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Implicit-explicit multistep methods for quasilinear parabolic equations |
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| Authors: | Georgios Akrivis Michel Crouzeix Charalambos Makridakis |
| Affiliation: | (1) Computer Science Department, University of Ioannina, GR-451 10 Ioannina, Greece; e-mail: akrivis@cs.uoi.gr , GR;(2) IRMAR, Université de Rennes I, Campus de Beaulieu, F-35042 Rennes, France; e-mail: michel.crouzeix@univ-rennes1.fr , FR;(3) Department of Mathematics, University of Crete, GR-714 09 Heraklion, Greece; e-mail: makr@math.uch.gr , GR;(4) IACM, Foundation of Research and Technology-Hellas, GR-711 00 Heraklion, Greece , GR |
| Abstract: | 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. Received March 10, 1997 / Revised version received March 2, 1998 |
| Keywords: | Mathematics Subject Classification (1991):65M60 65M12 65L06 |
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