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On the Simplification of Nonlinear DAE Systems in Analog Circuit Design

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Computer Algebra in Scientific Computing CASC’99

Abstract

The behavior of nonlinear analog circuits is described by a set of differential algebraic equations (DAE). In this paper we present a symbolic simplification algorithm for such DAE systems which generates an approximative system. Besides the mathematical background we explain several local and global simplification techniques that axe applied to the system. Each modification step is controlled by an error calculation. To achieve a maximum number of simplifications and to avoid unnecessary modifications an optimized order, the so called ranking, is needed. We will present two different ranking methods and will show the results on an example.

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© 1999 Springer-Verlag Berlin Heidelberg

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Wichmann, T., Popp, R., Hartong, W., Hedrich, L. (1999). On the Simplification of Nonlinear DAE Systems in Analog Circuit Design. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing CASC’99. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60218-4_37

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  • DOI: https://doi.org/10.1007/978-3-642-60218-4_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66047-7

  • Online ISBN: 978-3-642-60218-4

  • eBook Packages: Springer Book Archive

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