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Analysis of a collocation method for integrating rapidly oscillatory functions

✍ Scribed by David Levin

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
334 KB
Volume
78
Category
Article
ISSN
0377-0427

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✦ Synopsis

A collocation method for approximating integrals of rapidly oscillatory functions is analyzed. The method is efficient for integrals involving Bessel functions J,.(rx) with a large oscillation frequency parameter r, as well as for many other one-and multi-dimensional integrals of functions with rapid irregular oscillations. The analysis provides a convergence rate and it shows that the relative error of the method is even decreasing as the frequency of the oscillations increases.

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