Variational and Geometric Structures of Discrete Dirac Mechanics

In this paper, we develop the theoretical foundations of discrete Dirac mechanics, that is, discrete mechanics of degenerate Lagrangian/Hamiltonian systems with constraints. We first construct discrete analogues of Tulczyjew’s triple and induced Dirac structures by considering the geometry of symple...

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Bibliographic Details
Published in:	Foundations of computational mathematics Vol. 11; no. 5; pp. 529 - 562
Main Authors:	Leok, Melvin, Ohsawa, Tomoki
Format:	Journal Article
Language:	English
Published:	New York Springer-Verlag 01.10.2011 Springer Nature B.V
Subjects:	Applications of Mathematics Categories Computational mathematics Computer Science Derivation Economics Foundations Geometry Integrators Lagrange multiplier Linear and Multilinear Algebras Math Applications in Computer Science Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Matrix Theory Numerical Analysis Variational principles 65P10 Lagrange–Dirac systems 37J60 Dirac structures 70H45 70F25 Geometric integration
ISSN:	1615-3375, 1615-3383
Online Access:	Get full text
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