Shock Capturing, Level Sets, and PDE-Based Methods in Computer Vision and Image Processing: A Review of Osher's Contribution

R. I. Fedkiw, G. Sapiro, and C.-W. Shu

Local Discontinuous Galerkin Methods For Partial Differential Equations With Higher-Order Derivatives

J. Yan and C.-W. Shu

Under-Resolution and Diagnostics in Spectral Simulations of Complex-Geometry Flows

R. M. Kirby and G. E. Karniadakis

A Semi-Lagrangian Method For Turbulence Simulations Using Mixed Spectral Discretizations

J. Xu, D. Xiu, and G. E. Karniadakis

Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation

M. Jardak, C. H. Su, and G. E. Karniadakis

Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos

d. Xiu, D. Lucor, C. H. Su, and G. E. Karniadakis

High-Order Unstructured Grid Methods for Time-Domain Electromagnetics

J. S. Hesthaven and T. Warburton

A Survey of Strong Stability-Preserving High-Order Time Discretizations

C.-W. Shu

High-Order WENO Schemes For the Hamilton-Jacobi Equations on Triangular Meshes

Y. Zhang and C.-W. Shu

A WENO Solver For the 1D Non-Stationary Boltzmann-Poisson System for Semiconductor Devices

J. A. Carrillo, I. M. Gamba, A. Majorana, and C.-W. Shu

Long-Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics

S. Abarbanel, D. Gottlieb, and J. S. Hesthaven

On the Conservation and Convergence to Weak Solutions of Global Schemes

M. H. Carpenter, D. Gottlieb, and C.-W. Shu

Numerical Solution of a Virtual Internal Bond Model For Material Fracture

P. Lin and C.-W. Shu

Nodal High-Order Discontinuous Galerkin Method for the Spherical Shallow Water Equations

F. X. Giraldo, J. S. Hesthaven, and T. Warburton

On the Construction, Comparison, and Local Characteristic Decomposition For High-Order Central WENO Schemes

J. Qiu and C.-W. Shu

A Local Discontinuous Galerkin Method for KdV-Type Equations

J. Yan and C.-W. Shu

Multi-Domain Pseudospectral Time-Domain Simulations of Scattering By Objects Buried in Lossy Media

G. X. Fan, Q. H. Liu, and J. S. Hesthaven

A Multidomain Pseudospectral Formulation For the Simulation of Elastic Wave Scattering

S. A. Nielsen and J. S. Hesthaven

High-Order Finite-Difference and Finite-Volume WENO Schemes and Discontinuous Galerkin Methods for CFD

C.-W. Shu

Adaptive High-Order Finite-Difference Method For Nonlinear Wave Problems

I. Fatkullin and J. S. Hesthaven

Modeling Uncertainty in Flow Simulations Via Polynomial Chaos

D. Xiu and G. E. Karniadakis

A Semi-Lagrangian High-Order Method for Navier-Stokes Equations

D. Xiu and G. E. Karniadakis

High-Order/Spectral Methods on Unstructured Grids I. Time-Domain Solution of Maxwell's Equations

J. S. Hesthaven and T. Warburton

Numerical Study on Landau Damping

T. Zhou, Y. Guo, and C.-W. Shu

Fast and Accurate Modeling of Waveguide Grating Couplers. II. The Three-Dimensional Vectorial Case

P. Dinesen and J.S. Hesthaven