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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 2024 MCQ for Mathematics of Computation is 1.78.

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Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations
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by David Levin PDF
Math. Comp. 38 (1982), 531-538 Request permission

Abstract:

A collocation procedure for efficient integration of rapidly oscillatory functions is presented. The integration problem is transformed into a certain O.D.E. problem, and this is solved by a collocation technique. The method is also extended to two-dimensional integration, and some numerical results are appended showing the efficiency of the method in handling difficult cases of rapid irregular oscillations.
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Math. Comp. 38 (1982), 531-538
  • MSC: Primary 65D30
  • DOI: https://doi.org/10.1090/S0025-5718-1982-0645668-7
  • MathSciNet review: 645668