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

Q. Zhang and C.-W. Shu

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

Y. Xing and C.-W. Shu

Anti-Diffusive Flux Correction for High-Order Finite Difference WENO Schemes

Z. Xu and C.-W. Shu

Local Discontinuous Galerkin Methods for Two Classes of Two-Dimensional Nonlinear Wave Equations

Y. Xu and C.-W. Shu

The Stochastic Piston Problem

G. Lin, C.-H. Su, and G.E. Karniadakis

Hermite WENO Schemes For Hamilton-Jacobi Equations

J. Qiu and C.-W. Shu

A Comparison of Troubled Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using WENO Limiters

J. Qiu and C.-W. Shu

Analysis of Preconditioning and Relaxation Operators for the Discontinuous Galerkin Method Applied to Diffusion

H. Atkins and C.-W. Shu

The Heterogeneous Multi-Scale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems

S. Chen, W.E., and C.-W. Shu

High Order Finite Difference WENO Schemes with the Exact Conservation Property for the Shallow Water Equations

Y. Xing and C.-W. Shu

Local Discontinuous Galerkin Methods for Nonlinear Shroedinger Equations

Y. Xu and C.-W. Shu

Central WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

D. Levy , S. Nayak, C.-W. Shu, and Y.-T. Zhang

Local Discontinuous Galerkin Methods for the Kuramoto-Sivashinsky Equations and the Ito-type Coupled KdV Equations

Y. Xu and C.-W. Shu

Analytical Theory of Grating Couplers for Waveguilde Sensing: A Perturbation Approach and its Limitations

R. Horvath, L.C. Wilcox, H.C. Pedersen, N. Skivesen, J.S. Hesthaven, and P.M. Johansen

A Hybrid Cosmological Hydrodynamic/N-Body Code Based on a Weighted Essentially Non-Oscillatory Scheme

L.-L. Feng, C.-W. Shu, and M. Zhang

Discontinuous Galerkin Methods for the Time-Domain Maxwell's Equations: An Introduction

J.S. Hesthaven and T. Warburton

Approximation of Hyperbolic Models for Chemosensitive Movements

F. Filbet and C.-W. Shu

Local Discontinuous Galerkin Methods for Three Classes of Nonlinear Wave Equations

Y. Xu and C.-W. Shu

The Discontinuous Galerkin Method with Lax-Wendroff Type Time Discretization

J. Qiu, M. Dumbser, and C.-W. Shu