Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics

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Asymptotic Stability of Runge-Kutta Methods for Linear Delay-integro-diffrential-Algebraic Equation

Authors
Qiong Li, Yuxia Wang
Corresponding Author
Qiong Li
Available Online August 2015.
DOI
10.2991/msam-15.2015.80How to use a DOI?
Keywords
delay-differential-algebraic equations; Runge-Kutta methods; asymptotic stability
Abstract

This paper deals with the asymptotic behavior of Runge-Kutta methods for linear delay-integro-differential-algebraic equations. It was shown that R-K of A-stability preserves the asymptotic stability of the equations under some conditions if applied to the equations.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics
Series
Advances in Intelligent Systems Research
Publication Date
August 2015
ISBN
10.2991/msam-15.2015.80
ISSN
1951-6851
DOI
10.2991/msam-15.2015.80How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Qiong Li
AU  - Yuxia Wang
PY  - 2015/08
DA  - 2015/08
TI  - Asymptotic Stability of Runge-Kutta Methods for Linear Delay-integro-diffrential-Algebraic Equation
BT  - Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics
PB  - Atlantis Press
SP  - 355
EP  - 357
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-15.2015.80
DO  - 10.2991/msam-15.2015.80
ID  - Li2015/08
ER  -