Numerical analysis of constrained Hamiltonian systems and the formal theory of differential equations1This work was supported by Deutsche Forschungsgemeinschaft.1

Werner M. Seiler

Mathematics and Computers in Simulation (MATCOM), 1998, vol. 45, issue 5, 561-576

Abstract: We show how the formal theory of differential equations provides a unifying framework for some aspects of constrained Hamiltonian systems and of the numerical analysis of differential algebraic equations, respectively. This concerns especially the Dirac algorithm for the construction of all constraints and various index concepts for differential algebraic equations.

Keywords: Constrained Hamiltonian systems; Dirac algorithm; Differential algebraic equations; Numerical integration; Index; Formal integrability; Involution; Formal theory of differential equations (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:45:y:1998:i:5:p:561-576

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