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

School of Mathematics and Statistics

City University of Hong Kong
Chinese University of Hong Kong

Research output: Contribution to conference › Paper › peer-review

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.

Original language	English
Pages	481-484
Number of pages	4
State	Published - 2000
Event	2000 IEEE Asia-Pacific Conference on Circuits and Systems: Electronic Communication Systems - Tianjin, China Duration: 4 Dec 2000 → 6 Dec 2000

Conference

Conference	2000 IEEE Asia-Pacific Conference on Circuits and Systems: Electronic Communication Systems
Country/Territory	China
City	Tianjin
Period	4/12/00 → 6/12/00

Keywords

Circuit simulation
Differential-algebraic equations
Matrix splitting or circuit partition
Waveform relaxation

Cite this

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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",

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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

Abstract

Conference

Keywords

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