On the rate of convergence of a collocation projection of the KdV equation
Department of Mathematics, University of Bergen, 5008 Bergen, Norway. firstname.lastname@example.org
2 Department of Mathematics, NTNU, 7491 Trondheim, Norway. email@example.com
Revised: 11 July 2006
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.
Mathematics Subject Classification: 35Q53 / 65M12 / 65M70
Key words: Spectral methods / convergence rate / collocation projection / analytic Gevrey class.
© EDP Sciences, SMAI, 2007