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Efficient solution of scattering equations by combination of R-matrix and Lanczos methods

Publication at Faculty of Mathematics and Physics |
2010

Abstract

We propose a fast and economical computational method for solving scattering Lippmann-Schwinger integral equation. Our approach benefits from the accurate construction of the Green's function based on the R-matrix theory combined with the Schwinger-Lanczos variational principle.

No principal restrictions on the form of the potential are assumed. Theoretical description of our method in the first part of this paper is then followed by numerical examples.