Shu, Chi-Wang - Division of Applied Mathematics, Brown University

• Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: theoretical analysis and application to the Vlasov-Poisson system
• A Macroscopic Approach to the Lane Formation Phenomenon in Pedestrian Counter Flow , Peng Zhang2
• DISCONTINUOUS GALERKIN METHODS FOR THE ONE-DIMENSIONAL VLASOV-POISSON SYSTEM
• Conservative semi-Lagrangian finite difference WENO formulations with applications to the Vlasov equation
• Maximum-principle-satisfying and positivity-preserving high order schemes
• A DISCONTINUOUS GALERKIN SCHEME FOR FRONT PROPAGATION WITH OBSTACLES
• Noname manuscript No. (will be inserted by the editor)
• Construction of Low Dissipative High-Order Well-Balanced Filter Schemes for Non-Equilibrium Flows
• Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations
• A high order adaptive finite element method for solving nonlinear hyperbolic conservation laws
• A conservative Lagrangian scheme for solving compressible fluid flows with multiple internal energy equations
• High-order finite volume WENO schemes for the shallow water equations with Yulong Xing1
• On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations
• A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows
• Uniformly accurate discontinuous Galerkin fast sweeping methods for Eikonal equations
• Improvement on spherical symmetry in two-dimensional cylindrical coordinates for a class of control volume Lagrangian
• Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes 1
• Central Local Discontinuous Galerkin Methods on Overlapping Cells for Diffusion Equations
• High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured
• Point-wise Hierarchical Reconstruction for Discontinuous Galerkin and Finite Volume Methods for
• Numerical resolution of discontinuous Galerkin methods for time dependent wave equations1
• Improvement of convergence to steady state solutions of Euler equations with weighted compact nonlinear schemes
• Optimal error estimates of the semi-discrete local discontinuous Galerkin methods for high order wave
• Superconvergence of the local discontinuous Galerkin method for linear fourth order time dependent problems in one space dimension1
• Effect of Dust on Lyman-alpha Photon Transfer in Optically Thick Halo , Ishani Roy2
• A minimum entropy principle of high order schemes for gas dynamics Xiangxiong Zhang2
• Positivity-preserving high order finite difference WENO schemes for compressible Euler equations1
• Fields Institute Communications Volume 00, 0000
• High order finite difference methods with subcell resolution for advection equations with stiff source
• Maximum-principle-satisfying high order finite volume WENO schemes for convection-diffusion equations1
• Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws
• SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN METHOD FOR LINEAR HYPERBOLIC EQUATIONS IN ONE SPACE DIMENSION
• High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields
• WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows
• A priori error estimates for semi-discrete discontinuous Galerkin methods solving nonlinear Hamilton-Jacobi equations with smooth solutions
• Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for linear hyperbolic equation
• Energy conserving local discontinuous Galerkin methods for wave propagation Yulong Xing1
• SUPERCONVERGENCE OF DISCONTINUOUS GALERKIN METHOD FOR SCALAR NONLINEAR CONSERVATION LAWS IN