A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations
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- by D. Funaro and D. Gottlieb PDF
- Math. Comp. 51 (1988), 599-613 Request permission
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.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Math. Comp. 51 (1988), 599-613
- MSC: Primary 65N35
- DOI: https://doi.org/10.1090/S0025-5718-1988-0958637-X
- MathSciNet review: 958637