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Mathematics of Computation

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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
MathSciNet review: 958637
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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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Keywords: Spectral approximations, hyperbolic equations
Article copyright: © Copyright 1988 American Mathematical Society