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Computation of the M matrix for fourth-order problems

Bennewitz, Christer LU ; Brown, B. Malcolm ; Evans, W. Desmond ; McCormack, D. K. R. M. and Marletta, Marco (1996) In Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences 452(1951). p.1765-1788
Abstract
This paper is concerned with the numerical computation of the Titchmarsh-Weyl M matrix. We show how an algorithm may be developed which relates solutions of an initial-value problem to an approximation of the M matrix. In some special cases we compare the results from our algorithm with results obtained using special functions.
Please use this url to cite or link to this publication:
author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
TITCHMARSH, HAMILTONIAN-SYSTEMS, WEYL M-COEFFICIENT
in
Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences
volume
452
issue
1951
pages
1765 - 1788
publisher
Royal Society Publishing
external identifiers
  • scopus:0010666028
ISSN
1364-5021
language
English
LU publication?
yes
id
9c17bb25-63b6-4896-9912-0e1d509a0350 (old id 932349)
alternative location
http://www.jstor.org/view/13645021/ap000008/00a00030/0
date added to LUP
2016-04-04 09:11:11
date last changed
2025-04-04 13:54:30
@article{9c17bb25-63b6-4896-9912-0e1d509a0350,
  abstract     = {{This paper is concerned with the numerical computation of the Titchmarsh-Weyl M matrix. We show how an algorithm may be developed which relates solutions of an initial-value problem to an approximation of the M matrix. In some special cases we compare the results from our algorithm with results obtained using special functions.}},
  author       = {{Bennewitz, Christer and Brown, B. Malcolm and Evans, W. Desmond and McCormack, D. K. R. M. and Marletta, Marco}},
  issn         = {{1364-5021}},
  keywords     = {{TITCHMARSH; HAMILTONIAN-SYSTEMS; WEYL M-COEFFICIENT}},
  language     = {{eng}},
  number       = {{1951}},
  pages        = {{1765--1788}},
  publisher    = {{Royal Society Publishing}},
  series       = {{Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences}},
  title        = {{Computation of the M matrix for fourth-order problems}},
  url          = {{http://www.jstor.org/view/13645021/ap000008/00a00030/0}},
  volume       = {{452}},
  year         = {{1996}},
}