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Abstract: In this paper we apply geometric integrators of the RKMK type to the problem of integrating Lie{Poisson systems numerically. By using the coadjoint action of the Lie group G on the dual Lie algebra g to advance the numerical ow, we devise methods of arbitrary order that automatically stay on the coadjoint orbits. First integrals known as Casimirs are retained to machine accuracy by the numerical algorithm. Within the proposed class of methods we nd integrators that also conserve the... (Update)
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BibTeX entry: (Update)
K. Eng, S. Faltinsen, Numerical integration of Lie-Poisson systems while preserving coadjoint orbits and energy, SIAM J. Numer. Anal. 39 (1) (2001) 128--145. http://citeseer.ist.psu.edu/686845.html More
@misc{ eng01numerical,
author = "K. Eng and S. Faltinsen",
title = "Numerical integration of Lie-Poisson systems while preserving coadjoint
orbits and energy",
text = "K. Eng, S. Faltinsen, Numerical integration of Lie-Poisson systems while
preserving coadjoint orbits and energy, SIAM J. Numer. Anal. 39 (1) (2001)
128--145.",
year = "2001",
url = "citeseer.ist.psu.edu/686845.html" }
Citations (may not include all citations):68 and Their Representations (context) - Varadarajan, Groups et al. - 1984
52 Numerical Hamiltonian Problems (context) - Sanz-Serna, Calvo - 1994
33 Backward error analysis for numerical integrators - Reich - 1999
32 Topological Methods in Hydrodynamics (context) - Arnold, Khesin - 1998
25 Approximating the exponential from a Lie algebra to a Lie gr.. (context) - Celledoni, Iserles
21 Conserving algorithms for the dynamics of Hamiltonian system.. (context) - Lewis, Simo - 1994
21 Reversible long-term integration with variable step sizes - Hairer, Stoffer - 1997
20 in Texts in Applied Mathematics (context) - Marsden, Ratiu et al. - 1999
19 Geometric integration using discrete gradients - McLachlan, Quispel et al. - 1999
17 High order Runge{Kutta methods on manifolds (context) - Munthe-Kaas - 1999
16 The Cayley transform in the numerical solution of unitary di.. (context) - Diele, Lopez et al. - 1998
11 Time integration and discrete Hamiltonian systems (context) - Gonzalez - 1996
10 The rate of error growth in Hamiltonian-conserving integrato.. - Estep, Stuart - 1995
9 On Cayley-transform methods for the discretization of Lie-gr.. (context) - Iserles
8 Adjoint and selfadjoint Lie-group methods - Zanna, Eng et al.
8 Backward Error Analysis for Lie-Group Methods - Faltinsen
7 Quadrature methods based on the Cayley transform - Marthinsen, Owren
4 Geometric integration: numerical solution of di erential equ.. (context) - Budd, Iserles - 1999
4 Finite-mode analogs of 2D ideal hydrodynamics: Coadjoint orb.. (context) - Zeitlin - 1991
3 the construction of geometric integrators in the RKMK class - Eng - 2000
3 Finite dimensional Lie{Poisson approximations to Vlasov{ Poi.. (context) - Scovel, Weinstein - 1994
2 Multistep methods integrating ordinary di erential equations.. (context) - Faltinsen, Marthinsen et al.
2 Jacobi Theory and Lie{Poisson Integrators (context) - Ge, Marsden et al. - 1988
2 the numerical integration of ODE's by symmetric composition .. (context) - McLachlan - 1995
1 Physical Review Letters (context) - McLachlan, integration et al. - 1993
1 Submitted to Nonlinearity (context) - Marsden, Pekarsky et al.
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