Publikation: Attracting sets in index 2 Differential Algebraic Equations and in their Runge-Kutta Discretizations
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2001
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We analyze Runge-Kutta discretizations applied to index 2 differential algebraic equations (DAE's) in the vicinity of attracting sets. We compare the geometric properties of the numerical and the exact solutions and show that projected and half-explicit Runge-Kutta methods reproduce the qualitative features of the continuous system correctly. The proof combines invariant manifold results of Schropp and classical results for discretized ordinary differential equations of Kloeden, Lorenz.
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510 Mathematik
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SCHROPP, Johannes, 2001. Attracting sets in index 2 Differential Algebraic Equations and in their Runge-Kutta DiscretizationsBibTex
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