Computable explicit bounds for the discretization error of variable stepsize multistep methods

Authors
Jodar, L Morera, JL Rubio, G
Citation
L. Jodar et al., Computable explicit bounds for the discretization error of variable stepsize multistep methods, COMPUT MATH, 39(12), 2000, pp. 63-77
Citations number
16
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
39
Issue
12
Year of publication
2000
Pages
63 - 77
Database
ISI
SICI code
0898-1221(200006)39:12<63:CEBFTD>2.0.ZU;2-9
Abstract
This paper deals with the achievement of explicit computable bounds for the global discretization error of variable stepsize multistep methods which a re perturbation of strongly stable fixed stepsize methods. The approach is based on the study of the growth of solutions of certain variable coefficie nt difference equations satisfied by the global discretization error. (C) 2 000 Elsevier Science Ltd. All rights reserved.