Publikation: Behavior of Runge-Kutta Discretizations near equlibria of Index 2 Differential Algebraic Systems
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2001
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Schropp, Johannes
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Konstanzer Schriften in Mathematik und Informatik
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We analyze Runge-Kutta discretizations applied to index 2 differential algebraic equations (DAE's) near equilibria. We compare the geometric properties of the numerical and the exact solutions. It is shown that projected and half-explicit Runge-Kutta methods reproduce the qualitative features of the continuous system correctly. The proof combines scaling techniques for index 2 differential algebraic equations with some invariant manifold results of Schropp and classical results for discretized ordinary differential equations of Garay.
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510 Mathematik
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SCHROPP, Johannes, 2001. Behavior of Runge-Kutta Discretizations near equlibria of Index 2 Differential Algebraic SystemsBibTex
@unpublished{Schropp2001Behav-713, year={2001}, title={Behavior of Runge-Kutta Discretizations near equlibria of Index 2 Differential Algebraic Systems}, author={Schropp, Johannes} }
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