G-matrices for algebraically stable general linear methods

Adrian T Hill

doi:10.1007/s11075-009-9299-7

G-matrices for algebraically stable general linear methods

Adrian T Hill

Department of Mathematical Sciences

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

5 Citations (SciVal)

Abstract

This paper describes a technique from Control whereby the G-matrix for an algebraically stable general linear method may be found in terms of the generalised eigenvectors of a generalised eigenproblem associated with the method.

Original language	English
Pages (from-to)	281-292
Number of pages	12
Journal	Numerical Algorithms
Volume	53
Issue number	2-3
Early online date	11 May 2009
DOIs	https://doi.org/10.1007/s11075-009-9299-7
Publication status	Published - 1 Mar 2010

Bibliographical note

Hill, A. T. International Conference on Numerical Solution of Differential Equations Jul 14-25, 2008 Auckland, NEW ZEALAND Sp. Iss. SI

Access to Document

10.1007/s11075-009-9299-7

Cite this

@article{65d6df1fae4d4294815e79480233fdfc,

title = "G-matrices for algebraically stable general linear methods",

abstract = "This paper describes a technique from Control whereby the G-matrix for an algebraically stable general linear method may be found in terms of the generalised eigenvectors of a generalised eigenproblem associated with the method.",

author = "Hill, {Adrian T}",

note = "Hill, A. T. International Conference on Numerical Solution of Differential Equations Jul 14-25, 2008 Auckland, NEW ZEALAND Sp. Iss. SI",

year = "2010",

month = mar,

day = "1",

doi = "10.1007/s11075-009-9299-7",

language = "English",

volume = "53",

pages = "281--292",

journal = "Numerical Algorithms",

issn = "1017-1398",

publisher = "Springer Netherlands",

number = "2-3",

}

TY - JOUR

T1 - G-matrices for algebraically stable general linear methods

AU - Hill, Adrian T

N1 - Hill, A. T. International Conference on Numerical Solution of Differential Equations Jul 14-25, 2008 Auckland, NEW ZEALAND Sp. Iss. SI

PY - 2010/3/1

Y1 - 2010/3/1

N2 - This paper describes a technique from Control whereby the G-matrix for an algebraically stable general linear method may be found in terms of the generalised eigenvectors of a generalised eigenproblem associated with the method.

AB - This paper describes a technique from Control whereby the G-matrix for an algebraically stable general linear method may be found in terms of the generalised eigenvectors of a generalised eigenproblem associated with the method.

UR - http://www.scopus.com/inward/record.url?scp=74149083803&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1007/s11075-009-9299-7

U2 - 10.1007/s11075-009-9299-7

DO - 10.1007/s11075-009-9299-7

M3 - Article

SN - 1017-1398

VL - 53

SP - 281

EP - 292

JO - Numerical Algorithms

JF - Numerical Algorithms

IS - 2-3

ER -

G-matrices for algebraically stable general linear methods

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this