DocumentCode
3087450
Title
A waveform relaxation approach to determining periodic responses of linear differential-algebraic equations
Author
Jiang, Yao-Lin ; Chen, Richard M M ; Wing, Omar
Volume
5
fYear
2001
fDate
2001
Firstpage
443
Abstract
We propose an algorithm, which is based on the waveform relaxation (WR) approach, to find the periodic responses of differential-algebraic equations. We derive an analytic expression of the spectral radius for the WR operator under a periodic constraint. Convergent splittings are obtained from this expression. Discrete waveforms are computed by the finite difference method. Numerical examples further illustrate the theoretical work in this paper
Keywords
circuit simulation; differential equations; finite difference methods; iterative methods; linear network analysis; convergent splittings; finite difference method; linear differential-algebraic equations; periodic constraint; periodic responses; spectral radius; waveform relaxation approach; Artificial intelligence; Circuit simulation; Convergence; Councils; Difference equations; Differential equations; Finite difference methods; Linear systems; Radio frequency; Systems engineering and theory;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location
Sydney, NSW
Print_ISBN
0-7803-6685-9
Type
conf
DOI
10.1109/ISCAS.2001.922080
Filename
922080
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