On consistent initial conditions for circuit DAEs with higher index

Hans Georg Brachtendorf; Rainer Laur

doi:10.1109/ISCAS.2000.858716

On consistent initial conditions for circuit DAEs with higher index

Hans Georg Brachtendorf, Rainer Laur

Research output: Contribution to journal › Conference article › peer-review

1 Citation (Scopus)

Abstract

In this paper we study efficient numerical methods for obtaining consistent initial conditions for systems of differential-algebraic equations (DAEs) with higher index arising e.g. from electronic circuits. We show that the class of Gear's backward differentiation formulas, unlike other multi-step techniques, are useful means for obtaining consistent initial conditions when carefully implemented. Because the method employs sparse matrix techniques it is efficient even for large circuits. The numerical experiments suggest that the method works reliably even for index-3 DAEs.

Original language	English
Pages (from-to)	IV-173-IV-176
Number of pages	4
Journal	Proceedings - IEEE International Symposium on Circuits and Systems
Volume	4
DOIs	https://doi.org/10.1109/ISCAS.2000.858716
Publication status	Published - 2000
Externally published	Yes
Event	Proceedings of the IEEE 2000 Internaitonal Symposium on Circuits and Systems - Geneva, Switz Duration: 28 May 2000 → 31 May 2000

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10.1109/ISCAS.2000.858716

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abstract = "In this paper we study efficient numerical methods for obtaining consistent initial conditions for systems of differential-algebraic equations (DAEs) with higher index arising e.g. from electronic circuits. We show that the class of Gear's backward differentiation formulas, unlike other multi-step techniques, are useful means for obtaining consistent initial conditions when carefully implemented. Because the method employs sparse matrix techniques it is efficient even for large circuits. The numerical experiments suggest that the method works reliably even for index-3 DAEs.",

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AU - Laur, Rainer

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AB - In this paper we study efficient numerical methods for obtaining consistent initial conditions for systems of differential-algebraic equations (DAEs) with higher index arising e.g. from electronic circuits. We show that the class of Gear's backward differentiation formulas, unlike other multi-step techniques, are useful means for obtaining consistent initial conditions when carefully implemented. Because the method employs sparse matrix techniques it is efficient even for large circuits. The numerical experiments suggest that the method works reliably even for index-3 DAEs.

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U2 - 10.1109/ISCAS.2000.858716

DO - 10.1109/ISCAS.2000.858716

M3 - Conference article

AN - SCOPUS:0033712147

SN - 0271-4310

VL - 4

SP - IV-173-IV-176

JO - Proceedings - IEEE International Symposium on Circuits and Systems

JF - Proceedings - IEEE International Symposium on Circuits and Systems

T2 - Proceedings of the IEEE 2000 Internaitonal Symposium on Circuits and Systems

Y2 - 28 May 2000 through 31 May 2000

ER -

On consistent initial conditions for circuit DAEs with higher index

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