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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.
@article{M2AN_2007__41_1_95_0,
author = {Kalisch, Henrik and Raynaud, Xavier},
title = {On the rate of convergence of a collocation projection of the {KdV} equation},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {95--110},
publisher = {EDP-Sciences},
volume = {41},
number = {1},
year = {2007},
doi = {10.1051/m2an:2007010},
mrnumber = {2323692},
zbl = {1129.65060},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2007010/}
}
TY - JOUR AU - Kalisch, Henrik AU - Raynaud, Xavier TI - On the rate of convergence of a collocation projection of the KdV equation JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2007 SP - 95 EP - 110 VL - 41 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2007010/ DO - 10.1051/m2an:2007010 LA - en ID - M2AN_2007__41_1_95_0 ER -
%0 Journal Article %A Kalisch, Henrik %A Raynaud, Xavier %T On the rate of convergence of a collocation projection of the KdV equation %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2007 %P 95-110 %V 41 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2007010/ %R 10.1051/m2an:2007010 %G en %F M2AN_2007__41_1_95_0
Kalisch, Henrik; Raynaud, Xavier. On the rate of convergence of a collocation projection of the KdV equation. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 41 (2007) no. 1, pp. 95-110. doi: 10.1051/m2an:2007010
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