An inverse method of characteristics for analyzing circuits with widely separated time-scales

Hans Georg Brachtendorf, Angelika Bunse-Gerstner, Barbara Lang, Rainer Laur

Research output: Contribution to journalConference articlepeer-review

Abstract

Widely separated time-scales occur in many radio-frequency (RF) circuits, making the analysis with standard numerical methods difficult and costly. Low and high frequency signals are often superimposed enforcing very small time-steps over a long time-period in the computation of the numerical solution. Hence, classical numerical techniques result into long runtimes. In this paper we present a general method of embedding the underlying system of ordinary differential-algebraic equations (DAEs) in a system of partial differential equations (PDEs). such that a restriction of the solution of the PDEs onto a suitable path yields the desired solution of the DAEs. This allows to treat contributions with different frequencies separately in different dimensions, each dimension representing a time-scale. Along the coordinates the solution of the PDEs is typically very smooth, making numerical techniques for the solution of PDEs highly efficient. Here, theoretical results as well as new numerical methods are presented.

Original languageEnglish
Article number4252683
Pages (from-to)509-512
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
DOIs
Publication statusPublished - 2007
Externally publishedYes
Event2007 IEEE International Symposium on Circuits and Systems, ISCAS 2007 - New Orleans, LA, United States
Duration: 27 May 200730 May 2007

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