INVERSION OF THE MULTIDIMENSIONAL LAPLACE TRANSFORM-EXPANSION BY LAGUERRE SERIES

Authors
MOORTHY MV
Citation
Mv. Moorthy, INVERSION OF THE MULTIDIMENSIONAL LAPLACE TRANSFORM-EXPANSION BY LAGUERRE SERIES, Zeitschrift fur angewandte Mathematik und Physik, 46(5), 1995, pp. 793-806
Citations number
11
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Physik → ACNP
ISSN journal
00442275
Volume
46
Issue
5
Year of publication
1995
Pages
793 - 806
Database
ISI
SICI code
0044-2275(1995)46:5<793:IOTMLT>2.0.ZU;2-H
Abstract
In this paper an algorithm to numerically invert two-dimensional Lapla ce transform known in closed form as an analytic function is presented . The method is based on expanding the inverse function in a series of products of(generalized) Laguerre polynomials. It is based on the met hod by Weeks (1966) and the generalized version presented by Piessens and Branders (1971) for the one-dimensional case.