Computation of the M matrix for fourth-order problems
(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:
https://lup.lub.lu.se/record/932349
- author
- Bennewitz, Christer LU ; Brown, B. Malcolm ; Evans, W. Desmond ; McCormack, D. K. R. M. and Marletta, Marco
- organization
- publishing date
- 1996
- 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}}, }