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Rapid convergence of a Galerkin projection of the KdV equation. (English) Zbl 1081.65539
Summary: It is shown that a Fourier-Galerkin approximation of the Korteweg-de Vries equation with periodic boundary conditions converges exponentially fast if the initial data can be continued analytically to a strip about the real axis.

MSC:
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
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