Convergence of an energy-preserving scheme for the Zakharov equations in one space dimension-Reference-Cited by-同舟云学术

Convergence of an energy-preserving scheme for the Zakharov equations in one space dimension

Published:1992 Issue:197 Volume:58 Page:83-102
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Glassey R. T.

Abstract

An energy-preserving, linearly implicit finite difference scheme is presented for approximating solutions to the periodic Cauchy problem for the one-dimensional Zakharov system of two nonlinear partial differential equations. First-order convergence estimates are obtained in a standard "energy" norm in terms of the initial errors and the usual discretization errors.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1992-58-197/S0025-5718-1992-1106968-6/S0025-5718-1992-1106968-6.pdf

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