Stability analysis of exponential RungeKutta methods for delay differential equations

Y. Xu; J. J. Zhao; Z. N. Sui

doi:10.1016/j.aml.2011.01.029

Stability analysis of exponential RungeKutta methods for delay differential equations

Y. Xu
, J. J. Zhao
, Z. N. Sui

School of Mathematics

Harbin Institute of Technology

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

7 Scopus citations

Abstract

A sufficient condition of stability of exponential RungeKutta methods for delay differential equations is obtained. Furthermore, a relationship between P-stability and GP-stability is established. It is proved that the numerical methods can preserve the analytical stability for a class of test problems.

Original language	English
Pages (from-to)	1089-1092
Number of pages	4
Journal	Applied Mathematics Letters
Volume	24
Issue number	7
DOIs	https://doi.org/10.1016/j.aml.2011.01.029
State	Published - Jul 2011

Keywords

Delay differential equations
RungeKutta methods
Stability

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10.1016/j.aml.2011.01.029

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title = "Stability analysis of exponential RungeKutta methods for delay differential equations",

abstract = "A sufficient condition of stability of exponential RungeKutta methods for delay differential equations is obtained. Furthermore, a relationship between P-stability and GP-stability is established. It is proved that the numerical methods can preserve the analytical stability for a class of test problems.",

keywords = "Delay differential equations, RungeKutta methods, Stability",

author = "Y. Xu and Zhao, \{J. J.\} and Sui, \{Z. N.\}",

year = "2011",

month = jul,

doi = "10.1016/j.aml.2011.01.029",

language = "英语",

volume = "24",

pages = "1089--1092",

journal = "Applied Mathematics Letters",

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T1 - Stability analysis of exponential RungeKutta methods for delay differential equations

AU - Xu, Y.

AU - Zhao, J. J.

AU - Sui, Z. N.

PY - 2011/7

Y1 - 2011/7

N2 - A sufficient condition of stability of exponential RungeKutta methods for delay differential equations is obtained. Furthermore, a relationship between P-stability and GP-stability is established. It is proved that the numerical methods can preserve the analytical stability for a class of test problems.

AB - A sufficient condition of stability of exponential RungeKutta methods for delay differential equations is obtained. Furthermore, a relationship between P-stability and GP-stability is established. It is proved that the numerical methods can preserve the analytical stability for a class of test problems.

KW - Delay differential equations

KW - RungeKutta methods

KW - Stability

UR - https://www.scopus.com/pages/publications/79953191738

U2 - 10.1016/j.aml.2011.01.029

DO - 10.1016/j.aml.2011.01.029

M3 - 文章

AN - SCOPUS:79953191738

SN - 0893-9659

VL - 24

SP - 1089

EP - 1092

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 7

ER -

Stability analysis of exponential RungeKutta methods for delay differential equations

Abstract

Keywords

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