Open AccessNumerical Approximation of Integrals in Presence of Nearby Singularities
Author(s) -
Pravat Manjari Mohanty,
Milu Acharya
Publication year - 2021
Publication title -
türk bilgisayar ve matematik eğitimi dergisi
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.218
H-Index - 3
ISSN - 1309-4653
DOI - 10.17762/turcomat.v12i6.4904
Subject(s) - numerical integration , quadrature (astronomy) , singularity , gravitational singularity , numerical approximation , mathematics , gaussian quadrature , numerical analysis , nyström method , computer science , mathematical analysis , integral equation , physics , optics
The quadrature formulas meant for the numerical approximation of integrals of one-dimensional real variables need to be modified for the sake of accuracy when a singularity is present in the proximity of the path of integration. The required corrective factor has been constructed and some existing quadrature rule has been applied with the corrective factor to obtain better accuracy.