Computation of the M matrix for fourth-order problems

Christer Bennewitz; B. Malcolm Brown; W. Desmond Evans; D. K. R. M. McCormack; Marco Marletta

Computation of the M matrix for fourth-order problems

Christer Bennewitz, B. Malcolm Brown, W. Desmond Evans, D. K. R. M. McCormack, Marco Marletta

Mathematics (Faculty of Sciences)

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1765-1788
Journal	Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences
Volume	452
Issue number	1951
Publication status	Published - 1996

Subject classification (UKÄ)

Mathematical Sciences

Free keywords

TITCHMARSH
HAMILTONIAN-SYSTEMS
WEYL M-COEFFICIENT

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http://www.jstor.org/view/13645021/ap000008/00a00030/0

Cite this

@article{9c17bb2563b6489699120e1d509a0350,

title = "Computation of the M matrix for fourth-order problems",

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.",

keywords = "TITCHMARSH, HAMILTONIAN-SYSTEMS, WEYL M-COEFFICIENT",

author = "Christer Bennewitz and Brown, \{B. Malcolm\} and Evans, \{W. Desmond\} and McCormack, \{D. K. R. M.\} and Marco Marletta",

year = "1996",

language = "English",

volume = "452",

pages = "1765--1788",

journal = "Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences",

issn = "1364-5021",

publisher = "Royal Society Publishing",

number = "1951",

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TY - JOUR

T1 - Computation of the M matrix for fourth-order problems

AU - Bennewitz, Christer

AU - Brown, B. Malcolm

AU - Evans, W. Desmond

AU - McCormack, D. K. R. M.

AU - Marletta, Marco

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

KW - TITCHMARSH

KW - HAMILTONIAN-SYSTEMS

KW - WEYL M-COEFFICIENT

UR - https://www.scopus.com/pages/publications/0010666028

M3 - Article

SN - 1364-5021

VL - 452

SP - 1765

EP - 1788

JO - Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences

JF - Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences

IS - 1951

ER -

Computation of the M matrix for fourth-order problems

Abstract

Subject classification (UKÄ)

Free keywords

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Cite this