A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations-Reference-Cited by-同舟云学术

A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations

Published:1988 Issue:184 Volume:51 Page:599-613
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Funaro D.,Gottlieb D.

Abstract

A new method to impose boundary conditions for pseudospectral approximations to hyperbolic equations is suggested. This method involves the collocation of the equation at the boundary nodes as well as satisfying boundary conditions. Stability and convergence results are proven for the Chebyshev approximation of linear scalar hyperbolic equations. The eigenvalues of this method applied to parabolic equations are shown to be real and negative.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1988-51-184/S0025-5718-1988-0958637-X/S0025-5718-1988-0958637-X.pdf

Reference10 articles.

1. Error estimates for spectral and pseudospectral approximations of hyperbolic equations;Canuto, C.;SIAM J. Numer. Anal.,1982

2. Some results about the spectrum of the Chebyshev differencing operator;Funaro, Daniele,1987

3. A preconditioning matrix for the Chebyshev differencing operator;Funaro, Daniele;SIAM J. Numer. Anal.,1987

4. Domain decomposition methods for pseudospectral approximations. I. Second order equations in one dimension;Funaro, Daniele;Numer. Math.,1988

5. F. R. Gantmacher, The Theory of Matrices, Chelsea, New York, 1974.

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