A symplectic integrator for riemannian manifolds

Summary The configuration spaces of mechanical systems usually support Riemannian metrics which have explicitly solvable geodesic flows and parallel transport operators. While not of primary interest, such metrics can be used to generate integration algorithms by using the known parallel transport t...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Leimkuhler, B. [verfasserIn] Patrick, G. W.

Format:	Artikel
Sprache:	Englisch

Erschienen:	1996

Schlagwörter:	Riemannian Manifold Symmetric Space Configuration Space Riemannian Geometry Exponential Mapping

Anmerkung:	© Springer-Verlag New York Inc. 1996

Übergeordnetes Werk:	Enthalten in: Journal of nonlinear science - Springer-Verlag, 1991, 6(1996), 4 vom: Juli, Seite 367-384
Übergeordnetes Werk:	volume:6 ; year:1996 ; number:4 ; month:07 ; pages:367-384

Links:	Volltext

DOI / URN:	10.1007/BF02433475

Katalog-ID:	OLC2057903672

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author	Leimkuhler, B.
spellingShingle	Leimkuhler, B. ddc 530 ssgn 11 misc Riemannian Manifold misc Symmetric Space misc Configuration Space misc Riemannian Geometry misc Exponential Mapping A symplectic integrator for riemannian manifolds
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title_auth	A symplectic integrator for riemannian manifolds
abstract	Summary The configuration spaces of mechanical systems usually support Riemannian metrics which have explicitly solvable geodesic flows and parallel transport operators. While not of primary interest, such metrics can be used to generate integration algorithms by using the known parallel transport to evolve points in velocity phase space. © Springer-Verlag New York Inc. 1996
abstractGer	Summary The configuration spaces of mechanical systems usually support Riemannian metrics which have explicitly solvable geodesic flows and parallel transport operators. While not of primary interest, such metrics can be used to generate integration algorithms by using the known parallel transport to evolve points in velocity phase space. © Springer-Verlag New York Inc. 1996
abstract_unstemmed	Summary The configuration spaces of mechanical systems usually support Riemannian metrics which have explicitly solvable geodesic flows and parallel transport operators. While not of primary interest, such metrics can be used to generate integration algorithms by using the known parallel transport to evolve points in velocity phase space. © Springer-Verlag New York Inc. 1996
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title_short	A symplectic integrator for riemannian manifolds
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A symplectic integrator for riemannian manifolds

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