DocumentCode
1425565
Title
Convergence analysis of waveform relaxation for nonlinear differential-algebraic equations of index one
Author
Jiang, Yao-Lin ; Chen, Richard M M ; Wing, Omar
Author_Institution
Inst. of Inf. & Syst. Sci., Xi´´an Jiaotong Univ., China
Volume
47
Issue
11
fYear
2000
fDate
11/1/2000 12:00:00 AM
Firstpage
1639
Lastpage
1645
Abstract
We give a new and simple convergence theorem on the waveform relaxation (WR) solution for a system of nonlinear differential-algebraic equations of index one. We show that if the norms of certain matrices derived from the Jacobians of the system functions are less than one, then the WR solution converges. The new sufficient condition includes previously reported conditions as special cases. Examples are given to confirm the theoretical analysis
Keywords
circuit simulation; convergence of numerical methods; iterative methods; nonlinear differential equations; nonlinear network analysis; Jacobians; convergence analysis; nonlinear differential-algebraic equations; system functions; waveform relaxation; Analytical models; Convergence; Councils; Differential equations; Electronic circuits; Jacobian matrices; Nonlinear equations; Sufficient conditions; Transient analysis; Very large scale integration;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.895332
Filename
895332
Link To Document