Solution of integral eqs. via Chebyshev expansions
Journal Article
·
· Bulletin of the American Physical Society
OSTI ID:255613
- and others
Greengard and Rokhlin`s method of solving certain integral equations consists in dividing the integration interval into N sub-intervals, in each sub-interval expanding the solution into Chebyshev polynomials, and subsequently recombining the sub-intervals into one. We present a new improved form of the recombination procedure, developed in a collaboration between the Physics and Mathematics Departments, which is both fast and numerically stable. We give examples for the solution of the Lippmann-Schwinger equation, and evaluate overlap integrals of two such solutions and a potential. Our method is well suited especially if the integrand is very oscillatory, since the truncation errors can be controlled rigorously.
- OSTI ID:
- 255613
- Report Number(s):
- CONF-9510116--
- Journal Information:
- Bulletin of the American Physical Society, Journal Name: Bulletin of the American Physical Society Journal Issue: 10 Vol. 40; ISSN 0003-0503; ISSN BAPSA6
- Country of Publication:
- United States
- Language:
- English
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