Numerical Analysis of Constrained Hamiltonian Systems and the Formal Theory of Differential Equations

Reference: Mathematics and Computer in Simulation, 45 (1998) 561-576

Description: This paper is written in a rather informal way and presents essentially my point of view of DAEs (at the time of writing), with special emphasis on constrained Hamiltonian systems. It is a write-up of my invited talk at the IMACS conference on Applications of Computer Algebra in Linz 1996. It shows how the formal theory provides a unifying framework for some physical and numerical aspects of such systems. The results are only preliminary and restricted to finite-dimensional systems. An extension to partial differential equations can be found in [65] .

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