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Consistent initial values for DAE systems in circuit simulation

By D. Estévez Schwarz and D. Est&apos


One of the difficulties of the numerical integration methods for differential -algebraic equations (DAEs) is computing consistent initial values before starting the integration, i.e. , calculating values that satisfy the given algebraic constraints as well as the hidden constraints if higher index problems are considered. This paper presents an approach to calculate consistent initial values for index-2 DAEs starting up from possibly inconsistent ones. Firstly, the idea is exposed for linear DAEs and then it is shown how the results can be applied to those systems arising from modified nodal analysis (MNA) in circuit simulation. This article starts up from [8] and [6]. Several denotations and results we use were introduced there in more detail. Key words: Consistent initial values; consistent initialization; differentialalgebraic equation; DAE; index; circuit simulation; modified nodal analysis; MNA; structural properties. AMS Subject Classification: 94C05, 65L05. 1 Introduction Rou..

Topics: equation, DAE
Year: 1999
OAI identifier: oai:CiteSeerX.psu:
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