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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.


A fourth-order finite-difference approximation for the fixed membrane eigenproblem
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by J. R. Kuttler PDF
Math. Comp. 25 (1971), 237-256 Request permission


The fixed membrane problem $\Delta u + \lambda u = 0$ in $\Omega ,u = 0$ on $\partial \Omega$, for a bounded region $\Omega$ of the plane, is approximated by a finite-difference scheme whose matrix is monotone. By an extension of previous methods for schemes with matrices of positive type, $O({h^4})$ convergence is shown for the approximating eigenvalues and eigenfunctions, where h is the mesh width. An application to an approximation of the forced vibration problem $\Delta u + qu = f$ in $\Omega ,u = 0$ in $\partial \Omega$, is also given.
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Math. Comp. 25 (1971), 237-256
  • MSC: Primary 65N25
  • DOI:
  • MathSciNet review: 0301955