THE EVALUATION OF INFINITE-RANGE OSCILLATORY INTEGRALS USING OPTIMAL CONTOURS IN THE COMPLEX-PLANE

Authors
EVANS GA CHUNG KC
Citation
Ga. Evans et Kc. Chung, THE EVALUATION OF INFINITE-RANGE OSCILLATORY INTEGRALS USING OPTIMAL CONTOURS IN THE COMPLEX-PLANE, International journal of computer mathematics, 66(1-2), 1998, pp. 39-52
Citations number
19
Categorie Soggetti
Mathematics,Mathematics
Journal title
International journal of computer mathematics
ISSN journal
00207160 → ACNP
Volume
66
Issue
1-2
Year of publication
1998
Pages
39 - 52
Database
ISI
SICI code
Abstract
A method is proposed for the evaluation of infinite range irregular os cillatory integrals of the form I = integral(a)(infinity) f(x)e(iwxb) which is based on finding a contour in complex space which removes the oscillatory part. The resulting integral can then be evaluated conven tionally. Conditions on f are found for this process to be valid, and comparisons made with alternative methods. A highly competive algorith m is generated.