Title :
A convergence theorem on waveform relaxation for nonlinear circuits in circuit simulation
Author :
Jiang, Yao-Lin ; Chen, Richard M M ; Wing, Omar
Author_Institution :
Inst. of Inf. & Syst. Sci., Xi´´an Jiaotong Univ., China
Abstract :
We give a simple convergence theorem on waveform relaxation (WR) solutions of circuits. The circuits considered here are described by nonlinear differential-algebraic equations (DAEs). The sufficient condition, which includes previously reported conditions as special cases, states that the WR process converges if the norms of certain matrices derived from the Jacobians of the system functions are less than one. Numerical experiments are provided to verify the theoretical result of this paper
Keywords :
circuit simulation; convergence of numerical methods; iterative methods; nonlinear differential equations; nonlinear network analysis; Jacobians; circuit simulation; convergence theorem; nonlinear differential-algebraic equations; numerical experiments; waveform relaxation; Circuit simulation; Convergence; Differential algebraic equations; Electronic circuits; Gaussian processes; Jacobian matrices; Nonlinear circuits; Nonlinear equations; Sufficient conditions; Very large scale integration;
Conference_Titel :
Circuits and Systems, 2000. IEEE APCCAS 2000. The 2000 IEEE Asia-Pacific Conference on
Conference_Location :
Tianjin
Print_ISBN :
0-7803-6253-5
DOI :
10.1109/APCCAS.2000.913541
