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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.


Numerical solution of the ${\mathbb R}$-linear Beltrami equation
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by Marko Huhtanen and Allan Perämäki PDF
Math. Comp. 81 (2012), 387-397 Request permission


The $\mathbb {R}$-linear Beltrami equation appears in applications, such as the inverse problem of recovering the electrical conductivity distribution in the plane. In this paper, a new way to discretize the $\mathbb {R}$-linear Beltrami equation is considered. This gives rise to large and dense $\mathbb {R}$-linear systems of equations with structure. For their iterative solution, norm minimizing Krylov subspace methods are devised. In the numerical experiments, these improvements combined are shown to lead to speed-ups of almost two orders of magnitude in the electrical conductivity problem.
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Additional Information
  • Marko Huhtanen
  • Affiliation: Institute of Mathematics, Aalto University, P.O. Box 11100, FI-00076 Aalto, Finland
  • Email:
  • Allan Perämäki
  • Affiliation: Institute of Mathematics, Aalto University, P.O. Box 11100, FI-00076 Aalto, Finland
  • Email:
  • Received by editor(s): June 18, 2010
  • Received by editor(s) in revised form: December 15, 2010
  • Published electronically: August 9, 2011
  • Additional Notes: The research of both authors was supported by the Academy of Finland
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 81 (2012), 387-397
  • MSC (2010): Primary 65R20, 65F10, 45Q05
  • DOI:
  • MathSciNet review: 2833500