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 Pseudospectral Method for the Damped Boussinesq Equation Commun. Korean Math. Soc. 1998 Vol. 13, No. 4, 889-901 S. M. Choo Seoul National University Abstract : Numerical approximations by pseudospectral method are obtained for the damped Boussinesq equation which is a modification of the good Boussinesq equation. The consistency and stability of the method are obtained using the extended Lax-Richtmyer equivalence theorem, which imply the convergence of the method. We obtain error estimates of $O(h^s+k^2)$ for a fully discrete pseudospectral method. Keywords : damped Boussinesq equation, pseudospectral method, stability, consistency, extended Lax-Richtmyer equivalence theorem MSC numbers : 65N12, 65N35 Downloads: Full-text PDF