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URN: urn:nbn:de:kobv:517-opus-15653
URL: http://opus.kobv.de/ubp/volltexte/2007/1565/

Leimkuhler, Benedict ; Reich, Sebastian

Symplectic integration of constrained Hamiltonian systems

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Kurzfassung in Englisch

A Hamiltonian system in potential form (formula in the original abstract) subject to smooth constraints on q can be viewed as a Hamiltonian system on a manifold, but numerical computations must be performed in Rn. In this paper methods which reduce "Hamiltonian differential algebraic equations" to ODEs in Euclidean space are examined. The authors study the construction of canonical parameterizations or local charts as well as methods based on the construction of ODE systems in the space in which the constraint manifold is embedded which preserve the constraint manifold as an invariant manifold. In each case, a Hamiltonian system of ordinary differential equations is produced. The stability of the constraint invariants and the behavior of the original Hamiltonian along solutions are investigated both numerically and analytically.

Freie Schlagwörter (Englisch): differential-algebraic equations , constrained Hamiltonian systems , canonical discretization schemes , symplectic methods

Institut 1: Institut für Mathematik

Institut 2: Extern

DDC-Sachgruppe: Mathematik

Dokumentart: c Postprint

Schriftenreihe: Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe, ISSN 1866-8372

Bandnummer: paper 032

Sprache: Englisch

Erstellungsjahr: 1994

Publikationsdatum: 16.11.2007

Bemerkung:
ﬁrst published in:
Mathematics of Computation - 63 (1994), 208, p. 589 - 605
ISSN: 0025-5718
Published by the American Mathematical Society.

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