Asymptotic behavior of solutions to the finite-difference wave equation-Reference-Cited by-同舟云学术

Asymptotic behavior of solutions to the finite-difference wave equation

Published:1969 Issue:108 Volume:23 Page:711-715
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Pearson Carl E.

Abstract

A stable finite-difference scheme for the wave equation may possess features not shared by the underlying partial differential equation. These discrepancies are explored; in particular, an asymptotic estimate for the magnitude of precursor effects is obtained.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1969-23-108/S0025-5718-1969-0264862-4/S0025-5718-1969-0264862-4.pdf

Reference5 articles.

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2. National Bureau of Standards Applied Mathematics Series, No. 55;Abramowitz, Milton,1964

3. Stability theory for difference approximations of mixed initial boundary value problems. I;Kreiss, Heinz-Otto;Math. Comp.,1968

4. On difference schemes for hyperbolic equations with discontinuous initial values;Apelkrans, Mats Y. T.;Math. Comp.,1968

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2. REFERENCES;Partial Differential Equations;1976

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