Skip to Main Content

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 2024 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
HTML articles powered by AMS MathViewer

by J. Saranen and G. Vainikko PDF
Math. Comp. 67 (1998), 1473-1491 Request permission

Abstract:

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.
References
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC (1991): 65R20, 65N35, 45E10
  • Retrieve articles in all journals with MSC (1991): 65R20, 65N35, 45E10
Additional Information
  • J. Saranen
  • Affiliation: University of Oulu, Department of Mathematical Sciences, 90570 Oulu Finland
  • Email: jsaranen@cc.oulu.fi
  • G. Vainikko
  • Affiliation: Institut of Mathematics, Helsinki University of Technology, 02150 Espoo, Finland
  • Email: gennadi.vainikko@hut.fi
  • 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: https://doi.org/10.1090/S0025-5718-98-00997-1
  • MathSciNet review: 1489973