Analysis of delay-dependent stability of linear θ-methods for linear delay-integro-differential equations

Yang Xu; Jing Jun Zhao

doi:10.1093/imamat/hxp029

Analysis of delay-dependent stability of linear θ-methods for linear delay-integro-differential equations

Yang Xu^*
, Jing Jun Zhao

^*Corresponding author for this work

School of Mathematics

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

9 Scopus citations

Abstract

In this paper, the stability regions of linear θ-methods are considered with respect to the linear integro-differential equation with an arbitrary but fixed delay. A necessary condition is proved for θ-methods to be weakly τ(0)-stable and a sufficient condition is conjectured by some numerical investigation.

Original language	English
Pages (from-to)	851-869
Number of pages	19
Journal	IMA Journal of Applied Mathematics
Volume	74
Issue number	6
DOIs	https://doi.org/10.1093/imamat/hxp029
State	Published - Dec 2009

Keywords

Delay-dependent stability
Delay-integro-differential equations
Numerical methods

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10.1093/imamat/hxp029

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title = "Analysis of delay-dependent stability of linear θ-methods for linear delay-integro-differential equations",

abstract = "In this paper, the stability regions of linear θ-methods are considered with respect to the linear integro-differential equation with an arbitrary but fixed delay. A necessary condition is proved for θ-methods to be weakly τ(0)-stable and a sufficient condition is conjectured by some numerical investigation.",

keywords = "Delay-dependent stability, Delay-integro-differential equations, Numerical methods",

author = "Yang Xu and Zhao, \{Jing Jun\}",

year = "2009",

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doi = "10.1093/imamat/hxp029",

language = "英语",

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T1 - Analysis of delay-dependent stability of linear θ-methods for linear delay-integro-differential equations

AU - Xu, Yang

AU - Zhao, Jing Jun

PY - 2009/12

Y1 - 2009/12

N2 - In this paper, the stability regions of linear θ-methods are considered with respect to the linear integro-differential equation with an arbitrary but fixed delay. A necessary condition is proved for θ-methods to be weakly τ(0)-stable and a sufficient condition is conjectured by some numerical investigation.

AB - In this paper, the stability regions of linear θ-methods are considered with respect to the linear integro-differential equation with an arbitrary but fixed delay. A necessary condition is proved for θ-methods to be weakly τ(0)-stable and a sufficient condition is conjectured by some numerical investigation.

KW - Delay-dependent stability

KW - Delay-integro-differential equations

KW - Numerical methods

UR - https://www.scopus.com/pages/publications/77950527829

U2 - 10.1093/imamat/hxp029

DO - 10.1093/imamat/hxp029

M3 - 文章

AN - SCOPUS:77950527829

SN - 0272-4960

VL - 74

SP - 851

EP - 869

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

IS - 6

ER -

Analysis of delay-dependent stability of linear θ-methods for linear delay-integro-differential equations

Abstract

Keywords

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