High-precision numerical solution of ODE with high-order Taylor methods in parallel

  1. Barrio Gil, Roberto
  2. Blesa, Fernando
  3. Lara Coira, Martín
Journal:
Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

ISSN: 1132-6360

Year of publication: 2003

Issue: 22

Pages: 67-74

Type: Article

More publications in: Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

Abstract

In this paper we study a variable order formulation of the Taylor method for the numerical solution of ODE when a very high precision of the solution is required. Finally, simulations on a parallel computer Sun UltraSPARC-II with 4 processors are shown.