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Symplectic integrators for index one constraints
Institute of Fundamental Sciences, Massey University, New Zealand.
Department of Mathematical Sciences, Chalmers University of Technology, Göteburg, Sweden.
Department of Mathematical Sciences, NTNU, Trondheim, Norway.
Institute of Fundamental Sciences, Massey University, New Zealand.
(English)In: SIAM Journal on Scientific Computing, ISSN 1064-8275, E-ISSN 1095-7197Article in journal (Refereed) Accepted
Abstract [en]

We show that symplectic Runge–Kutta methods provide effective symplectic integratorsfor Hamiltonian systems with index one constraints. These include the Hamiltonian descriptionof variational problems subject to position and velocity constraints nondegenerate in the velocities,such as those arising in sub-Riemannian geometry and control theory.

Keyword [en]
Symplectic integrators, differential-algebraic equations, index one systems, variationalnonholonomic equations, vakonomic equations, optimal control problems
National Category
Computational Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-79403OAI: oai:DiVA.org:umu-79403DiVA: diva2:641406
Available from: 2013-08-16 Created: 2013-08-16 Last updated: 2017-12-06Bibliographically approved

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Symplectic integrators for index one constraints(894 kB)70 downloads
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http://arxiv.org/abs/1207.4250

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