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

 

Subtracting out complex singularities in numerical integration


Author: F. G. Lether
Journal: Math. Comp. 31 (1977), 223-229
MSC: Primary 65D30
MathSciNet review: 0423768
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Abstract: This paper is concerned with the numerical approximation of definite integrals over $ [ - 1,1]$, in which the function f to be integrated has isolated singularities near $ [ - 1,1]$. Complex variable techniques are used to study the effectiveness of the method of subtracting out complex singularities.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1977-0423768-2
PII: S 0025-5718(1977)0423768-2
Keywords: Complex singularities, quadrature, subtracting out singularities
Article copyright: © Copyright 1977 American Mathematical Society