Sigmoidal transformations and the Euler-Maclaurin expansion for evaluating certain Hadamard finite-part integrals |
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| Authors: | David Elliott Ezio Venturino |
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| Institution: | (1) Mathematics Department, University of Tasmania, GPO Box 252-37, Hobart, Tasmania 7001, Australia , AU;(2) Mathematics Department, University of Iowa, Iowa City, IA 52242, USA , US |
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| Abstract: | Summary. Starting with some results of Lyness concerning the Euler-Maclaurin expansion of Cauchy principal value integrals over it is shown how, by the use of sigmoidal transformations, good approximations can be found for the Hadamard finite-part integral
where The analysis is illustrated by some numerical examples.
Received March 13, 1996 |
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| Keywords: | Mathematics Subject Classification (1991):65B15 65D30 |
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