Results 91 to 100 of about 192 (135)

Exponentially fitted symplectic integrator

Physical Review E, 2003
In this paper a procedure for constructing efficient symplectic integrators for Hamiltonian problems is introduced. This procedure is based on the combination of the exponential fitting technique and symplecticness conditions. Based on this procedure, a simple modified Runge-Kutta-Nyström second-order algebraic exponentially fitted method is developed.
T E, Simos, Jesus, Vigo-Aguiar
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Symplectic Integration with Processing: A General Study

SIAM Journal on Scientific Computing, 1999
Symplectic integration with processing is studied. More specifically the authors investigate the number of conditions required by the operators \(K\) and \(P\) in symplectic integrators with processing, given by \(e^{P} e^{-h K} e^{-P}\). The above number is determined for a Hamiltonian of the form \(H=A+B\).
Sergio Blanes, Fernando Casas, José Ros
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Energy preserving symplectic integrators

Journal of Numerical Mathematics, 2011
Summary: Three one-parameter, eighth-order families of symplectic integrators are presented. They are based on the Strang splitting, the Forest-Ruth construction, and the Zassenhaus formula, respectively. In each time-step, a free parameter is adopted to preserve energy exactly in this step.
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Symplectic integrators: An introduction

American Journal of Physics, 2005
Symplectic integrators very nearly conserve the total energy and are particularly useful when treating long times. We demonstrate some of the properties of these integrators by exploring the structure of first-, second-, and fourth-order symplectic integrators and apply them to the simple harmonic oscillator.
Denis Donnelly, Edwin Rogers
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On correctors of symplectic integrators

Chinese Astronomy and Astrophysics, 2003
Abstract An intensive discussion is given here with numerical illustration on the symplectic correctors proposed by Wisdom et al. (1996). A simple method is given for deriving the first and second order correctors of any symplectic integrators in terms of Lie series for the general case, in which the Hamiltonian can be separated into a main ...
null Wu Xin, null Huang Tian-yi, null Wan Xiao-sheng   +2 more
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Existence of formal integrals of symplectic integrators

Celestial Mechanics & Dynamical Astronomy, 1995
The authors give a recurrent method of solving the formal integrals of some symplectic integrators. In the particular case of the \(N\)-body problem they construct explicitly a symplectic integrator which also preserves the energy and the classical integrals of motion, i.e., the components of the angular momentum.
Liao, Xinhao, Liu, Lin
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Integrable deformations of integrable symplectic maps

Physics Letters A, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xia, Baoqiang, Zhou, Ruguang
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Quasi-symplectic stochastic integration

SPIE Proceedings, 2004
Two specialized algorithms for the numerical integration of the equations of motion of a Brownian walker obeying detailed balance are introduced. The algorithms become symplectic in the appropriate limits, and reproduce the equilibrium distributions to some higher order in the integration time step.
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Symplectic Integration

2010
International Conference on Open Repositories : Proceedings, The 5th International Conference on Open Repositories (OR2010), Madrid, Spain, 6-9 July ...
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Explicit Symplectic Integrator for Rotating Satellites

Celestial Mechanics and Dynamical Astronomy, 2000
The authors present two approaches to the construction of an explicit symplectic integrator for the problem of satellite's planar rotation, based on a parameter of the satellite's figure and assuming small eccentricity of the orbit. The integrator, based on the WH approach, involves the evaluation of elliptic functions, thus increasing the ...
Breiter, Sławomir, Buciora, Marcin
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