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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

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


Author: David Levin
Journal: Math. Comp. 38 (1982), 531-538
MSC: Primary 65D30
MathSciNet review: 645668
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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

DOI: http://dx.doi.org/10.1090/S0025-5718-1982-0645668-7
PII: S 0025-5718(1982)0645668-7
Article copyright: © Copyright 1982 American Mathematical Society