DocumentCode
3231988
Title
Numerical Stability of Delay Integro-Differential Equations under Resolvent Conditions
Author
Zhao, Jing-Jun ; Xu, Yang
Author_Institution
Harbin Inst. of Technol., Harbin
Volume
3
fYear
2007
fDate
July 30 2007-Aug. 1 2007
Firstpage
1060
Lastpage
1063
Abstract
This paper deals with the stability of numerical methods for the delay integro-differential equations. The thetas-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 thetas isin [1/2,1].
Keywords
integro-differential equations; interpolation; iterative methods; numerical stability; delay integro-differential equations; iterative matrix; linear interpolation; numerical stability; thetas-method; Artificial intelligence; Delay lines; Differential equations; Distributed computing; Integral equations; Integrodifferential equations; Interpolation; Numerical stability; Software engineering; Upper bound;
fLanguage
English
Publisher
ieee
Conference_Titel
Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, 2007. SNPD 2007. Eighth ACIS International Conference on
Conference_Location
Qingdao
Print_ISBN
978-0-7695-2909-7
Type
conf
DOI
10.1109/SNPD.2007.232
Filename
4288006
Link To Document