The modified trapezoidal rule for line integrals
type: Item
instance of: scholarly article
title: The modified trapezoidal rule for line integrals
zbMATH Open document ID: 0885.65017
DOI: 10.1016/S0377-0427(97)00071-X
published in: Journal of Computational and Applied Mathematics
publication date: 1998-04-02T00:00:00Z
review text: The authors propose two numerical integration techniques that are modified trapezoidal and modified Romberg rules. They present also results of some numerical experiments for evaluating the line integral of a vector field over an implicitly defined curve. The proof of an asymptotic error expansion for the modified trapezoidal rule as a modification of that of \textit{P. Verlinden} and \textit{R. Cools} [Math. Comput. 63, No. 208, 717-725 (1994; Zbl 0811.65020)] is given.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 1084118
zbMATH Keywords: continuation methods
zbMATH Keywords: implicitly defined curve
zbMATH Keywords: modified trapezoidal rule
zbMATH Keywords: modified Romberg scheme
zbMATH Keywords: stopping criterion
zbMATH Keywords: quadrature formula
zbMATH Keywords: line integral
zbMATH Keywords: asymptotic error expansion
author: Hani I. Siyyam
author: Muhammed Syam
reviewed by: Josef Kofroň
MaRDI profile type: Publication
cites work: Q3998344
cites work: Q3139554
cites work: Approximation of Integrals for Boundary Element Methods
cites work: Linear integral equations
cites work: On Numerical Contour Integration Round a Closed Contour
cites work: Computing singular solutions to nonlinear analytic systems
cites work: Q3997321
cites work: Proof of a Conjectured Asymptotic Expansion for the Approximation of Surface Integrals
description: scientific article; zbMATH DE number 1084118