Order of convergence of evolution operator method


Ergenc T., Hascelik A.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol.70, no.2, pp.279-288, 1998 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 70 Issue: 2
  • Publication Date: 1998
  • Doi Number: 10.1080/00207169808804752
  • Title of Journal : INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Page Numbers: pp.279-288

Abstract

In this paper the order of convergence of the evolution operator method used to solve a nonlinear autonomous system in ODE's [2] is investigated. The order is found, to be 2N+1 where N comes from the [N+1,N] Pade' approximation used in the method. The order is independent of the choice of the weight function.