Additive Runge-Kutta methods for the resolution of linear parabolic problems

  1. Bujanda, B. 1
  2. Jorge, J.C. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad Pública de Navarra
    info

    Universidad Pública de Navarra

    Pamplona, España

    ROR https://ror.org/02z0cah89

Revista:
Journal of Computational and Applied Mathematics

ISSN: 0377-0427

Año de publicación: 2002

Volumen: 140

Número: 1-2

Páginas: 99-117

Tipo: Artículo

DOI: 10.1016/S0377-0427(01)00475-7 SCOPUS: 2-s2.0-0036503294 WoS: WOS:000174733100008 GOOGLE SCHOLAR

Otras publicaciones en: Journal of Computational and Applied Mathematics

Repositorio institucional: lock_openAcceso abierto Editor

Resumen

We study the consistency for general additive Runge-Kutta methods in the integration of linear nonhomogeneous problems, obtaining necessary and sufficient conditions of order p, for arbitary values of p. We use this result joined to some A-stability conditions for developing a third order additive Runge-Kutta method of type fractional steps and we show its efficiency in the numerical integration of a two-dimensional evolutionary convection-diffusion problem. © 2002 Elsevier Science B.V. All rights reserved.