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

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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].

Original languageEnglish
Pages (from-to)19-25
Number of pages7
JournalJournal of Computational and Applied Mathematics
Volume104
Issue number1
DOIs
Publication statusPublished - Apr 15 1999

Keywords

  • Continuation methods
  • Implicitly defined curve
  • Modified trapezoidal rule

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'A new proof of the Euler-Maclaurin expansion for quadrature over implicitly defined curves'. Together they form a unique fingerprint.

Cite this