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An unconditional stable general operator splitting method for transistor level transient analysis

Published: 24 January 2006 Publication History

Abstract

In this paper, we introduce a general operator splitting method for transient simulation of VLSI circuits. The proposed approach generates special partitions of the circuits and alternates the explicit and implicit integrations between the partitions. We prove that the method is unconditionally stable independent of the step size. The splitting scheme greatly reduces the nonzero fill-ins generated in direct methods like LU decomposition. Orders of magnitude speedup over Berkeley SPICE3 is observed for sets of circuits.

References

[1]
P. Feldmann, R. W. Freund, "Reduced-Order Modeling of Large Linear Subcircuits via a Block Lanczos Algorithm," DAC, pp. 376--80, 1995.
[2]
A. Odabasioglu, M. Celik, and L. T. Pileggi, "PRIMA: Passive Reduced-Order Interconnect Macromodeling Algorithm," ICCAD, 1997.
[3]
Z. Zhu, B. Yao, and C. K. Cheng, "Power Network Analysis Using an Adaptive Algebraic Multigrid Approach," DAC, pp. 105--108, 2003
[4]
J. N. Kozhaya, S. R. Nassif, F. N. Najm, "Multigrid-like Technique for Power Grid Analysis," ICCAD, pp. 480--487, 2001
[5]
T. Chen and C. Chen, "Efficient Large-Scale Power Grid Analysis Based on Preconditioned Krylov-Subspace Iterative Methods," DAC, pp. 559--562, 2001.
[6]
E. Acar, F. Dartu and L. T. Pileggi, "TETA: Transistor level Waveform Evaluation for Timing Analysis," IEEE Trans. on Computer-Aided Design, Vol. 21, No. 5, May 2002
[7]
K. A. Sakallah and S. W. Director,"SAMSON2: An Event Driven VLSI Circuit Simulator," IEEE Trans. on Computer-Aided Design of ICs and Sytems, vol. 4(4), pp. 668--684, October 1985.
[8]
www.nassda.com/hsim.html
[9]
www.synopsys.com/products/mixedsignal/nanosim
[10]
www.cadence.com/products/custom_ic/ultrasim/
[11]
Z. Li, C. J. Shi, "SILCA: Fast-Yet-Accurate Time-Domain Simulation of VLSI Circuits with Strong Parasitic Coupling Effects," ICCAD, pp.793--799, 2003
[12]
E. L. Wachspress and G. J. Habetler, "An alternating-direction-implicit iteration technique," J. Soc. Ind. and Appl. Math. 8, 403--424(1960)
[13]
F. Zheng, Z. Chen, J. Zhang, "Toward the development of a three-dimensional unconditionally stable finite-difference time-domain method," IEEE Tran. Microwave Theory and Techniques, vol 48, No. 9, Sep 2000
[14]
Y.-M Lee and C. P. Chen. "Power grid transient simulation in linear time based on transmission-line-modeling alternating-direction-implicit," ICCAD 75--80, 2001.
[15]
Y.-M Lee and C. P. Chen. "The power grid transient simulation in linear time on 3D alternating-direction-implicit," Date 2003
[16]
T. Namiki and K. Ito, "New FDTD algorithm free from the CFL condition restraint for a 2D-TE wave," IEEE Antennas Propagat. Symp. Dig., pp, 192--195, July 1999.
[17]
W. F. Ames, "Numerical Methods for Partial Differential Equations," 2nd ed. New York Academic Press, 1977
[18]
W. Sui, "Time-Domain Computer Analysis of Nonlinear Hybrid Systems," CRC Press, 2002.
[19]
W. H. Press, S. A. Teukolsky, W. T. Vetterling, "Numerical Recipe in C," 2nd ed. Cambridge University Press, 1992
[20]
W. Guo and S. X.-D. Tan, "Circuit level alternating-direction-implicit approach to transient analysis of power distribution networks," Proc. 5th International Conference on ASIC, Oct.2003. pp.246--249.

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  1. An unconditional stable general operator splitting method for transistor level transient analysis

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      Published In

      cover image ACM Conferences
      ASP-DAC '06: Proceedings of the 2006 Asia and South Pacific Design Automation Conference
      January 2006
      998 pages
      ISBN:0780394518

      Sponsors

      • IEEE Circuits and Systems Society
      • SIGDA: ACM Special Interest Group on Design Automation
      • IEICE ESS: Institute of Electronics, Information and Communication Engineers, Engineering Sciences Society
      • IPSJ SIG-SLDM: Information Processing Society of Japan, SIG System LSI Design Methodology

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      IEEE Press

      Publication History

      Published: 24 January 2006

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      • (2022)Transient Linear Circuit Analysis Using Finite Element TechniqueApplied Sciences10.3390/app1219955412:19(9554)Online publication date: 23-Sep-2022
      • (2016)From Circuit Theory, Simulation to SPICEDiego<\/sup>: A Matrix Exponential Approach for Time-Domain Analysis of Large-Scale CircuitsIEEE Circuits and Systems Magazine10.1109/MCAS.2016.254994716:2(16-34)Online publication date: Oct-2017
      • (2012)Time-Domain Analysis of Large-Scale Circuits by Matrix Exponential Method With Adaptive ControlIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2012.218939631:8(1180-1193)Online publication date: Aug-2012
      • (2012)Adaptive Time Stepping–Operator Splitting Strategy to Couple Implicit Numerical Hydrodynamic and Water Quality CodesJournal of Environmental Engineering10.1061/(ASCE)EE.1943-7870.0000547138:9(979-984)Online publication date: Sep-2012
      • (2011)Placement and beyond in honor of Ernest S. KuhProceedings of the 2011 international symposium on Physical design10.1145/1960397.1960402(5-8)Online publication date: 27-Mar-2011

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