Citation
By. Guo et Cl. Xu, Hermite pseudospectral method for nonlinear partial differential equations, ESAIM-M MOD, 34(4), 2000, pp. 859-872
Citations number
17
Categorie Soggetti
Mathematics
Journal title
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X
→ ACNP
Volume
34
Issue
4
Year of publication
2000
Pages
859 - 872
Database
ISI
SICI code
0764-583X(200007/08)34:4<859:HPMFNP>2.0.ZU;2-9
Abstract
Hermite polynomial interpolation is investigated. Some approximation result
s are obtained. As an example, the Burgers equation on the whole line is co
nsidered. The stability and the convergence of proposed Hermite pseudospect
ral scheme are proved strictly. Numerical results are presented.