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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 estimates for spatially discrete approximations of semilinear parabolic equations with initial data of low regularity
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by M. Crouzeix, V. Thomée and L. B. Wahlbin PDF
Math. Comp. 53 (1989), 25-41 Request permission


Semidiscrete finite element methods for a semilinear parabolic equation in ${R^d}$, $d \leq 3$, were considered by Johnson, Larsson, Thomée, and Wahlbin. With h the discretization parameter, it was proved that, for compatible and bounded initial data in ${H^\alpha }$, the convergence rate is essentially $O({h^{2 + \alpha }})$ for t positive, and for $\alpha = 0$ this was seen to be best possible. Here we shall show that for $0 \leq \alpha < 2$ the convergence rate is, in fact, essentially $O({h^{2 + 2\alpha }})$, which is sharp.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Math. Comp. 53 (1989), 25-41
  • MSC: Primary 65N10
  • DOI:
  • MathSciNet review: 970700