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On Numerical Evaluation of the Winding Number of a Plane Vector Field

Fedotov, I and Dragomir, Sever S (2000) On Numerical Evaluation of the Winding Number of a Plane Vector Field. RGMIA research report collection, 3 (1).

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Abstract

In this paper we prove a new inequality of Grüss type for the Riemann-Stieltjes line integral, which gives the possibility of numerically evaluating line integrals of continuous Lipschitzian functions.

Item Type: Article
Uncontrolled Keywords: Grüss inequality, line Riemann-Stieltjes integral, quadrature methods, Poincar´e formula, winding number (index) of a vector field
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 19 Jul 2012 02:31
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17284
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