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).

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
URI https://vuir.vu.edu.au/id/eprint/17284
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Grüss inequality, line Riemann-Stieltjes integral, quadrature methods, Poincar´e formula, winding number (index) of a vector field
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