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Publications in Numerical Analysis

High-Order Time-Stable Numerical Boundary Scheme for the Temporally Dependent Maxwell Equations in Two Dimensions

Journal of Computational Physics
Numerical AnalysisApplied MathematicsSimulationComputer Science ApplicationsModelingComputational MathematicsAstronomyPhysics
2002English

Variational Mesh Adaptation: Isotropy and Equidistribution

Journal of Computational Physics
Numerical AnalysisApplied MathematicsSimulationComputer Science ApplicationsModelingComputational MathematicsAstronomyPhysics
2001English

Fast Fourier Transforms for Direct Solution of Poisson's Equation With Staggered Boundary Conditions

Journal of Computational Physics
Numerical AnalysisApplied MathematicsSimulationComputer Science ApplicationsModelingComputational MathematicsAstronomyPhysics
1988English

Minimization of the Truncation Error by Grid Adaptation

Journal of Computational Physics
Numerical AnalysisApplied MathematicsSimulationComputer Science ApplicationsModelingComputational MathematicsAstronomyPhysics
2001English

A Cartesian Grid Embedded Boundary Method for the Heat Equation on Irregular Domains

Journal of Computational Physics
Numerical AnalysisApplied MathematicsSimulationComputer Science ApplicationsModelingComputational MathematicsAstronomyPhysics
2001English

An Adaptively Refined Cartesian Mesh Solver for the Euler Equations

Journal of Computational Physics
Numerical AnalysisApplied MathematicsSimulationComputer Science ApplicationsModelingComputational MathematicsAstronomyPhysics
1993English

Spectral/Hp Methods for Viscous Compressible Flows on Unstructured 2D Meshes

Journal of Computational Physics
Numerical AnalysisApplied MathematicsSimulationComputer Science ApplicationsModelingComputational MathematicsAstronomyPhysics
1998English

High Resolution Schemes for Hyperbolic Conservation Laws

Journal of Computational Physics
Numerical AnalysisApplied MathematicsSimulationComputer Science ApplicationsModelingComputational MathematicsAstronomyPhysics
1997English

Computing Nearly Singular Solutions Using Pseudo-Spectral Methods

Journal of Computational Physics
Numerical AnalysisApplied MathematicsSimulationComputer Science ApplicationsModelingComputational MathematicsAstronomyPhysics
2007English

A Sign Matrix Based Scheme for Non-Homogeneous PDE’s With an Analysis of the Convergence Stagnation Phenomenon

Journal of Computational Physics
Numerical AnalysisApplied MathematicsSimulationComputer Science ApplicationsModelingComputational MathematicsAstronomyPhysics
2007English

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