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:
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Kiichi URAHAMA, "Sufficient Conditions for a Generalized Waveform Relaxation to Converge Locally" in IEICE TRANSACTIONS on transactions,
vol. E70-E, no. 2, pp. 106-109, February 1987, doi: .
Abstract: 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:
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e70-e_2_106/_p
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@ARTICLE{e70-e_2_106,
author={Kiichi URAHAMA, },
journal={IEICE TRANSACTIONS on transactions},
title={Sufficient Conditions for a Generalized Waveform Relaxation to Converge Locally},
year={1987},
volume={E70-E},
number={2},
pages={106-109},
abstract={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:
keywords={},
doi={},
ISSN={},
month={February},}
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TY - JOUR
TI - Sufficient Conditions for a Generalized Waveform Relaxation to Converge Locally
T2 - IEICE TRANSACTIONS on transactions
SP - 106
EP - 109
AU - Kiichi URAHAMA
PY - 1987
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E70-E
IS - 2
JA - IEICE TRANSACTIONS on transactions
Y1 - February 1987
AB - 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:
ER -