiu (CoRR, 2022)

Provably Positive Central DG Schemes via Geometric Quasilinearization for Ideal MHD Equations. - Kailiang Wu; Haili Jiang; Chi-Wang Shu (CoRR, 2022)

Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise. - Jiawei Sun; Chi-Wang Shu; Yulong Xing (CoRR, 2022)

On the stability of strong-stability-preserving modified Patankar Runge-Kutta schemes. - Juntao Huang; Thomas Izgin; Stefan Kopecz; Andreas Meister 003; Chi-Wang Shu (CoRR, 2022)

Stability analysis of inverse Lax-Wendroff boundary treatment of high order compact difference schemes for parabolic equations. - Tingting Li; Jianfang Lu; Chi-Wang Shu (J. Comput. Appl. Math., 2022)

An improved simple WENO limiter for discontinuous Galerkin methods solving hyperbolic systems on unstructured meshes. - Jie Du; Chi-Wang Shu; Xinghui Zhong (J. Comput. Phys., 2022)

High order entropy stable and positivity-preserving discontinuous Galerkin method for the nonlocal electron heat transport model. - Nuo Lei; Juan Cheng; Chi-Wang Shu (J. Comput. Phys., 2022)

Multi-symplectic discontinuous Galerkin methods for the stochastic Maxwell equations with additive noise. - Jiawei Sun; Chi-Wang Shu; Yulong Xing (J. Comput. Phys., 2022)

Stability of high order finite difference and local discontinuous Galerkin schemes with explicit-implicit-null time-marching for high order dissipative and dispersive equations. - Meiqi Tan; Juan Cheng; Chi-Wang Shu (J. Comput. Phys., 2022)

High order conservative positivity-preserving discontinuous Galerkin method for stationary hyperbolic equations. - Ziyao Xu 002; Chi-Wang Shu (J. Comput. Phys., 2022)

Third order maximum-principle-satisfying and positivity-preserving Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws. - Ziyao Xu 002; Chi-Wang Shu (J. Comput. Phys., 2022)

Entropy Stable Galerkin Methods with Suitable Quadrature Rules for Hyperbolic Systems with Random Inputs. - Xinghui Zhong; Chi-Wang Shu (J. Sci. Comput., 2022)

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. - Jingqi Ai; Yuan Xu; Chi-Wang Shu; Qiang Zhang 018 (SIAM J. Numer. Anal., 2022)

An Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Systems. - Yong Liu 019; Jianfang Lu; Chi-Wang Shu (SIAM J. Sci. Comput., 2022)

Effects of Air Quality on Housing Location: A Predictive Dynamic Continuum User-Optimal Approach. - Liangze Yang; Sze Chun Wong; H. W. Ho; Mengping Zhang; Chi-Wang Shu (Transp. Sci., 2022)

On the approximation of derivative values using a WENO algorithm with progressive order of accuracy close to discontinuities. - Sergio Amat; Juan Ruiz-Álvarez 001; Chi-Wang Shu; Dionisio F. Yáñez (Comput. Appl. Math., 2022)

Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-Conservative Products. - Dinshaw S. Balsara; Deepak Bhoriya; Chi-Wang Shu; Harish Kumar 001 (CoRR, 2023)

Local discontinuous Galerkin methods for diffusive-viscous wave equations. - Dan Ling; Chi-Wang Shu; Wenjing Yan (J. Comput. Appl. Math., 2023)

A high order positivity-preserving conservative WENO remapping method based on a moving mesh solver. - Xiaolu Gu; Yue Li; Juan Cheng; Chi-Wang Shu (J. Comput. Phys., 2023)

A high order moving boundary treatment for convection-diffusion equations. - Shihao Liu; Yan Jiang; Chi-Wang Shu; Mengping Zhang; Shuhai Zhang (J. Comput. Phys., 2023)

A primal-dual approach for solving conservation laws with implicit in time approximations. - Siting Liu 003; Stanley J. Osher; Wuchen Li; Chi-Wang Shu (J. Comput. Phys., 2023)

