Geodesic
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

Voir la notice de l'article provenant de la source Numdam

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
Keywords: spectral methods, convergence rate, collocation projection, analytic Gevrey class 
@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

Cité par Sources :