Title :
Numerical Stability of Delay Integro-Differential Equations under Resolvent Conditions
Author :
Zhao, Jing-Jun ; Xu, Yang
Author_Institution :
Harbin Inst. of Technol., Harbin
fDate :
July 30 2007-Aug. 1 2007
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;
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
DOI :
10.1109/SNPD.2007.232