On the conservation property of positivity-preserving discontinuous Galerkin methods for stationary hyperbolic equations. - Ziyao Xu 002; Chi-Wang Shu (J. Comput. Phys., 2023)

A high order positivity-preserving polynomial projection remapping method. - Nuo Lei; Juan Cheng; Chi-Wang Shu (J. Comput. Phys., 2023)

Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations. - Kailiang Wu; Haili Jiang; Chi-Wang Shu (SIAM J. Numer. Anal., 2023)

Correction to: Enhancing Reproducibility of Research Papers in SISC, JSC and JCP. - Hans De Sterck; Chi-Wang Shu; Rémi Abgrall (J. Sci. Comput., 2023)

Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation. - Haijin Wang; Fengyan Li; Chi-Wang Shu; Qiang Zhang 018 (Math. Comput., 2023)

Enhancing reproducibility of research papers in SISC, JSC and JCP. - Hans De Sterck; Chi-Wang Shu; Rémi Abgrall (J. Comput. Phys., 2023)

Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes. - Kailiang Wu; Chi-Wang Shu (SIAM Rev., 2023)

Bilevel optimization of a housing allocation and traffic emission problem in a predictive dynamic continuum transportation system. - Liangze Yang; Sze Chun Wong; H. W. Ho; Chi-Wang Shu; Mengping Zhang (Comput. Aided Civ. Infrastructure Eng., 2023)

Approximated decompositions for computational continuum mechanics. - Rafael B. de R. Borges; Flávio C. Colman; Nicholas D. P. da Silva; Gabriela W. O. Dicati; José E. Gubaua; Chi-Wang Shu (J. Comput. Phys., 2023)

A high order, block finite difference, error inhibiting scheme for the transport equation. - Adi Ditkowski; Anne Le Blanc; Chi-Wang Shu (CoRR, 2024)

Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Conservation Laws. - Dinshaw S. Balsara; Deepak Bhoriya; Chi-Wang Shu; Harish Kumar 001 (CoRR, 2024)

Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-Conservative Products. - Dinshaw S. Balsara; Deepak Bhoriya; Chi-Wang Shu; Harish Kumar 001 (CoRR, 2024)

A non-separable progressive multivariate WENO-2r point value. - Pep Mulet; Juan Ruiz-Álvarez 001; Chi-Wang Shu; Dionisio F. Yáñez (CoRR, 2024)

High order conservative finite difference WENO scheme for three-temperature radiation hydrodynamics. - Juan Cheng; Chi-Wang Shu (J. Comput. Phys., 2024)

High order conservative Lagrangian schemes for two-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit. - Nuo Lei; Juan Cheng; Chi-Wang Shu (J. Comput. Phys., 2024)

A new type of simplified inverse Lax-Wendroff boundary treatment I: Hyperbolic conservation laws. - Shihao Liu; Tingting Li; Ziqiang Cheng; Yan Jiang; Chi-Wang Shu; Mengping Zhang (J. Comput. Phys., 2024)

Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system with Dougherty-Fokker-Planck collision operator. - Boyang Ye; Jingwei Hu; Chi-Wang Shu; Xinghui Zhong (J. Comput. Phys., 2024)

Analysis of the boundary conditions for the ultraweak-local discontinuous Galerkin method of time-dependent linear fourth-order problems. - Fengyu Fu; Chi-Wang Shu; Qi Tao; Boying Wu (Math. Comput., 2024)

A local discontinuous Galerkin method for the Novikov equation. - Qi Tao; Xiang-Ke Chang; Yong Liu 019; Chi-Wang Shu (Math. Comput., 2024)

Analysis of Local Discontinuous Galerkin Methods with Implicit-Explicit Time Marching for Linearized KdV Equations. - Haijin Wang; Qi Tao; Chi-Wang Shu; Qiang Zhang 018 (SIAM J. Numer. Anal., 2024)

An Entropy Stable Essentially Oscillation-Free Discontinuous Galerkin Method for Hyperbolic Conservation Laws. - Yong Liu 019; Jianfang Lu; Chi-Wang Shu (SIAM J. Sci. Comput., 2024)

