Stability results for fractional step discretizations of time dependent coefficient evolutionary problems

  1. Bujanda, B. 2
  2. Jorge, J.C. 12
  1. 1 Universidad Pública de Navarra
    info

    Universidad Pública de Navarra

    Pamplona, España

    ROR https://ror.org/02z0cah89

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Zeitschrift:
Applied Numerical Mathematics

ISSN: 0168-9274

Datum der Publikation: 2001

Ausgabe: 38

Nummer: 1-2

Seiten: 69-86

Art: Artikel

DOI: 10.1016/S0168-9274(00)00063-5 SCOPUS: 2-s2.0-0035400322 WoS: WOS:000169273600004 GOOGLE SCHOLAR

Andere Publikationen in: Applied Numerical Mathematics

Institutionelles Repository: lock_openOpen Access Editor

Zusammenfassung

We consider a class of additive Runge-Kutta methods, which include most of the classical alternating direction or fractionary step methods, for discretizing the time variable in an evolutionary problem whose coefficients depend on time. Some stability results are proven for these methods which, together with suitable consistency properties, permit us to show the convergence of these discretizations. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.