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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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.


Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
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by Natalia Kopteva HTML | PDF
Math. Comp. 88 (2019), 2135-2155 Request permission


An initial-boundary value problem with a Caputo time derivative of fractional order $\alpha \in (0,1)$ is considered, solutions of which typically exhibit a singular behaviour at an initial time. For this problem, we give a simple framework for the analysis of the error of L1-type discretizations on graded and uniform temporal meshes in the $L_\infty$ and $L_2$ norms. This framework is employed in the analysis of both finite difference and finite element spatial discretiztions. Our theoretical findings are illustrated by numerical experiments.
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Additional Information
  • Natalia Kopteva
  • Affiliation: Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland
  • MR Author ID: 610720
  • ORCID: 0000-0001-7477-6926
  • Email:
  • Received by editor(s): September 23, 2017
  • Received by editor(s) in revised form: September 25, 2017, October 18, 2017, May 19, 2018, and October 16, 2018
  • Published electronically: January 23, 2019
  • Additional Notes: The author acknowledges financial support from Science Foundation Ireland Grant SFI/12/IA/1683.
  • © Copyright 2019 American Mathematical Society
  • Journal: Math. Comp. 88 (2019), 2135-2155
  • MSC (2010): Primary 65M06, 65M15, 65M60
  • DOI:
  • MathSciNet review: 3957889