Numerical Evaluation of a Class of Double Integrals of Oscillatory Functions |
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| Authors: | HOPKINS H. H. |
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| Affiliation: | J. J. Thomson Physical Laboratory, University of Reading P.O. Box 220, Whiteknights, Reading, Berkshire RG6 2AF, UK |
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| Abstract: | ![]()
A general method is described for the numerical evaluation ofintegrals of the form  where, in a typical case,  (x, y) is a lengthy polynomial ofdegree 10 in (x, y) and A is the region common to three overlappingcircles, although the method is in no way restricted to suchcases. Illustrative numerical examples are given. |
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