Publikation: Invariant manifolds in differential algebraic equations of index 3 and in their Runge-Kutta discretizations
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2007
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Zusammenfassung
In the present paper we analyze the geometric properties of projected Runge-Kutta methods when applied to index 3 differential algebraic equations in Hessenberg form. These methods admit the integration of index 3 DAEs without any drift effects. We show that the phase portrait is well reproduced in its relationship between space and control variables.
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Fachgebiet (DDC)
510 Mathematik
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Differential-Algebraische Gleichungen, Runge-Kutta Verfahren, invariante Mannigfaltigkeiten, differential algebraic equations, projected Runge-Kutta methods, invariant manifolds
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SCHROPP, Johannes, 2007. Invariant manifolds in differential algebraic equations of index 3 and in their Runge-Kutta discretizationsBibTex
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