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Index reduction for differential-algebraic equations by minimal extension

Kunkel, Peter; Mehrmann, Volker

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

In this paper a new index reduction technique is discussed for the treatment of differential-algebraic systems for which extra structural information is available. Based on this information reduced derivative arrays are formed and instead of using expensive subspace computations the index reduction is obtained by introducing new variables. The new approach is demonstrated for several important classes of differential-algebraic systems, where the structural information is available. These include multibody systems and circuit simulation problems. The effectiveness of the new approach is demonstrated via numerical examples.