A GENERAL-PURPOSE ALGORITHM FOR THE INTEGRATION OF FUNCTIONS WITH POWER-LAW SINGULARITIES OF ARBITRARY EXPONENT

Authors
MATA GJ PESTANA E
Citation
Gj. Mata et E. Pestana, A GENERAL-PURPOSE ALGORITHM FOR THE INTEGRATION OF FUNCTIONS WITH POWER-LAW SINGULARITIES OF ARBITRARY EXPONENT, Computer physics communications, 92(2-3), 1995, pp. 225-228
Citations number
4
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
Computer physics communications → ACNP
ISSN journal
00104655
Volume
92
Issue
2-3
Year of publication
1995
Pages
225 - 228
Database
ISI
SICI code
0010-4655(1995)92:2-3<225:AGAFTI>2.0.ZU;2-U
Abstract
We describe a method for the integration of functions with power-law s ingularities of arbitrary exponents. The method does not require a pri ori knowledge of the exponent of the singularity. This fact makes the method useful in situations where such knowledge is not readily availa ble, as might be the case in numerical computations in which the expon ent is a nontrivial function of the input parameters. We have found th is method particularly useful when applied to Green function calculati ons of spectral distributions at surfaces and interfaces.