The errors in calculating the pseudospectral differentiation matrices for Cebysev-Gauss-Lobatto points

Citation
R. Baltensperger et Jp. Berrut, The errors in calculating the pseudospectral differentiation matrices for Cebysev-Gauss-Lobatto points, COMPUT MATH, 37(1), 1999, pp. 41-48
Citations number
12
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
37
Issue
1
Year of publication
1999
Pages
41 - 48
Database
ISI
SICI code
0898-1221(199901)37:1<41:TEICTP>2.0.ZU;2-N
Abstract
We discuss here the errors incurred using the standard formula for calculat ing the pseudospectral differentiation matrices for Cebysev-Gauss-Lobatto p oints. We propose explanations for these errors and suggest more precise me thods for calculating the derivatives and their matrices. (C) 1998 Elsevier Science Ltd. All rights reserved.