Chi-Wang Shu

发表

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, 2016, Appl. Math. Comput..

A New Multiscale Discontinuous Galerkin Method for the One-Dimensional Stationary Schrödinger Equation

Bo Dong, Chi-Wang Shu, Wei Wang, 2016, Journal of Scientific Computing.

A Foreword to the Special Issue in Honor of Professor Bernardo Cockburn on His 60th Birthday: A Life Time of Discontinuous Schemings

Bo Dong, Chi-Wang Shu, Yanlai Chen, 2018, J. Sci. Comput..

Well-Balanced Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy

Jos'e A. Carrillo, Chi-Wang Shu, Serafim Kalliadasis, 2018, Multiscale Model. Simul..

Stability Analysis of the Inverse Lax–Wendroff Boundary Treatment for High Order Central Difference Schemes for Diffusion Equations

Chi-Wang Shu, Tingting Li, Mengping Zhang, 2017, J. Sci. Comput..

A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations

Chi-Wang Shu, Yingda Cheng, Chi-Wang Shu, 2007, Journal of Computational Physics.

Positivity-preserving Lagrangian scheme for multi-material compressible flow

Chi-Wang Shu, Juan Cheng, Chi-Wang Shu, 2014, J. Comput. Phys..

A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes

Chi-Wang Shu, Jianxian Qiu, Boo Cheong Khoo, 2006, J. Comput. Phys..

Convergence of discontinuous Galerkin schemes for front propagation with obstacles

Chi-Wang Shu, Yingda Cheng, Olivier Bokanowski, 2014, Math. Comput..

Application of an Accuracy Enhancing Post-Processing Method to Aeroacoustic Simulations

Jennifer K. Ryan, Chi-Wang Shu, Harold L. Atkins, 2003 .

Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow

Haijin Wang, Chi-Wang Shu, Qiang Zhang, 2017, Math. Comput..

A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes

Chi-Wang Shu, Jun Zhu, Chi-Wang Shu, 2020, J. Comput. Phys..

Enhanced accuracy by post-processing for finite element methods for hyperbolic equations

Endre Süli, Chi-Wang Shu, Bernardo Cockburn, 2003, Math. Comput..

Geometric Shock-Capturing ENO Schemes for Subpixel Interpolation, Computation and Curve Evolution

Kaleem Siddiqi, Benjamin B. Kimia, Chi-Wang Shu, 1997, CVGIP Graph. Model. Image Process..

Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms

Chi-Wang Shu, Juntao Huang, 2018, J. Comput. Phys..

A second order discontinuous Galerkin fast sweeping method for Eikonal equations

Chi-Wang Shu, Hongkai Zhao, Fengyan Li, 2008, J. Comput. Phys..

High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems

Chi-Wang Shu, Chi-Wang Shu, 2009, SIAM Rev..

The Heterogeneous Multiscale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems

E Weinan, Chi-Wang Shu, Shanqin Chen, 2005, Multiscale Model. Simul..

Analysis of the discontinuous Galerkin method applied to the diffusion operator

Chi-Wang Shu, H. Atkins, 1999 .

Foreword by the Editor-in-Chief

Chi-Wang Shu, Chi-Wang Shu, 2019, Communication on Applied Mathematics and Computation.

Conservative High Order Positivity-Preserving Discontinuous Galerkin Methods for Linear Hyperbolic and Radiative Transfer Equations

Chi-Wang Shu, Juan Cheng, Dan Ling, 2018, J. Sci. Comput..

Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws

Cheng Wang, Chi-Wang Shu, Jianguo Ning, 2012, J. Comput. Phys..

Improvement of Convergence to Steady State Solutions of Euler Equations with the WENO Schemes

Chi-Wang Shu, Shuhai Zhang, Shufen Jiang, 2011, J. Sci. Comput..

A Local Discontinuous Galerkin Method for the Camassa-Holm Equation

Yan Xu, Chi-Wang Shu, Chi-Wang Shu, 2008, SIAM J. Numer. Anal..

A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics

Kailiang Wu, Chi-Wang Shu, Chi-Wang Shu, 2018, SIAM J. Sci. Comput..

Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part I: The one-dimensional case

Pierre-Henri Maire, Chi-Wang Shu, François Vilar, 2015, J. Comput. Phys..

Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations

Chi-Wang Shu, Jianfang Lu, Mengping Zhang, 2016, J. Comput. Phys..

Bounded and compact weighted essentially nonoscillatory limiters for discontinuous Galerkin schemes: Triangular elements

Chi-Wang Shu, Alireza Mazaheri, Vincent Perrier, 2019, J. Comput. Phys..

Local Discontinuous Galerkin Method for the Hunter--Saxton Equation and Its Zero-Viscosity and Zero-Dispersion Limits

Yan Xu, Chi-Wang Shu, Chi-Wang Shu, 2008, SIAM J. Sci. Comput..

Recent developments on the Lagrangian and remapping methods for compressible fluid flows

Chi-Wang Shu, Juan Cheng, Chi-Wang Shu, 2012 .

Construction of low dissipative high-order well-balanced filter schemes for non-equilibrium flows

Chi-Wang Shu, Björn Sjögreen, H. C. Yee, 2009, J. Comput. Phys..

An Ultra-Weak Discontinuous Galerkin Method with Implicit–Explicit Time-Marching for Generalized Stochastic KdV Equations

Chi-Wang Shu, Yunzhang Li, Shanjian Tang, 2020, J. Sci. Comput..

Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws

Zhiliang Xu, Guang Lin, Chi-Wang Shu, 2011, J. Comput. Phys..

Discontinuous Galerkin Deterministic Solvers for a Boltzmann-Poisson Model of Hot Electron Transport by Averaged Empirical Pseudopotential Band Structures pdf

Chi-Wang Shu, Yingda Cheng, James R. Chelikowsky, 2015, ArXiv.

Strong Stability-Preserving High-Order Time Discretization Methods

Chi-Wang Shu, Eitan Tadmor, Sigal Gottlieb, 2001, SIAM Rev..

The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Discontinuous Flow-Density Relationship

Yadong Lu, Chi-Wang Shu, Mengping Zhang, 2009, Transp. Sci..

Numerical Convergence Study of Nearly Incompressible, Inviscid Taylor–Green Vortex Flow

Leland Jameson, Chi-Wang Shu, David I. Gottlieb, 2005, J. Sci. Comput..

Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations

Kailiang Wu, Chi-Wang Shu, Chi-Wang Shu, 2019, SIAM J. Sci. Comput..

Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Method for Symmetrizable Systems of Conservation Laws

Chi-Wang Shu, Qiang Zhang, Chi-Wang Shu, 2006, SIAM J. Numer. Anal..

A discontinuous Galerkin scheme for front propagation with obstacles

Chi-Wang Shu, Yingda Cheng, Olivier Bokanowski, 2014, Numerische Mathematik.

An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives

Yan Xu, Chi-Wang Shu, Qi Tao, 2020, Math. Comput..

High Order Accuracy Computational Methods in Aerodynamics Using Parallel Architectures

Chi-Wang Shu, W. S. Don, Paul Fischer, 1995 .

A new class of central compact schemes with spectral-like resolution I: Linear schemes

Chi-Wang Shu, Shuhai Zhang, Xuliang Liu, 2013, J. Comput. Phys..

A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws

Zhiliang Xu, Wenrui Hao, Chi-Wang Shu, 2013, J. Comput. Phys..

Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids

Hua Shen, Matteo Parsani, Chi-Wang Shu, 2017, J. Comput. Phys..

Simulating Quasi-ballistic Transport in Si Nanotransistors

Chi-Wang Shu, Kausar Banoo, Mark S. Lundstrom, 2001, VLSI Design.

Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations

Yan Xu, Chi-Wang Shu, Chi-Wang Shu, 2012, SIAM J. Numer. Anal..

Third order implicit-explicit Runge-Kutta local discontinuous Galerkin methods with suitable boundary treatment for convection-diffusion problems with Dirichlet boundary conditions

Haijin Wang, Chi-Wang Shu, Qiang Zhang, 2018, J. Comput. Appl. Math..

A new class of central compact schemes with spectral-like resolution II: Hybrid weighted nonlinear schemes

Chi-Wang Shu, Shuhai Zhang, Xuliang Liu, 2015, J. Comput. Phys..

On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

Xiangxiong Zhang, Chi-Wang Shu, Chi-Wang Shu, 2010, J. Comput. Phys..

