A convergence theorem on waveform relaxation for nonlinear circuits in circuit simulation

Yao Lin Jiang; Richard M.M. Chen; Omar Wing

A convergence theorem on waveform relaxation for nonlinear circuits in circuit simulation

Yao Lin Jiang
, Richard M.M. Chen
, Omar Wing

数学与统计学院

City University of Hong Kong
Chinese University of Hong Kong

科研成果: 会议稿件 › 论文 › 同行评审

摘要

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.

源语言	英语
页	481-484
页数	4
出版状态	已出版 - 2000
活动	2000 IEEE Asia-Pacific Conference on Circuits and Systems: Electronic Communication Systems - Tianjin, 中国期限: 4 12月 2000 → 6 12月 2000

会议

会议	2000 IEEE Asia-Pacific Conference on Circuits and Systems: Electronic Communication Systems
国家/地区	中国
市	Tianjin
时期	4/12/00 → 6/12/00

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@conference{fcdaf4f49fcf4188b60055b630968b02,

title = "A convergence theorem on waveform relaxation for nonlinear circuits in circuit simulation",

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, Differential-algebraic equations, Matrix splitting or circuit partition, Waveform relaxation",

author = "Jiang, \{Yao Lin\} and Chen, \{Richard M.M.\} and Omar Wing",

year = "2000",

language = "英语",

pages = "481--484",

note = "2000 IEEE Asia-Pacific Conference on Circuits and Systems: Electronic Communication Systems ; Conference date: 04-12-2000 Through 06-12-2000",

}

TY - CONF

T1 - A convergence theorem on waveform relaxation for nonlinear circuits in circuit simulation

AU - Jiang, Yao Lin

AU - Chen, Richard M.M.

AU - Wing, Omar

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

KW - Circuit simulation

KW - Differential-algebraic equations

KW - Matrix splitting or circuit partition

KW - Waveform relaxation

UR - https://www.scopus.com/pages/publications/2342594506

M3 - 论文

AN - SCOPUS:2342594506

SP - 481

EP - 484

T2 - 2000 IEEE Asia-Pacific Conference on Circuits and Systems: Electronic Communication Systems

Y2 - 4 December 2000 through 6 December 2000

ER -

A convergence theorem on waveform relaxation for nonlinear circuits in circuit simulation

摘要

会议

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