Convergence of Galerkin approximations for the Korteweg-de Vries equation

Standard Galerkin approximations, using smooth splines on a uniform mesh, to 1-periodic solutions of the Korteweg-de Vries equation are analyzed. Optimal rate of convergence estimates are obtained for both semidiscrete and second order in time fully discrete schemes. At each time level, the resultin...

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Veröffentlicht in:	Mathematics of computation 1983-04, Vol.40 (162), p.419-433
Hauptverfasser:	Baker, Garth A., Dougalis, Vassilios A., Karakashian, Ohannes A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Galerkin methods Integers Mathematical functions Newton approximation methods Nonlinear equations Perceptron convergence procedure Periodicity Uniqueness
Online-Zugang:	Volltext
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