Title: Numerical computation of integral of analytic functions in complex plane

Authors: Manoj Kumar Hota; Biranchi Narayan Dash; Prasanta Kumar Mohanty

Addresses: Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar, Odisha, India ' Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar, Odisha, India ' Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar, Odisha, India

Abstract: A family of interpolatory type of quadrature rules of degree of precision at least seven has been constructed for the approximate evaluation of contour integrals of analytic functions along a directed line segment in the complex plane. The relative accuracies of rules have been studied in their respective classes and also numerically verified by integrating some standard test integrals.

Keywords: analytic functions; degree of precision; extrapolation; error bound; asymptotic error; quadrature rule; numerical integration; scientific-mathematical computation; complex planes; contour integrals.

DOI: 10.1504/IJCSM.2016.081677

International Journal of Computing Science and Mathematics, 2016 Vol.7 No.6, pp.516 - 529

Received: 31 May 2014
Accepted: 09 Apr 2015
Published online: 20 Jan 2017 *

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