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
1987-01-01
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.File in questo prodotto:
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