Spurious behavior of shock-capturing methods by the fractional step approach: Problems containing stiff source terms and discontinuities

Chi-Wang Shu, H. C. Yee, Wei Wang, 2013, J. Comput. Phys..

High order residual distribution conservative finite difference WENO schemes for convection-diffusion steady state problems on non-smooth meshes

Chi-Wang Shu, Ching-Shan Chou, Chi-Wang Shu, 2007, J. Comput. Phys..

High-order well-balanced finite volume WENO schemes for shallow water equation with moving water

Yulong Xing, Chi-Wang Shu, Sebastian Noelle, 2007, J. Comput. Phys..

High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields

Yulong Xing, Chi-Wang Shu, Chi-Wang Shu, 2013, J. Sci. Comput..

Error Estimate of the Fourth-Order Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations

Chi-Wang Shu, Qiang Zhang, Yuan Xu, 2020, SIAM J. Numer. Anal..

Discontinuous Galerkin method for hyperbolic equations involving $$\delta $$-singularities: negative-order norm error estimates and applications

Chi-Wang Shu, Yang Yang, 2013, Numerische Mathematik.

Approximation of Hyperbolic Models for Chemosensitive Movement

Francis Filbet, Chi-Wang Shu, Chi-Wang Shu, 2005, SIAM J. Sci. Comput..

Multi-scale Discontinuous Galerkin Method for Solving Elliptic Problems with Curvilinear Unidirectional Rough Coefficients

Yifan Zhang, Chi-Wang Shu, Wei Wang, 2014, Journal of Scientific Computing.

The WKB Local Discontinuous Galerkin Method for the Simulation of Schrödinger Equation in a Resonant Tunneling Diode

Chi-Wang Shu, Wei Wang, Chi-Wang Shu, 2009, J. Sci. Comput..

Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations

Waixiang Cao, Zhimin Zhang, Chi-Wang Shu, 2018, SIAM J. Numer. Anal..

Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems

Bo Dong, Chi-Wang Shu, Chi-Wang Shu, 2009, SIAM J. Numer. Anal..

A Simple Bound-Preserving Sweeping Technique for Conservative Numerical Approximations

Yuan Liu, Chi-Wang Shu, Yingda Cheng, 2017, J. Sci. Comput..

Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise

Yong Liu, Chi-Wang Shu, Yanlai Chen, 2019, Journal of Scientific Computing.

An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation

Chi-Wang Shu, Guosheng Fu, Chi-Wang Shu, 2018, J. Comput. Appl. Math..

A New Smoothness Indicator for the WENO Schemes and Its Effect on the Convergence to Steady State Solutions

Chi-Wang Shu, Shuhai Zhang, Chi-Wang Shu, 2007, J. Sci. Comput..

Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws

Chi-Wang Shu, Sirui Tan, Chi-Wang Shu, 2010, J. Comput. Phys..

A weighted essentially non-oscillatory numerical scheme for a multi-class traffic flow model on an inhomogeneous highway

Sze Chun Wong, Chi-Wang Shu, Peng Zhang, 2006, J. Comput. Phys..

Discontinuous Galerkin Methods for Weakly Coupled Hyperbolic MultiDomain Problems

Chi-Wang Shu, Mengping Zhang, Qingyuan Liu, 2017, SIAM J. Sci. Comput..

Dynamic continuum pedestrian flow model with memory effect.

Chi-Wang Shu, Yinhua Xia, S C Wong, 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods

Chi-Wang Shu, Chi-Wang Shu, 2016 .

An efficient class of WENO schemes with adaptive order

Dinshaw S. Balsara, Chi-Wang Shu, Sudip Garain, 2016, J. Comput. Phys..

Foreword

Chi-Wang Shu, David I. Gottlieb, Jan S. Hesthaven, 2005, J. Sci. Comput..

Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction

Chi-Wang Shu, Eitan Tadmor, Yingjie Liu, 2007, SIAM J. Numer. Anal..

Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes

Yifan Zhang, Xiangxiong Zhang, Chi-Wang Shu, 2013, J. Comput. Phys..

Superconvergence and time evolution of discontinuous Galerkin finite element solutions

Chi-Wang Shu, Yingda Cheng, Chi-Wang Shu, 2008, J. Comput. Phys..

Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling

Anne Gelb, Chi-Wang Shu, Carl L. Gardner, 2005, J. Sci. Comput..

