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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.


Fast solvers of integral and pseudodifferential equations on closed curves
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by J. Saranen and G. Vainikko PDF
Math. Comp. 67 (1998), 1473-1491 Request permission


On the basis of a fully discrete trigonometric Galerkin method and two grid iterations we propose solvers for integral and pseudodifferential equations on closed curves which solve the problem with an optimal convergence order $\|u_N-u\|_\lambda \leq c_{\lambda ,\mu }N^{\lambda -\mu }\|u\|_\mu$, $\lambda \leq \mu$ (Sobolev norms of periodic functions) in $\mathrm {O}(N\log N)$ arithmetical operations.
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Additional Information
  • J. Saranen
  • Affiliation: University of Oulu, Department of Mathematical Sciences, 90570 Oulu Finland
  • Email:
  • G. Vainikko
  • Affiliation: Institut of Mathematics, Helsinki University of Technology, 02150 Espoo, Finland
  • Email:
  • Received by editor(s): January 11, 1995
  • Received by editor(s) in revised form: July 22, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Math. Comp. 67 (1998), 1473-1491
  • MSC (1991): Primary 65R20; Secondary 65N35, 45E10
  • DOI:
  • MathSciNet review: 1489973