Hermite pseudospectral method for nonlinear partial differential equations
Department of Mathematics,
Shanghai Normal University, Shanghai 200234, P.R. China. (firstname.lastname@example.org)
2 Department of Mathematics, Shanghai University, Shanghai 201800, P.R. China.
Revised: 29 February 2000
Hermite polynomial interpolation is investigated. Some approximation results are obtained. As an example, the Burgers equation on the whole line is considered. The stability and the convergence of proposed Hermite pseudospectral scheme are proved strictly. Numerical results are presented.
Mathematics Subject Classification: 65M70 / 65N30 / 76D99
Key words: Hermite pseudospectral approximation / nonlinear partial differential equations.
© EDP Sciences, SMAI, 2000