Local discontinuous Galerkin methods for the Cahn-Hilliard type equations

Yan Xu, Chi-Wang Shu, Yinhua Xia, 2007, J. Comput. Phys..

High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations

Yuanyuan Liu, Chi-Wang Shu, Mengping Zhang, 2011, SIAM J. Sci. Comput..

Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model

Chi-Wang Shu, Yang Yang, Xingjie Helen Li, 2017, Journal of Scientific Computing.

Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells

Zhiliang Xu, Chi-Wang Shu, Yingjie Liu, 2009, J. Comput. Phys..

A High Order WENO Scheme for a Hierarchical Size-Structured Population Model

Jun Shen, Chi-Wang Shu, Mengping Zhang, 2007, J. Sci. Comput..

A High Order Stable Conservative Method for Solving Hyperbolic Conservation Laws on Arbitrarily Distributed Point Clouds

Chi-Wang Shu, Jie Du, Chi-Wang Shu, 2016, SIAM J. Sci. Comput..

Analysis and Simulation of Extended Hydrodynamic Models: The Multi-Valley Gunn Oscillator and MESFET Symmetries

Chi-Wang Shu, Joseph W. Jerome, Gui-Qiang Chen, 1998, VLSI Design.

Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations

Chi-Wang Shu, Fengyan Li, Chi-Wang Shu, 2005, Appl. Math. Lett..

Applicability of the High Field Model: An Analytical Study Via Asymptotic Parameters Defining Domain Decomposition

Chi-Wang Shu, Irene M. Gamba, Joseph W. Jerome, 1998, VLSI Design.

Numerical study on the convergence to steady state solutions of a new class of high order WENO schemes

Jun Zhu, Chi-Wang Shu, Chi-Wang Shu, 2017, J. Comput. Phys..

High Order ENO and WENO Schemes for Computational Fluid Dynamics

Chi-Wang Shu, Chi-Wang Shu, 1999 .

A Third-Order Unconditionally Positivity-Preserving Scheme for Production–Destruction Equations with Applications to Non-equilibrium Flows

Chi-Wang Shu, Juntao Huang, Weifeng Zhao, 2018, J. Sci. Comput..

Local discontinuous Galerkin methods for the generalized Zakharov system

Yan Xu, Chi-Wang Shu, Yinhua Xia, 2010, J. Comput. Phys..

A new type of multi-resolution WENO schemes with increasingly higher order of accuracy

Jun Zhu, Chi-Wang Shu, Chi-Wang Shu, 2018, J. Comput. Phys..

Postprocessing for the Discontinuous Galerkin Method over Nonuniform Meshes

Jennifer K. Ryan, Robert Michael Kirby, Chi-Wang Shu, 2007, SIAM J. Sci. Comput..

A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws

Chi-Wang Shu, Guosheng Fu, Chi-Wang Shu, 2017, J. Comput. Phys..

Convergence of High Order Finite Volume Weighted Essentially Nonoscillatory Scheme and Discontinuous Galerkin Method for Nonconvex Conservation Laws

Chi-Wang Shu, Jing-Mei Qiu, Chi-Wang Shu, 2008, SIAM J. Sci. Comput..

Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations

Chi-Wang Shu, Feng Zheng, Jianxian Qiu, 2017, J. Comput. Phys..

High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments

Chi-Wang Shu, Chi-Wang Shu, 2016, J. Comput. Phys..

A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives

Chi-Wang Shu, Yingda Cheng, Chi-Wang Shu, 2007, Math. Comput..

Handbook of numerical methods for hyperbolic problems: applied and modern issues

Rémi Abgrall, Chi-Wang Shu, Chi-Wang Shu, 2017 .

Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates

Chi-Wang Shu, Juan Cheng, Chi-Wang Shu, 2014, J. Comput. Phys..

High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

Chi-Wang Shu, Yong-Tao Zhang, Chi-Wang Shu, 2003, SIAM J. Sci. Comput..

Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems

Chi-Wang Shu, Guosheng Fu, Chi-Wang Shu, 2018, J. Comput. Phys..

High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms

Yulong Xing, Chi-Wang Shu, Chi-Wang Shu, 2006, J. Sci. Comput..

Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations

Chi-Wang Shu, Hongkai Zhao, Fengyan Li, 2011, SIAM J. Sci. Comput..

Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations

Yuanyuan Liu, Xiangxiong Zhang, Chi-Wang Shu, 2012, SIAM J. Sci. Comput..

Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations

Cheng Wang, Xiangxiong Zhang, Chi-Wang Shu, 2012, J. Comput. Phys..

A Discontinuous Galerkin Finite Element Method for Hamilton-Jacobi Equations

Chi-Wang Shu, Changqing Hu, Chi-Wang Shu, 1999, SIAM J. Sci. Comput..

Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes

Yong Liu, Chi-Wang Shu, Mengping Zhang, 2018, J. Comput. Phys..

Equipment for Visualization of Large-Scale Fluid Dynamics Calculations.

Chi-Wang Shu, W. S. Don, Paul Fischer, 1996 .

Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

Chi-Wang Shu, Tianheng Chen, Chi-Wang Shu, 2017, J. Comput. Phys..

Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations

Chi-Wang Shu, Yang Yang, Chi-Wang Shu, 2012, SIAM J. Numer. Anal..

Recovering Exponential Accuracy in Fourier Spectral Methods Involving Piecewise Smooth Functions with Unbounded Derivative Singularities

Zheng Chen, Chi-Wang Shu, 2015, J. Sci. Comput..

SSP Properties of Multistep Multi-Stage Methods

Chi-Wang Shu, David I. Ketcheson, Sigal Gottlieb, 2011 .

Positivity-preserving high order finite difference WENO schemes for compressible Euler equations

Xiangxiong Zhang, Chi-Wang Shu, Chi-Wang Shu, 2012, J. Comput. Phys..

Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes

Kailiang Wu, Chi-Wang Shu, Chi-Wang Shu, 2018, Numerische Mathematik.

A Comparison of Troubled-Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters

Chi-Wang Shu, Jianxian Qiu, Chi-Wang Shu, 2005, SIAM J. Sci. Comput..

Fast Sweeping Fifth Order WENO Scheme for Static Hamilton-Jacobi Equations with Accurate Boundary Treatment

Chi-Wang Shu, Mengping Zhang, Tao Xiong, 2010, J. Sci. Comput..

Assessment of aeroacoustic resolution properties of DG schemes and comparison with DRP schemes

Chi-Wang Shu, Mengping Zhang, Jinwei Fang, 2019, J. Comput. Phys..

2D semiconductor device simulations by WENO-Boltzmann schemes: Efficiency, boundary conditions and comparison to Monte Carlo methods

Chi-Wang Shu, Irene M. Gamba, José A. Carrillo, 2006, J. Comput. Phys..

Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems

Chi-Wang Shu, Bernardo Cockburn, Chi-Wang Shu, 2001, J. Sci. Comput..

The Discontinuous Galerkin Method for the Multiscale Modeling of Dynamics of Crystalline Solids

Chi-Wang Shu, Wei Wang, Xiantao Li, 2008, Multiscale Model. Simul..

High order residual distribution conservative finite difference WENO schemes for steady state problems on non-smooth meshes

Chi-Wang Shu, Ching-Shan Chou, Chi-Wang Shu, 2006, J. Comput. Phys..

Recovering exponential accuracy from collocation point values of smooth functions with end-point singularities

Zheng Chen, Chi-Wang Shu, 2014, J. Comput. Appl. Math..

Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations

Boying Wu, Chi-Wang Shu, Xiong Meng, 2015, Math. Comput..

A Local Discontinuous Galerkin Method for KdV Type Equations

Chi-Wang Shu, Jue Yan, Chi-Wang Shu, 2002, SIAM J. Numer. Anal..

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]

Chi-Wang Shu, H. C. Yee, Wei Wang, 2013, J. Comput. Phys..

Overview: The Development of SSP Methods

Chi-Wang Shu, David I. Ketcheson, Sigal Gottlieb, 2011 .

Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics

Chi-Wang Shu, Yang Yang, Tong Qin, 2016, J. Comput. Phys..

A high order ENO conservative Lagrangian type scheme for the compressible Euler equations

Chi-Wang Shu, Juan Cheng, Chi-Wang Shu, 2007, J. Comput. Phys..

Finite Difference WENO Schemes with Lax-Wendroff-Type Time Discretizations

Chi-Wang Shu, Jianxian Qiu, Chi-Wang Shu, 2002, SIAM J. Sci. Comput..

