| Issue |
ESAIM: M2AN
Volume 41, Number 1, January-February 2007
|
|
|---|---|---|
| Page(s) | 95 - 110 | |
| DOI | https://doi.org/10.1051/m2an:2007010 | |
| Published online | 26 April 2007 | |
On the rate of convergence of a collocation projection of the KdV equation
1
Department of Mathematics, University of Bergen, 5008 Bergen, Norway. henrik.kalisch@mi.uib.no
2
Department of Mathematics, NTNU, 7491 Trondheim, Norway. raynaud@math.ntnu.no
Received:
31
March
2006
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
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