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

Authors:
D. Funaro and D. Gottlieb

Journal:
Math. Comp. **51** (1988), 599-613

MSC:
Primary 65N35

DOI:
https://doi.org/10.1090/S0025-5718-1988-0958637-X

MathSciNet review:
958637

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1988-0958637-X

Keywords:
Spectral approximations,
hyperbolic equations

Article copyright:
© Copyright 1988
American Mathematical Society