Performance of a discontinuous Galerkin solver for semiconductor boltzmann equations

Chi-Wang Shu, Yingda Cheng, Armando Majorana, 2010, 2010 14th International Workshop on Computational Electronics.

WENO Scheme with Subcell Resolution for Computing Nonconservative Euler Equations with Applications to One-Dimensional Compressible Two-Medium Flows

Chi-Wang Shu, Mengping Zhang, Tao Xiong, 2012, Journal of Scientific Computing.

Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders. Part II: The two-dimensional case

Pierre-Henri Maire, Chi-Wang Shu, François Vilar, 2016, J. Comput. Phys..

Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms

Xiangxiong Zhang, Chi-Wang Shu, Chi-Wang Shu, 2011, J. Comput. Phys..

Strong Stability of Explicit Runge-Kutta Time Discretizations

Zheng Sun, Chi-Wang Shu, Chi-Wang Shu, 2018, SIAM J. Numer. Anal..

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, Chi-Wang Shu, 2006, J. Comput. Phys..

Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws

Chi-Wang Shu, Qiang Zhang, Chi-Wang Shu, 2004, SIAM J. Numer. Anal..

High-Order Computational Scheme for a Dynamic Continuum Model for Bi-Directional Pedestrian Flows

Sze Chun Wong, Chi-Wang Shu, Mengping Zhang, 2011, Comput. Aided Civ. Infrastructure Eng..

High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model

Rui Zhang, Chi-Wang Shu, Mengping Zhang, 2011, J. Comput. Appl. Math..

An interface treating technique for compressible multi-medium flow with Runge-Kutta discontinuous Galerkin method

Chi-Wang Shu, Chunwu Wang, Chi-Wang Shu, 2010, J. Comput. Phys..

A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes

Jun Zhu, Chi-Wang Shu, Chi-Wang Shu, 2019, J. Comput. Phys..

Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters

Michael Dumbser, Jun Zhu, Chi-Wang Shu, 2005, SIAM J. Sci. Comput..

On the Conservation and Convergence to Weak Solutions of Global Schemes

Chi-Wang Shu, David I. Gottlieb, Mark H. Carpenter, 2003, J. Sci. Comput..

An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax-Wendroff Time Discretization for Conservation Laws

Yan Jiang, Chi-Wang Shu, Mengping Zhang, 2013, SIAM J. Sci. Comput..

Numerical Comparison of WENO Finite Volume and Runge–Kutta Discontinuous Galerkin Methods

Chi-Wang Shu, Tie Zhou, Yinfan Li, 2001, J. Sci. Comput..

Discontinuous Galerkin method based on non-polynomial approximation spaces

Ling Yuan, Chi-Wang Shu, Chi-Wang Shu, 2006, J. Comput. Phys..

High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations

Chi-Wang Shu, Wei Liu, Juan Cheng, 2009, J. Comput. Phys..

Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension

Boying Wu, Chi-Wang Shu, Qiang Zhang, 2012, SIAM J. Numer. Anal..

Recovering High-Order Accuracy in WENO Computations of Steady-State Hyperbolic Systems

Chi-Wang Shu, Sigal Gottlieb, David I. Gottlieb, 2006, J. Sci. Comput..

Central WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

Chi-Wang Shu, Doron Levy, Yong-Tao Zhang, 2006, SIAM J. Sci. Comput..

High Resolution Schemes for a Hierarchical Size-Structured Model

Jun Shen, Chi-Wang Shu, Mengping Zhang, 2007, SIAM J. Numer. Anal..

Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension

Chi-Wang Shu, Yingda Cheng, Chi-Wang Shu, 2010, SIAM J. Numer. Anal..

Parallel adaptive mesh refinement method based on WENO finite difference scheme for the simulation of multi-dimensional detonation

Cheng Wang, Chi-Wang Shu, Xinzhuang Dong, 2015, J. Comput. Phys..

A Discontinuous Galerkin Method for Stochastic Conservation Laws

Chi-Wang Shu, Shanjian Tang, Yunzhang Li, 2020, SIAM J. Sci. Comput..

On maximum-principle-satisfying high order schemes for scalar conservation laws

Xiangxiong Zhang, Chi-Wang Shu, Chi-Wang Shu, 2010, J. Comput. Phys..

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, 2015, SIAM J. Numer. Anal..

