Abstract.We present in this paper some new preconditioning methods in spectral collocation derivative approach to solve linear partial differential equations. Also, additional preconditioning schemes to reduce roundoff errors in computing derivatives using matrix vector multiplication method are introduced. Numerical results over some problems indicate the superiority of the new methods.

Received: May 10, 2004

AMS Subject Classification: 65N55, 65M70

Key Words and Phrases: pseudospectral, matrix vector multiplication, preconditioning

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 15
Issue: 4