Title :
Convergence conditions of waveform relaxation methods for circuit simulation
Author :
Jiang, Yao-Lin ; Wang, Oliver
Author_Institution :
Sch. of Sci., Xi´´an Jiaotong Univ., China
fDate :
31 May-3 Jun 1998
Abstract :
For two general classes of circuits which are described by nonlinear differential-algebraic equations and linear differential-algebraic equations respectively, we present convergence conditions of the waveform relaxation methods, in which the proofs are based on the operator spectral theory and are identical. These convergence conditions reveal the types of splittings of the equations for which the waveform relaxation methods will converge
Keywords :
circuit analysis computing; convergence of numerical methods; iterative methods; linear differential equations; nonlinear differential equations; circuit simulation; convergence conditions; linear differential-algebraic equations; nonlinear differential-algebraic equations; operator spectral theory; waveform relaxation methods; Bipolar transistor circuits; Circuit simulation; Convergence; Coupling circuits; Delay; Differential algebraic equations; Differential equations; Iterative methods; Nonlinear equations; Relaxation methods;
Conference_Titel :
Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-4455-3
DOI :
10.1109/ISCAS.1998.705254
