Abstract
For quasilinear differential-algebraic equations the index is defined in a geometrical way following S.REICH. An index reducing method is investigated and applied to the circuit equations. In the index-1-case an explicit ordinary differential equation system arises, which slightly modified can be used for the DC-analysis by homotopy, too.
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Griepentrog, E. (1990). The Index of Differential-Algebraic Equations and its Significance for the Circuit Simulation. In: Bank, R.E., Merten, K., Bulirsch, R. (eds) Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 93. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5698-0_2
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DOI: https://doi.org/10.1007/978-3-0348-5698-0_2
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