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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations
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by Georgios Akrivis, Buyang Li and Christian Lubich PDF
Math. Comp. 86 (2017), 1527-1552 Request permission

Abstract:

We analyze fully implicit and linearly implicit backward difference formula (BDF) methods for quasilinear parabolic equations, without making any assumptions on the growth or decay of the coefficient functions. We combine maximal parabolic regularity and energy estimates to derive optimal-order error bounds for the time-discrete approximation to the solution and its gradient in the maximum norm and energy norm.
References
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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@cse.uoi.gr
  • Buyang Li
  • Affiliation: Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Hong Kong
  • MR Author ID: 910552
  • Email: buyang.li@polyu.edu.hk
  • Christian Lubich
  • Affiliation: Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle, D-72076 Tübingen, Germany
  • MR Author ID: 116445
  • Email: lubich@na.uni-tuebingen.de
  • Received by editor(s): January 26, 2016
  • Published electronically: January 9, 2017
  • © Copyright 2017 American Mathematical Society
  • Journal: Math. Comp. 86 (2017), 1527-1552
  • MSC (2010): Primary 65M12, 65M15; Secondary 65L06
  • DOI: https://doi.org/10.1090/mcom/3228
  • MathSciNet review: 3626527