A new proof of the Euler-Maclaurin expansion for quadrature over implicitly defined curves
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摘要
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].
论文关键词：65,Continuation methods,Implicitly defined curve,Modified trapezoidal rule
论文评审过程：Received 23 March 1998, Revised 22 July 1998, Available online 24 May 1999.
论文官网地址：https://doi.org/10.1016/S0377-0427(98)00198-8
