✦ LIBER ✦

A new proof of the Euler-Maclaurin expansion for quadrature over implicitly defined curves

✍ Scribed by Muhammed I. Syam

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 366 KB
Volume: 104
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(98)00198-8

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✦ Synopsis

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].