The L2-norm Stability Analysis of Runge-Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations

Haijin Wang, Chi-Wang Shu, Qiang Zhang, 2019, SIAM J. Numer. Anal..

Discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials on unstructured meshes

Chi-Wang Shu, Jichun Li, Cengke Shi, 2018, J. Comput. Appl. Math..

On the Gibbs Phenomenon and Its Resolution

Chi-Wang Shu, David I. Gottlieb, Chi-Wang Shu, 1997, SIAM Rev..

A cell-centered Lagrangian scheme with the preservation of symmetry and conservation properties for compressible fluid flows in two-dimensional cylindrical geometry

Chi-Wang Shu, Juan Cheng, Chi-Wang Shu, 2010, J. Comput. Phys..

Total variation diminishing Runge-Kutta schemes

Chi-Wang Shu, Sigal Gottlieb, Chi-Wang Shu, 1998, Math. Comput..

Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data

Chi-Wang Shu, Qiang Zhang, Chi-Wang Shu, 2014, Numerische Mathematik.

A discontinuous Galerkin implementation of a domain decomposition method for kinetic-hydrodynamic coupling multiscale problems in gas dynamics and device simulations

E Weinan, Chi-Wang Shu, Yunxian Liu, 2007, J. Comput. Phys..

Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow

Chi-Wang Shu, Jing-Mei Qiu, Chi-Wang Shu, 2011, J. Comput. Phys..

Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials

Chi-Wang Shu, Jichun Li, Cengke Shi, 2017, Comput. Math. Appl..

Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations

Chi-Wang Shu, Yang Yang, Dongming Wei, 2013, J. Comput. Phys..

Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes

Jun Zhu, Chi-Wang Shu, Jianxian Qiu, 2013, J. Comput. Phys..

Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes

Xiangxiong Zhang, Chi-Wang Shu, Yinhua Xia, 2011, Journal of Scientific Computing.

High order finite difference methods with subcell resolution for advection equations with stiff source terms

Chi-Wang Shu, Björn Sjögreen, H. C. Yee, 2012, J. Comput. Phys..

High Order Strong Stability Preserving Time Discretizations

Chi-Wang Shu, David I. Ketcheson, Sigal Gottlieb, 2009, J. Sci. Comput..

The follow-the-crowd effect in a pedestrian flow model

Shing Chung Josh Wong, Chi-Wang Shu, Yinhua Xia, 2007 .

Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters

Chi-Wang Shu, Jianxian Qiu, Chi-Wang Shu, 2005, SIAM J. Sci. Comput..

Approximation of the BTE by a Relaxation-time Operator: Simulations for a 50 nm-channel Si Diode

Chi-Wang Shu, Irene M. Gamba, José A. Carrillo, 2001, VLSI Design.

Positivity-Preserving Time Discretizations for Production–Destruction Equations with Applications to Non-equilibrium Flows

Chi-Wang Shu, Juntao Huang, Chi-Wang Shu, 2018, J. Sci. Comput..

Recent Advances in Computational Sciences: Selected Papers from the International Workshop on Computational Sciences and Its Education; Beijing, China 29-31 August 2005

Chi-Wang Shu, Palle Jorgensen, Xiaoping Shen, 2008 .

Unconditional Energy Stability Analysis of a Second Order Implicit–Explicit Local Discontinuous Galerkin Method for the Cahn–Hilliard Equation

Chi-Wang Shu, Huailing Song, Chi-Wang Shu, 2017, Journal of Scientific Computing.

High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations

Chi-Wang Shu, Juan Cheng, Daming Yuan, 2016, SIAM J. Sci. Comput..

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, 2005, SIAM J. Sci. Comput..

Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps

Chi-Wang Shu, Jing-Mei Qiu, Chi-Wang Shu, 2008, SIAM J. Numer. Anal..

Implicit Positivity-Preserving High-Order Discontinuous Galerkin Methods for Conservation Laws

Chi-Wang Shu, Tong Qin, Chi-Wang Shu, 2018, SIAM J. Sci. Comput..

Energy transport systems for semiconductors: analysis and simulation

Chi-Wang Shu, Joseph W. Jermone, 1995 .

Positivity-preserving method for high-order conservative schemes solving compressible Euler equations

Nikolaus A. Adams, Chi-Wang Shu, Xiangyu Hu, 2013, J. Comput. Phys..

