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Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007)
Numerical Stability of Delay Integro-Differential Equations under Resolvent Conditions
Haier International Training Center, Qingdao, China
July 30-August 01
ISBN: 0-7695-2909-7
ASCII Text
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Jing-jun Zhao, Yang Xu, "Numerical Stability of Delay Integro-Differential Equations under Resolvent Conditions," Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on, vol. 3, pp. 1060-1063, Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007), 2007.
 
 
BibTex
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@article{ 10.1109/SNPD.2007.232,
author = {Jing-jun Zhao and Yang Xu},
title = {Numerical Stability of Delay Integro-Differential Equations under Resolvent Conditions},
journal ={Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on},
volume = {3},
year = {2007},
isbn = {0-7695-2909-7},
pages = {1060-1063},
doi = {http://doi.ieeecomputersociety.org/10.1109/SNPD.2007.232},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on
TI - Numerical Stability of Delay Integro-Differential Equations under Resolvent Conditions
SN - 0-7695-2909-7
SP1060
EP1063
A1 - Jing-jun Zhao,
A1 - Yang Xu,
PY - 2007
KW - null
VL - 3
JA - Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on
ER -
 
Jing-jun Zhao, Harbin Institute of Technology, China
Yang Xu, Harbin Institute of Technology, China
This paper deals with the stability of numerical methods for the delay integro-differential equations. The \theta-methods are applied to this system by using the linear interpolation. The upper bound of norm for the corresponding iterative matrix is studied under a weak version for the resolvent conditions of Kreiss. It is proved that the system would preserve its stable properties if \theta \in [1/2, 1].
Citation:
Jing-jun Zhao, Yang Xu, "Numerical Stability of Delay Integro-Differential Equations under Resolvent Conditions," snpd, vol. 3, pp.1060-1063, Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007), 2007
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