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

Content Provider	IEEE Xplore Digital Library
Author	Brachtendorf, H.G. Bunse-Gerstner, A. Lang, B. Laur, R.
Copyright Year	2007
Description	Author affiliation: Univ. of Appl. Sci. of Upper Austria, Wels (Brachtendorf, H.G.)
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
Starting Page	509
Ending Page	512
File Size	317182
Page Count	4
File Format	PDF
ISBN	1424409209
DOI	10.1109/ISCAS.2007.378682
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-05-27
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Inverse problems Circuit analysis Voltage Radio frequency Partial differential equations Electronic circuits Communication systems Circuit simulation Oscillators Runtime
Content Type	Text
Resource Type	Article

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