Filtering in Legendre Spectral Methods

J.S. Hesthaven and R.M. Kirby

Uncertainly Analysis For Steady-State Inviscid Burgers' Equation

Q.Y. Chen, D. Gottlieb, and J.S. Hesthaven

Spectral Methods for Compressible Reactive Flows

D. Gottlieb and S. Gottlieb

Hermite WENO Schemes and Their Application As Limiters For Runge-Kutta Discontinuous Galerkin Method II: Two Dimensional Case

J. Qiu and C.-W. Shu

Reinterpretation and Simplified Implementation of a Discontinuous Galerkin Method for Hamilton-Jacobi Equations

F. Li and C.-W. Shu

A Spectral Multidomain Penalty Method Model For the Simulation of High Reynolds Number Localized Incompressible Stratified Turbulence

P.J. Diasmessis, J.A. Domaradzki, and J.S. Hesthaven

On the Computation of High-Order Pseudospectral Derivatives

B. Costa and W.S. Don

Spectral Convergence of Mapped Chebyshev Methods

B. Costa, W.S. Don, and A. Simas

Numerical Simulations of High Mach Number Astrophysical Jets With Radiative Cooling

Y. Ha, C.L. Gardner, A. Gelb, and C.-W. Shu

Local Divergence-Free Discontinuous Galerkin Methods for MHD Equations

F. Li and C.-W. Shu

Local Discontinuous Galerkin Methods for Nonlinear Dispersive Equations

D. Levy, C.-W. Shu, and J. Yan

Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs

Q.Y. Chen, D. Gottlieb, and J.S. Hesthaven

Simulation of Complex Viscoelastic Flows Using Fokker-Planck Equation: 3D FENE Model

C. Chauviere and A. Lozinski

Locally Divergence-Free Galerkin Methods for the Maxwell Equations

B. Cockburn, F. Li, and C.-W. Shu

Fourier-Pade Approximations and Filtering for the Spectral Simulations of Incompressible Boussinesq Convection Problem

M.S. Min, S.M Kaber, and W.S. Don

Hermite WENO Schemes and Their Application as Limiters for Runge-Kutta Discontinuous Galerkin Method: One Dimensional Case

J. Qiu and C.-W. Shu

Fast and Accurate Boundary Variation Method for Multi-Layered Diffractive Optics

L.C. Wilcox, P.G. Dinesen, and J.S. Hesthaven

High Order Nodal Discontinuous Galerkin Methods for the Maxwell Eigenvalue Problem

J.S. Hesthaven and T. Warburton

An Analysis Of and a Comparison Between the Discontinuous Galerkin and the Spectral Finite Volume Methods

M. Zhang and C.-W. Shu

On a One-Sided Post-Processing Technique for the Discontinuous Galerkin Methods

J. Ryan and C.-W. Shu

Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters

J. Qiu and C.-W. Shu

The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations

D. Xiu and G.E. Karniadakis

Modeling Uncertainty in Flow Simulations Via Generalized Polynomial Chaos

D. Xiu and G.E. Karniadakis

Modeling Uncertainty in Steady-State Diffusion Problems Via Generalized Polynomial Chaos

D. Xiu and G.E. Karniadakis

Domain Decomposition Spectral Approximations for an Eigenvalue Problem with a Piecewise Constant Coefficient

M.S. Min and D. Gottlieb

Extension of a Post-Porcessing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Applications to an Aeroacoustic Problem

J. Ryan, C.-W. Shu, and H. Atkins

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

W.S. Don, D. Gottlieb, C.-W. Shu, O. Shilling, L. Jameson

A Fast Solver for Fokker-Planck Equation Applied to Viscoelastic Flow Calculations

A. Lozinski and C. Chauviere