Long-Term Behavior of Polynomial Chaos in Stochastic Flow Simulations

X. Wan and G.E. Karniadakis

Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method for Nonlinear Convection-Diffusion and KdV Equations

Y. Xu and C.-W. Shu

A High Order Accurate Conservative Remapping Method on Staggered Meshes

J. Cheng and C.-W. Shu

Discontinuous Galerkin Method Based on Non-Polynomial Approximation

L. Yuan and C.-W. Shu

A Local-Structure Preserving Local Discontinuous Galerkin Method for the Laplace Equation

F. Li and C.-W. Shu

Local Discontinuous Galerkin Methods for Moment Models in Device Simulations: Performance Assessment and Two-Dimensional Results

Y. Liu and C.-W. Shu

A Domain Decomposition Method for Kinetic-Hydrodynamic Multiscale Problems in Gas Dynamics and Device Simulations Using the Discontinuous Galerkin Methods

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

High Resolution Schemes for a Hierarchical Size-Structured Model

J. Shen, C.-W. Shu, and M. Zhang

Reduced Navier-Stokes Equations Near a Flow Boundary

M.S. Kilic, G.B. Jacobs, J.S. Hesthaven, and G. Haller

A New Approach of High Order Well-Balance Finite Volume WENO Schemes and DIscontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms

Y. Xing and C.-W. Shu

High Order Residual Distribution Conservative Finite Difference WENO Schemes for Steady State Problems on Non-Smooth Meshes

C.-C. Chou, and C.-W. Shu

Low-Redshift Cosmic Baryon Fluid on Large Scales: A Fully Developed Turbulence

P. He, L.-L. Feng, C.-W. Shu, and L.-Z. Fang

Demonstrating Shock Mitigation and Drag Reduced by Pulsed Energy Lines with Multi-Domain WENO

K. Kremeyer, K. Sebastian, and C.-W. Shu

Effects of Shock Waves on Rayleigh-Taylor Instabilities

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

2D Semiconductor Device Simulations by WENO-Boltzmann Schemes: Efficiency, Boundary Conditions, and Comparison to Monte Carlo Methods

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

A Weighted Essentially Non-Oscillatory Numerical Scheme for a Multi-Class Traffic Flow Model on an Inhomogeneous Highway

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

Gappy Data: To Krig or Not To Krig

H. Gunes, S. Sirisup, and G.E. Karniadakis

A Numerical Study of the Performance ofthe Runge-Kutta Discontinuous Galerkin Method Based on Different Numerical Fluxes

J. Qiu, B.C. Khoo, and C.-W. Shu

Anti-Diffusive High-Order WENO Schemes for Hamilton-Jacobi Equations

Z. Xu and C.-W. Shu

The Next Step in Coastal Numerical Models: Spectral/hp Element Methods

C. Eskilsson, A.P. Engsig-Karup, S.J. Sherwin, J.S. Hesthaven, and L. Bergdahl

Non-Linear PML Equations for Time-Dependent Electromagnetics in Three Dimensions

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

Time-Consisten Filtering in Spectral and Spectral Element Methods

A. Kanevksy, M.H. Carpenter, and J.S. Hesthaven

Pade-Jacobi Approximants

J.S. Hesthaven and S.M. Kaber

Pade-Legendre Interpolants for Gibbs Reconstruction

J.S. Hesthaven, S.M. Kaber, and L. Lurati

A Survey of Parallel Mesh Generation Methods

N. Chrisochoides

High-Order Well-balanced Finite Volume WENO and Discontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms

Y. Xing and C.-W. Shu

An Adaptive Multi-Element Generalized Polynomial Chaos Method for Stochastic Differential Equations

X. Wan and G.E. Karniadakis

A Discontinuous Galerkin Method for Two-Temperature Plasmas

G. Lin and G.E. Karniadakis

Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation

X. Wan, D. Xiu, and G.E. Karniadakis

Adaptive Generalize Polynomial Chaos for Nonlinear Random Oscillations

D. Lucor and G.E. Karniadakis

The Interaction of a Shock and a Strong Vortex: Shock and Vortex Deformation and Vorticity and Sound Generation

S. Zhang, Y.-T. Zhang, and C.-W. Shu

A New Method to Impose No-Slip Boundary Conditions in Dissipative Particle Dynamics

I.V. Pivkin and G.E. Karniadakis

Equation-free/Galerkin-free POD-Assisted Computation of Incompressible Flows

S. Sirisup, D. Xiu, G.E. Karniadakis, and I.G. Kevrekidis