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Some practical experience with the time integration of dissipative equations. (English) Zbl 0854.65078
The author presents numerical results on the integration of the Kuramoto-Sivashinsky equation. The discretizations in two-space dimensions are realized by the standard Galerkin method and nonlinear Galerkin methods. Three different integrators are tested and the results are compared.

MSC:
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
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