Fourier spectral methods of Galerkin and collocation type for quasilinear pseudo-parabolic equations are presented. Convergence with spectral accuracy is proved for both Galerkin and collocation approximations. Unconditionally stable discretization in time by explicit one-step methods is analyzed. Fast transform methods to compute the nonlinear terms are proposed.

FOURIER SPECTRAL METHODS FOR PSEUDO-PARABOLIC EQUATIONS

QUARTERONI, ALFIO MARIA
1987

Abstract

Fourier spectral methods of Galerkin and collocation type for quasilinear pseudo-parabolic equations are presented. Convergence with spectral accuracy is proved for both Galerkin and collocation approximations. Unconditionally stable discretization in time by explicit one-step methods is analyzed. Fast transform methods to compute the nonlinear terms are proposed.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/669760
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