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

Muhammed I. Syam

doi:10.1016/S0377-0427(98)00198-8

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

Muhammed I. Syam

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	19-25
Number of pages	7
Journal	Journal of Computational and Applied Mathematics
Volume	104
Issue number	1
DOIs	https://doi.org/10.1016/S0377-0427(98)00198-8
Publication status	Published - Apr 15 1999

Keywords

Continuation methods
Implicitly defined curve
Modified trapezoidal rule

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/S0377-0427(98)00198-8

Cite this

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title = "A new proof of the Euler-Maclaurin expansion for quadrature over implicitly defined curves",

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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Y1 - 1999/4/15

N2 - 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].

AB - 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].

KW - Continuation methods

KW - Implicitly defined curve

KW - Modified trapezoidal rule

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UR - https://www.scopus.com/pages/publications/0032680012#tab=citedBy

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DO - 10.1016/S0377-0427(98)00198-8

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IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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