A new proof of the Euler-Maclaurin expansion for quadrature over implicitly defined curves |
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| Affiliation: | Department of Mathematics & Computer Science, Faculty of Science, P.O. Box 17557, United Arab Emirates University, Al-Ain, U.A.E. |
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| Abstract: | In this paper we describe and justify a method for integrating over implicitly defined curves. This method does not require that the Jacobian be known explicitly. We give a proof of an asymptotic error expansion for this method which is a modification of that of Lyness [4]. |
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