Backward difference formulae: New multipliers and stability properties for parabolic equations
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- by Georgios Akrivis and Emmanuil Katsoprinakis;
- Math. Comp. 85 (2016), 2195-2216
- DOI: https://doi.org/10.1090/mcom3055
- Published electronically: December 1, 2015
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Abstract:
We determine new, more favorable, and in a sense optimal, multipliers for the three- and five-step backward difference formula (BDF) methods. We apply the new multipliers to establish stability of these methods as well as of their implicit–explicit counterparts for parabolic equations by energy techniques, under milder conditions than the ones recently imposed in [1, 4].References
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Bibliographic Information
- Georgios Akrivis
- Affiliation: Department of Computer Science & Engineering, University of Ioannina, 451$\,$10 Ioannina, Greece
- MR Author ID: 24080
- Email: akrivis@cs.uoi.gr
- Emmanuil Katsoprinakis
- Affiliation: Department of Mathematics and Applied Mathematics, University of Crete, 710$\,$03 Heraklion, Crete, Greece
- Email: katsopr@uoc.gr
- Received by editor(s): July 30, 2014
- Received by editor(s) in revised form: February 25, 2015, and March 12, 2015
- Published electronically: December 1, 2015
- Additional Notes: The work of the first author was partially supported by GSRT-ESET “Excellence” grant 1456.
- © Copyright 2015
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 85 (2016), 2195-2216
- MSC (2010): Primary 65M12, 65M60; Secondary 65L06
- DOI: https://doi.org/10.1090/mcom3055
- MathSciNet review: 3511279