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 introduced WR algorithms in particular cases. The following two sufficient conditions for the generalized WR method to converge locally are given: i) the capacitance matrix of the circuit is block strictly diagonally dominant and a time-steplength is sufficiently small; ii) the conductance matrix of the circuit has the same property and a time-steplength is sufficiently large.
|Number of pages||4|
|Journal||Transactions of the Institute of Electronics, Information and Communication Engineers, Section E (|
|Publication status||Published - Feb 1 1987|
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