no. 1
On the rate of convergence of a collocation projection of the KdV equation
ESAIM: Modélisation mathématique et analyse numérique, Tome 41 (2007) no. 1, pp. 95-110.

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.

DOI : 10.1051/m2an:2007010
Classification : 35Q53, 65M12, 65M70
Mots clés : spectral methods, convergence rate, collocation projection, analytic Gevrey class 
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Kalisch, Henrik; Raynaud, Xavier. On the rate of convergence of a collocation projection of the KdV equation. ESAIM: Modélisation mathématique et analyse numérique, Tome 41 (2007) no. 1, pp. 95-110. doi : 10.1051/m2an:2007010. http://www.numdam.org/articles/10.1051/m2an:2007010/

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