Order of convergence of evolution operator method


Ergenc T., Hascelik A.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.70, sa.2, ss.279-288, 1998 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 70 Konu: 2
  • Basım Tarihi: 1998
  • Doi Numarası: 10.1080/00207169808804752
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Sayfa Sayıları: ss.279-288

Özet

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.