A new proof of the Euler–Maclaurin expansion for quadrature over implicitly de ned curves

نویسنده

  • Muhammed I. Syam
چکیده

In this paper we describe and justify a method for integrating over implicitly de ned 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 modi cation of that of Lyness [4]. c © 1999 Elsevier Science B.V. All rights reserved. AMS classi cation: 65

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تاریخ انتشار 1999