Open AccessAN EXTRAPOLATORY QUADRATURE RULEFOR ANALYTIC FUNCTIONS
Author(s) -
Pravat Manjari Mohanty,
M. Acharya
Publication year - 2016
Publication title -
international journal of research - granthaalayah
Language(s) - English
Resource type - Journals
eISSN - 2394-3629
pISSN - 2350-0530
DOI - 10.29121/granthaalayah.v4.i6.2016.2631
Subject(s) - clenshaw–curtis quadrature , gauss–jacobi quadrature , tanh sinh quadrature , gauss–kronrod quadrature formula , gauss–laguerre quadrature , gaussian quadrature , gauss–hermite quadrature , quadrature (astronomy) , numerical integration , mathematics , analytic function , mathematical analysis , complex plane , nyström method , integral equation , physics , optics
A quadrature rule for the numerical evaluation of integrals of analytic functions along directed line segments in the complex plane has been formulated using the transformed rule based on Gauss Legendre two point quadrature formulas and an interpolatory three point rule. The degree of precision has been increased from five to seven