Simulation of integrated circuits: Numerical techniques

Authors:
Peter Lory
Affiliations:
Mathematisches Institut, Technische Universität München Postfach 20 24 20, D-8000 München 2, West-Germany
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1988

Citing 4
Cited 0

Relaxation techniques for the simulation of VLSI circuits

Relaxation techniques for the simulation of VLSI circuits
Numerical solution of nonlinear differential equations with algebraic constraints I: Convergence results for backward differentiation formulas

Mathematics of Computation
Numerical Initial Value Problems in Ordinary Differential Equations

Numerical Initial Value Problems in Ordinary Differential Equations
Reducing the bandwidth of sparse symmetric matrices

ACM '69 Proceedings of the 1969 24th national conference

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Abstract

Relaxation-based techniques for the transient analysis of large-scale integrated circuits are promising candidates for a new generation of circuit simulators. The present note investigates the convergence of the discretized waveform relaxation. It is demonstrated that a SOR technique has the potential of beeing significantly faster than the conventional waveform relaxation Gauss-Seidel method. The determination of the optimal relaxation parameter is decisive and is discussed for the case of a general linear model problem.