The evaluation of Cauchy principal value integrals involving unknown poles |
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| Authors: | D B Hunter H V Smith |
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| Institution: | (1) Department of Mathematics, The University, BD7 1DP Bradford, Yorkshire, England;(2) Department of Information Systems, The Polytechnic, LS6 3QS Leeds, Yorkshire, England |
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| Abstract: | A method is described for the evaluation of a Cauchy principal value integral of the formf
0
p
f(t)dt, wheref is analytic in the interval 0,p] except at a simple pole at an unknown point in (0,p), with an unknown residue . The method is based on the trapezoidal rule. |
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| Keywords: | 65D30 |
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