Stable, high-order discretization for evolution of the wave equation in 1 + 1 dimensions

Authors:
John Visher;Stephen Wandzura;Amanda White
Affiliations:
HRL Laboratories, LLC, 3011 Malibu Canyon Road, Malibu, CA;HRL Laboratories, LLC, 3011 Malibu Canyon Road, Malibu, CA;Pacific Northwest National Laboratory, P.O. Box 999, MS K5-12 Richland, WA
Venue:
Journal of Computational Physics
Year:
2004

Citing 3
Cited 2

Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation

SIAM Journal on Numerical Analysis
An integral evolution formula for the wave equation

Journal of Computational Physics
Computer Solution of Large Sparse Positive Definite

Computer Solution of Large Sparse Positive Definite

High order marching schemes for the wave equation in complex geometry

Journal of Computational Physics
Stable, high-order discretization for evolution of the wave equation in 2 + 1 dimensions

Journal of Computational Physics

Quantified Score

Hi-index	31.46

Visualization

Abstract

We carry forward the approach of Alpert, Greengard, and Hagstrom to construct stable high-order explicit discretizations for the wave equation in one space and one time dimension. They presented their scheme as an integral form of the Lax-Wendroff method. Our perspective is somewhat different from theirs; our focus is on the discretization of the evolution formula rather than on its form (integral, differential, etc.). A key feature of our approach is the independent computation of three discretizations, one for bulk (away from boundaries) propagation, one for propagation near boundaries, and a projection operator to enforce boundary conditions. This is done in a way that is straightforward to extend to more space dimensions.