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Sufficient Conditions for a Generalized Waveform Relaxation to Converge Locally

Kiichi URAHAMA

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Summary :

This paper investigates convergence properties of a circuit simulation technique called Waveform Relaxation (WR). A general formulation of a family of WR algorithms called a generalized WR is introduced. This formulation reduces to some hitherto introduced WR algorithms in particular cases. The following two sufficient conditions for the generalized WR method to converge locally are given: ) the capacitance matrix of the circuit is block strictly diagonally dominant and a time-steplength is sufficiently small; ) the conductance matrix of the circuit has the same property and a time-steplength is sufficiently large.

Publication
IEICE TRANSACTIONS on transactions Vol.E70-E No.2 pp.106-109
Publication Date
1987/02/25
Publicized
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DOI
Type of Manuscript
PAPER
Category
General

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