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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.


Resolvent estimates for elliptic finite element operators in one dimension
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by M. Crouzeix, S. Larsson and V. Thomée PDF
Math. Comp. 63 (1994), 121-140 Request permission


We prove the analyticity (uniform in h) of the semigroups generated on ${L_p}(0,1),1 \leq p \leq \infty$, by finite element analogues ${A_h}$ of a one-dimensional second-order elliptic operator A under Dirichlet boundary conditions. This is accomplished by showing the appropriate estimates for the resolvents by means of energy arguments. The results are applied to prove stability and optimal-order error bounds for numerical solutions of the associated parabolic problem for both smooth and nonsmooth data.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Math. Comp. 63 (1994), 121-140
  • MSC: Primary 65N30; Secondary 65M60
  • DOI:
  • MathSciNet review: 1242058