Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations

David Levin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

228 Scopus citations

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.

Original languageEnglish
Pages (from-to)531-538
Number of pages8
JournalMathematics of Computation
Volume38
Issue number158
DOIs
StatePublished - Apr 1982

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