Applicability of the High Field Model: A Preliminary Numerical Study

Chi-Wang Shu, Irene M. Gamba, Joseph W. Jerome, 1998, VLSI Design.

Optimal Error Estimates of the Semidiscrete Central Discontinuous Galerkin Methods for Linear Hyperbolic Equations

Chi-Wang Shu, Mengping Zhang, Yong Liu, 2018, SIAM J. Numer. Anal..

Development of nonlinear weighted compact schemes with increasingly higher order accuracy

Chi-Wang Shu, Shuhai Zhang, Shufen Jiang, 2008, J. Comput. Phys..

Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations

Waixiang Cao, Zhimin Zhang, Chi-Wang Shu, 2015, SIAM J. Numer. Anal..

A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws

Xiangxiong Zhang, Chi-Wang Shu, 2010, SIAM J. Numer. Anal..

A Lagrangian scheme with the preservation of symmetry and conservation in cylindrical geometry: Preliminary study

Chi-Wang Shu, Juan Cheng, Chi-Wang Shu, 2010, ICCS.

High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters

Jun Zhu, Chi-Wang Shu, Jianxian Qiu, 2020, J. Comput. Phys..

Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: Theoretical analysis and application to the Vlasov-Poisson system

Chi-Wang Shu, Jing-Mei Qiu, Chi-Wang Shu, 2011, J. Comput. Phys..

Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Scalar Conservation Laws

Chi-Wang Shu, Qiang Zhang, Chi-Wang Shu, 2010, SIAM J. Numer. Anal..

Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations

Chi-Wang Shu, Fengyan Li, Chi-Wang Shu, 2005, J. Sci. Comput..

Local Discontinuous Galerkin Method for Surface Diffusion and Willmore Flow of Graphs

Yan Xu, Chi-Wang Shu, Chi-Wang Shu, 2009, J. Sci. Comput..

A Discontinuous Galerkin Solver for Front Propagation

Chi-Wang Shu, Yingda Cheng, Olivier Bokanowski, 2011, SIAM J. Sci. Comput..

Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media

Yulong Xing, Chi-Wang Shu, Ching-Shan Chou, 2014, J. Comput. Phys..

Progress in high-resolution numerical simulation of explosion mechanics

Cheng Wang, Chi-Wang Shu, 2015 .

Hierarchical reconstruction for spectral volume method on unstructured grids

Zhiliang Xu, Chi-Wang Shu, Yingjie Liu, 2009, J. Comput. Phys..

High-order well-balanced schemes and applications to non-equilibrium flow

Chi-Wang Shu, Björn Sjögreen, H. C. Yee, 2009, J. Comput. Phys..

Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes

Chi-Wang Shu, Tingting Li, Mengping Zhang, 2016, J. Comput. Appl. Math..

The Development of Discontinuous Galerkin Methods

George Em Karniadakis, Chi-Wang Shu, Bernardo Cockburn, 2000 .

Finite Element Computation of the Hydrodynamic Model of Semiconductor Devices

Zhangxin Chen, Chi-Wang Shu, Bernardo Cockburn, 1993, PPSC.

A high order moving boundary treatment for compressible inviscid flows

Chi-Wang Shu, Sirui Tan, Chi-Wang Shu, 2011, J. Comput. Phys..

On the Advantage of Well-Balanced Schemes for Moving-Water Equilibria of the Shallow Water Equations

Yulong Xing, Chi-Wang Shu, Sebastian Noelle, 2011, J. Sci. Comput..

WENO methods

Chi-Wang Shu, Chi-Wang Shu, 2011, Scholarpedia.

Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives

Chi-Wang Shu, Jue Yan, Chi-Wang Shu, 2002, J. Sci. Comput..

A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials

Zheng Sun, Chi-Wang Shu, José A. Carrillo, 2017, J. Comput. Phys..

A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods

Chi-Wang Shu, Xinghui Zhong, Chi-Wang Shu, 2013, J. Comput. Phys..

Multidomain WENO Finite Difference Method with Interpolation at Subdomain Interfaces

Chi-Wang Shu, Kurt Sebastian, Chi-Wang Shu, 2003, J. Sci. Comput..

Transport effects and characteristic modes in the modeling and simulation of submicron devices

Chi-Wang Shu, Joseph W. Jerome, Chi-Wang Shu, 1995, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..