Numerical Stability and Multirate Effect in Waveform Relaxation Algorithm with Under Relaxation Technique
Summary :
This paper describes the waveform relaxation (WR) algorithm with the under relaxation method based on the virtual state formulation (VSF) technique and the effect of multirate behavior in this algorithm. First, we present the virtual state relaxation method using VSF technique. Next, we introduce the VSF method into WR algorithm in order to exploit the multirate behavior. Furthermore, we construct the relaxation-based circuit simulator DESIRE2 and apply this simulator to the transient analysis of MOS circuits. Finally, we show that the present technique enables to use efficiently the multirate integration method in VSR and reduce the total simulation time without losing the waveform accuracy.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E75-A No.6 pp.685-690
- Publication Date
- 1992/06/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section of Papers Selected from 1991 Joint Technical Conference on Circuits/Systems, Computers and Communications (JTC-CSCC '91))
- Category
- Combinational/Numerical/Graphic Algorithms
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Koichi HAYASHI, Hideki ASAI, "Numerical Stability and Multirate Effect in Waveform Relaxation Algorithm with Under Relaxation Technique" in IEICE TRANSACTIONS on Fundamentals,
vol. E75-A, no. 6, pp. 685-690, June 1992, doi: .
Abstract: This paper describes the waveform relaxation (WR) algorithm with the under relaxation method based on the virtual state formulation (VSF) technique and the effect of multirate behavior in this algorithm. First, we present the virtual state relaxation method using VSF technique. Next, we introduce the VSF method into WR algorithm in order to exploit the multirate behavior. Furthermore, we construct the relaxation-based circuit simulator DESIRE2 and apply this simulator to the transient analysis of MOS circuits. Finally, we show that the present technique enables to use efficiently the multirate integration method in VSR and reduce the total simulation time without losing the waveform accuracy.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e75-a_6_685/_p
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@ARTICLE{e75-a_6_685,
author={Koichi HAYASHI, Hideki ASAI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Numerical Stability and Multirate Effect in Waveform Relaxation Algorithm with Under Relaxation Technique},
year={1992},
volume={E75-A},
number={6},
pages={685-690},
abstract={This paper describes the waveform relaxation (WR) algorithm with the under relaxation method based on the virtual state formulation (VSF) technique and the effect of multirate behavior in this algorithm. First, we present the virtual state relaxation method using VSF technique. Next, we introduce the VSF method into WR algorithm in order to exploit the multirate behavior. Furthermore, we construct the relaxation-based circuit simulator DESIRE2 and apply this simulator to the transient analysis of MOS circuits. Finally, we show that the present technique enables to use efficiently the multirate integration method in VSR and reduce the total simulation time without losing the waveform accuracy.},
keywords={},
doi={},
ISSN={},
month={June},}
Copy
TY - JOUR
TI - Numerical Stability and Multirate Effect in Waveform Relaxation Algorithm with Under Relaxation Technique
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 685
EP - 690
AU - Koichi HAYASHI
AU - Hideki ASAI
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E75-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 1992
AB - This paper describes the waveform relaxation (WR) algorithm with the under relaxation method based on the virtual state formulation (VSF) technique and the effect of multirate behavior in this algorithm. First, we present the virtual state relaxation method using VSF technique. Next, we introduce the VSF method into WR algorithm in order to exploit the multirate behavior. Furthermore, we construct the relaxation-based circuit simulator DESIRE2 and apply this simulator to the transient analysis of MOS circuits. Finally, we show that the present technique enables to use efficiently the multirate integration method in VSR and reduce the total simulation time without losing the waveform accuracy.
ER -
English