Local Characteristic Decomposition-Free High-Order Finite Difference WENO Schemes for Hyperbolic Systems Endowed with a Coordinate System of Riemann Invariants. - Ziyao Xu 002; Chi-Wang Shu (SIAM J. Sci. Comput., 2024)

High order conservative Lagrangian scheme for three-temperature radiation hydrodynamics. - Juan Cheng; Nuo Lei; Chi-Wang Shu (J. Comput. Phys., 2024)

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. - Yuan Xu; Chi-Wang Shu; Qiang Zhang 018 (J. Sci. Comput., 2024)

A High-Order Well-Balanced Discontinuous Galerkin Method for Hyperbolic Balance Laws Based on the Gauss-Lobatto Quadrature Rules. - Ziyao Xu 002; Chi-Wang Shu (J. Sci. Comput., 2024)

Correction to: Implicit-Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection-Diffusion Problems. - Haijin Wang; Qiang Zhang 018; Chi-Wang Shu (J. Sci. Comput., 2024)

High-order implicit maximum-principle-preserving local discontinuous Galerkin methods for convection-diffusion equations. - Kaichang Yu; Juan Cheng; Yuanyuan Liu; Chi-Wang Shu (J. Comput. Appl. Math., 2025)

Second order conservative Lagrangian DG schemes for compressible flow and their application in preserving spherical symmetry in two-dimensional cylindrical geometry. - Wenjing Feng; Juan Cheng; Chi-Wang Shu (J. Comput. Phys., 2025)

A two-stage two-derivative fourth order positivity-preserving discontinuous Galerkin method for hyperbolic conservation laws. - Tianjiao Li; Juan Cheng; Chi-Wang Shu (J. Comput. Phys., 2025)

High-order inverse Lax-Wendroff procedure for compressible fluid-structure interaction problems. - Zepeng Liu; Yan Jiang; Chi-Wang Shu; Mengping Zhang (J. Comput. Phys., 2025)

An entropy stable essentially oscillation-free discontinuous Galerkin method for solving ideal magnetohydrodynamic equations. - Yong Liu 019; Jianfang Lu; Chi-Wang Shu (J. Comput. Phys., 2025)

High order finite difference scheme with explicit-implicit-null time-marching for the compressible Navier-Stokes equations. - Meiqi Tan; Juan Cheng; Chi-Wang Shu (J. Comput. Phys., 2025)

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. - Yan Tan; Jun Zhu; Chi-Wang Shu; Jianxian Qiu (J. Comput. Phys., 2025)

Finite difference alternative WENO schemes with Riemann invariant-based local characteristic decompositions for compressible Euler equations. - Yue Wu; Chi-Wang Shu (J. Comput. Phys., 2025)

A Second-Order Bound-Preserving Exponential Scheme for Degenerate Parabolic Equations. - Chang Chen; Chi-Wang Shu (SIAM J. Sci. Comput., 2025)

A structure-preserving multiscale solver for particle-wave interaction in non-uniform magnetized plasmas. - Kun Huang; Irene M. Gamba; Chi-Wang Shu (CoRR, 2025)

A high-order, conservative and positivity-preserving intersection-based remapping method between meshes with isoparametric curvilinear cells. - Nuo Lei; Juan Cheng; Chi-Wang Shu (CoRR, 2025)

An Alternative Finite Difference WENO-like Scheme with Physical Constraint Preservation for Divergence-Preserving Hyperbolic Systems. - Dinshaw S. Balsara; Deepak Bhoriya; Chi-Wang Shu (CoRR, 2025)

Optimal Error Estimate of a Discontinuous Galerkin Method for One-Dimensional Linear Hyperbolic Equation with Degenerate Points Moving Along Space-Time Curves. - Yuan Xu; Xiong Meng; Chi-Wang Shu; Qiang Zhang 018 (J. Sci. Comput., 2025)

The ultraweak-local discontinuous Galerkin method for extended Fisher-Kolmogorov equations. - Fengyu Fu; Chi-Wang Shu; Qi Tao (J. Comput. Appl. Math., 2026)