ON THE NUMERICAL EVALUATION OF A CLASS OF INTEGRALS OCCURRING IN SCATTERING PROBLEMS

Authors
RASCH J WHELAN CT
Citation
J. Rasch et Ct. Whelan, ON THE NUMERICAL EVALUATION OF A CLASS OF INTEGRALS OCCURRING IN SCATTERING PROBLEMS, Computer physics communications, 101(1-2), 1997, pp. 31-46
Citations number
20
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
Computer physics communications → ACNP
ISSN journal
00104655
Volume
101
Issue
1-2
Year of publication
1997
Pages
31 - 46
Database
ISI
SICI code
0010-4655(1997)101:1-2<31:OTNEOA>2.0.ZU;2-6
Abstract
We consider integrals of the form integral(R)(infinity) chi l(f)(k(f)r )chi l(i)(k(i)r)r(-lambda+1) dr, where chi l(f)(k(f)r) and chi l(i)(k( i)r) are Bessel or Coulomb wave functions. Integrals of this type occu r in very many scattering calculations and it is frequently the case t hat a large number need to be evaluated to high accuracy and with grea t efficiency. In this paper we present a systematic study of the metho d available for this evaluation and show how they may be effectively d ealt with.