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

    Geographic location of the organization Universidad Pública de Navarra
  2. 2 Universidad de La Rioja
    info
    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

    Geographic location of the organization Universidad de La Rioja
Journal:
Applied Numerical Mathematics

ISSN: 0168-9274

Year of publication: 2001

Volume: 38

Issue: 1-2

Pages: 69-86

Type: Article

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

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Abstract

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.