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Implicit-explicit multistep methods for quasilinear parabolic equations

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Summary.

Efficient combinations of implicit and explicit multistep methods for nonlinear parabolic equations were recently studied in [1]. In this note we present a refined analysis to allow more general nonlinearities. The abstract theory is applied to a quasilinear parabolic equation.

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Authors and Affiliations

  1. Computer Science Department, University of Ioannina, GR-451 10 Ioannina, Greece; e-mail: akrivis@cs.uoi.gr , , , , , , GR

    Georgios Akrivis

  2. IRMAR, Université de Rennes I, Campus de Beaulieu, F-35042 Rennes, France; e-mail: michel.crouzeix@univ-rennes1.fr , , , , , , FR

    Michel Crouzeix

  3. Department of Mathematics, University of Crete, GR-714 09 Heraklion, Greece; e-mail: makr@math.uch.gr , , , , , , GR

    Charalambos Makridakis

Authors
  1. Georgios Akrivis
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  2. Michel Crouzeix
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  3. Charalambos Makridakis
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Received March 10, 1997 / Revised version received March 2, 1998

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Akrivis, G., Crouzeix, M. & Makridakis, C. Implicit-explicit multistep methods for quasilinear parabolic equations. Numer. Math. 82, 521–541 (1999). https://doi.org/10.1007/s002110050429

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  • DOI: https://doi.org/10.1007/s002110050429

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