Calculating Laplace transforms in terms of the Toda molecule

被引：29

作者：

Nakamura, Y ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Engn Sci, Dept Informat & Math Sci, Toyonaka, Osaka 5608531, Japan

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 1998年 / 20卷 / 01期

关键词：

Laplace transforms; Toda molecule equation; tau-function; discretization;

D O I：

10.1137/S106482759631408X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method for calculating a continued fraction expansion of Laplace transforms is presented in terms of the tau-function of the continuous time Toda molecule equation and its integrable discretization. The z-transform and a discrete analogue of the Laplace transform of a set of finite samples are also formulated.

引用

页码：306 / 317

页数：12

共 18 条

[1]

[Anonymous], 1974, APPL COMPUTATIONAL C

[2]

[Anonymous], CONT MATH AMS

[3]

[Anonymous], LECTURE NOTES PHYSIC

[4] THE GENERALIZED TODA FLOW, THE QR ALGORITHM AND THE CENTER MANIFOLD THEORY [J].