Remark on the convergence of the midpoint method under mild differentiability conditions.

  1. Ezquerro, J.A. 1
  2. Hernández, M.A. 1
  3. Salanova, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Journal of Computational and Applied Mathematics

ISSN: 0377-0427

Año de publicación: 1998

Volumen: 98

Número: 2

Páginas: 305-309

Tipo: Artículo

Otras publicaciones en: Journal of Computational and Applied Mathematics

Repositorio institucional: lock_openAcceso abierto Editor

Resumen

We establish a convergence theorem for the Midpoint method using a new system of recurrence relations. The purpose of this note is to relax its convergence conditions. We also give an example where our convergence theorem can be applied but other ones cannot. © 1998 Elsevier Science B.V. All rights reserved.