Simultaneous Step-Size and Path Control for Efficient Transient Noise Analysis
Noise in electronic components is a random phenomenon that can adversely affect the desired operation of a circuit. Transient noise analysis is designed to consider noise effects in circuit simulation. Taking noise into account by means of Gaussian white noise currents, mathematical modelling leads to stochastic differential algebraic equations (SDAEs) with a large number of small noise sources. Their simulation requires an efficient numerical time integration by mean-square convergent numerical methods. As efficient approaches for their integration we discuss adaptive linear multi-step methods, together with a new step-size and path selection control strategy. Numerical experiments on industrial real-life applications illustrate the theoretical findings.
KeywordsLocal Error Noise Intensity Solution Path Circuit Simulation Path Control
Unable to display preview. Download preview PDF.
- 4.Sickenberger, T.: Efficient Transient Noise Analysis in Circuit Simulation. Ph.D. thesis Humboldt Universität zu Berlin, Logos Verlag, Berlin (2008)Google Scholar
- 8.Sickenberger, T., Weinmüller, E., Winkler, R.: Local error estimates for moderately smooth problems: Part II – SDEs and SDAEs. To appear in BIT Numerical MathematicsGoogle Scholar
- 12.Römisch, W., Sickenberger, Th.: On generating a solution path tree for efficient step-size control. In preparation.Google Scholar
- 13.Dupačová J., Gröwe-Kuska, N., Römisch, W.: Scenario reduction in stochastic programming. Math. Program., Ser. A 95, 493–511 (2003)Google Scholar