Brown Shield

Scientific Computing Group Reports -- 2003

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Title/Author(s)
ID Length Download

Filtering in Legendre Spectral Methods

by J.S. Hesthaven and R.M. Kirby on 2003-01-01

2003-28 30 pp.
pdf (1.1 MB)
ps.gz (972.5 KB)

Uncertainly Analysis For Steady-State Inviscid Burgers' Equation

by Q.Y. Chen, D. Gottlieb, and J.S. Hesthaven on 2003-01-01

2003-27 29 pp.
pdf (677.7 KB)
ps.gz (195.9 KB)

Spectral Methods for Compressible Reactive Flows

by D. Gottlieb and S. Gottlieb on 2003-01-01

2003-26 16 pp.
pdf (12.7 MB)
ps.gz (11.6 MB)

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

by J. Qiu and C.-W. Shu on 2003-01-01

2003-25 29 pp.
pdf (1.8 MB)
ps.gz (1.3 MB)

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

by F. Li and C.-W. Shu on 2003-01-01

2003-24 9 pp.
pdf (922.5 KB)
ps.gz (279.5 KB)

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

by P.J. Diasmessis, J.A. Domaradzki, and J.S. Hesthaven on 2003-01-01

2003-23 38 pp.
pdf (2.9 MB)
ps.gz (2.7 MB)

On the Computation of High-Order Pseudospectral Derivatives

by B. Costa and W.S. Don on 2003-01-01

2003-22 12 pp.
pdf (218.4 KB)
ps.gz (73.7 KB)

Spectral Convergence of Mapped Chebyshev Methods

by B. Costa, W.S. Don, and A. Simas on 2003-01-01

2003-21 14 pp.
pdf (284.8 KB)
ps.gz (106.7 KB)

Numerical Simulations of High Mach Number Astrophysical Jets With Radiative Cooling

by Y. Ha, C.L. Gardner, A. Gelb, and C.-W. Shu on 2003-01-01

2003-20 17 pp.
pdf (1.5 MB)
ps.gz (2.1 MB)

Local Divergence-Free Discontinuous Galerkin Methods for MHD Equations

by F. Li and C.-W. Shu on 2003-01-01

2003-19 33 pp.
pdf (2.6 MB)
ps.gz (2.5 MB)

Local Discontinuous Galerkin Methods for Nonlinear Dispersive Equations

by D. Levy, C.-W. Shu, and J. Yan on 2003-01-01

2003-18 25 pp.
pdf (353.4 KB)
ps.gz (136.4 KB)

Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs

by Q.Y. Chen, D. Gottlieb, and J.S. Hesthaven on 2003-01-01

2003-17 31 pp.
pdf (423.7 KB)
ps.gz (161.5 KB)

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

by C. Chauviere and A. Lozinski on 2003-01-01

2003-16 20 pp.
pdf (400.6 KB)
ps.gz (411.2 KB)

Locally Divergence-Free Galerkin Methods for the Maxwell Equations

by B. Cockburn, F. Li, and C.-W. Shu on 2003-01-01

2003-15 36 pp.
pdf (471.7 KB)
ps.gz (261.9 KB)

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

by M.S. Min, S.M Kaber, and W.S. Don on 2003-01-01

2003-14 16 pp.
pdf (384.1 KB)
ps.gz (160.1 KB)

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

by J. Qiu and C.-W. Shu on 2003-01-01

2003-13 31 pp.
pdf (752.8 KB)
ps.gz (341.5 KB)

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

by L.C. Wilcox, P.G. Dinesen, and J.S. Hesthaven on 2003-01-01

2003-12 39 pp.
pdf (278.4 KB)
ps.gz (449.4 KB)

High Order Nodal Discontinuous Galerkin Methods for the Maxwell Eigenvalue Problem

by J.S. Hesthaven and T. Warburton on 2003-01-01

2003-11 31 pp.
pdf (1.2 MB)
ps.gz (782.9 KB)

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

by M. Zhang and C.-W. Shu on 2003-01-01

2003-10 18 pp.
pdf (205.0 KB)
ps.gz (73.3 KB)

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

by J. Ryan and C.-W. Shu on 2003-01-01

2003-9 19 pp.
pdf (503.8 KB)
ps.gz (369.3 KB)

Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters

by J. Qiu and C.-W. Shu on 2003-01-01

2003-8 36 pp.
pdf (3.2 MB)
ps.gz (2.1 MB)

The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations

by D. Xiu and G.E. Karniadakis on 2003-01-01

2003-7 26 pp.
pdf (445.0 KB)
ps.gz (559.9 KB)

Modeling Uncertainty in Flow Simulations Via Generalized Polynomial Chaos

by D. Xiu and G.E. Karniadakis on 2003-01-01

2003-6 37 pp.
pdf (965.8 KB)
ps.gz (1.1 MB)

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

by D. Xiu and G.E. Karniadakis on 2003-01-01

2003-5 27 pp.
pdf (312.3 KB)
ps.gz (409.2 KB)

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

by M.S. Min and D. Gottlieb on 2003-01-01

2003-4 18 pp.
pdf (361.0 KB)
ps.gz (107.0 KB)

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

by J. Ryan, C.-W. Shu, and H. Atkins on 2003-01-01

2003-3 36 pp.
pdf (727.8 KB)
ps.gz (1.5 MB)

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

by W.S. Don, D. Gottlieb, C.-W. Shu, O. Shilling, L. Jameson on 2003-01-01

2003-2 31 pp.
pdf (1.8 MB)
ps.gz (4.1 MB)

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

by A. Lozinski and C. Chauviere on 2003-01-01

2003-1 23 pp.
pdf (357.9 KB)
ps.gz (298.2 KB)