Multivariate quadrature of a singular integrand

Autor:	Olaf Hansen, David Chien, Kendall Atkinson
Rok vydání:	2021
Předmět:	Computational Mathematics Multivariate statistics Point singularity Applied Mathematics Mathematical analysis Boundary (topology) Computational Science and Engineering Unit disk Numerical integration Mathematics Visualization Quadrature (mathematics)
Zdroj:	Advances in Computational Mathematics. 47
ISSN:	1572-9044 1019-7168
DOI:	10.1007/s10444-021-09869-4
Popis:	Consider an integral with a point singularity in its integrand, such as ρ−α or $\log \rho $ . We introduceand discuss two methods for approximating such integrals, in both two and three dimensions. The methods are first introduced using the unit disk as the quadrature region, and then, they are extended to other regions and to three dimensions. The error behavior of the numerical integration for singular points near to the boundary is examined.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::48e839137e9e52a2b0243d59418092e1 https://doi.org/10.1007/s10444-021-09869-4 Zobrazit plný text záznamu Full text from SpringerLink