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

✍ Scribed by L. Jódar; J.L. Morera; G. Rubio

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 914 KB
• Volume: 39
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(00)00130-9

✦ Synopsis

This paper deals with the achievement of explicit computable bounds for the global discretization error of variable stepsize multistep methods which are perturbation of strongly stable fixed stepsize methods. The approach is based on the study of the growth of solutions of certain variable coefficient difference equations satisfied by the global discretization error.