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On the rate of convergence of a collocation projection of the KdV equation

Published online by Cambridge University Press:  26 April 2007

Henrik Kalisch  and
Xavier Raynaud
Henrik Kalisch
Affiliation:
Department of Mathematics, University of Bergen, 5008 Bergen, Norway. henrik.kalisch@mi.uib.no
Xavier Raynaud
Affiliation:
Department of Mathematics, NTNU, 7491 Trondheim, Norway. raynaud@math.ntnu.no
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Abstract

Based on estimates for the KdV equation in analytic Gevrey classes, a spectral collocation approximation of the KdV equation is proved to converge exponentially fast.

Keywords

Spectral methodsconvergence ratecollocation projectionanalytic Gevrey class.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 41 , Issue 1 , January 2007 , pp. 95 - 110
Copyright
© EDP Sciences, SMAI, 2007

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