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

fYear

2000

fDate

2000

Firstpage

481

Lastpage

484

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/APCCAS.2000.913541

Filename

913541