CALCULATING LAPLACE TRANSFORMS IN TERMS OF THE TODA MOLECULE

Authors
NAKAMURA Y
Citation
Y. Nakamura, CALCULATING LAPLACE TRANSFORMS IN TERMS OF THE TODA MOLECULE, SIAM journal on scientific computing (Print), 20(1), 1999, pp. 306-317
Citations number
18
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on scientific computing (Print) → ACNP
ISSN journal
10648275
Volume
20
Issue
1
Year of publication
1999
Pages
306 - 317
Database
ISI
SICI code
1064-8275(1999)20:1<306:CLTITO>2.0.ZU;2-P
Abstract
A method for calculating a continued fraction expansion of Laplace tra nsforms is presented in terms of the tau-function of the continuous ti me Toda molecule equation and its integrable discretization. The z-tra nsform and a discrete analogue of the Laplace transform of a set of fi nite samples are also formulated.