Fractional Step Runge-Kutta methods for time dependent coefficient parabolic problems

  1. Bujanda, B. 2
  2. Jorge, J.C. 1
  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

Journal:
Applied Numerical Mathematics

ISSN: 0168-9274

Year of publication: 2003

Volume: 45

Issue: 2

Pages: 99-122

Type: Article

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DOI: 10.1016/S0168-9274(02)00191-5 SCOPUS: 2-s2.0-0037401926 WoS: WOS:000182168700001 GOOGLE SCHOLAR

More publications in: Applied Numerical Mathematics

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Abstract

A class of efficient and robust methods which includes the classical spitting methods, alternating direction schemes and fractional step Runge-Kutta methods used to discretize efficiently some linear parabolic problems is studied. The coefficients of these parabolic problems depend on time. Such analysis was performed by suitably decomposing the contribution to the global error of this time integration procedure and the contribution of some standard spatial discretization methods.