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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Backward difference formulae: New multipliers and stability properties for parabolic equations
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by Georgios Akrivis and Emmanuil Katsoprinakis PDF
Math. Comp. 85 (2016), 2195-2216 Request permission

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].
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Additional 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