Title :
A waveform relaxation approach to determining periodic responses of linear differential-algebraic equations
Author :
Jiang, Yao-Lin ; Chen, Richard M M ; Wing, Omar
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;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.922080
