Results 131 to 140 of about 1,079 (166)

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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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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Adaptive Symplectic and Reversible Integrators

1999
The so-called structure-preserving methods which reproduce the fundamental properties like symplecticness, time reversibility, volume and energy preservation of the original model of the underlying physical problem became very important in recent years.
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Symplectic integrators and the conservation of angular momentum

Journal of Computational Chemistry, 1995
AbstractIn this article we observe that generally symplectic integrators conserve angular momentum exactly, whereas nonsymplectic integrators do not. We show that this observation extends to multiple timesteps and to constrained dynamics. Both of these devices are important for efficient molecular dynamics simulations.
Mei-Qing Zhang, Robert D. Skeel
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High-order symplectic integration: an assessment

Computer Physics Communications, 2000
Some new symplectic integration routines of sixth- and eighth-order, applied to the integration of classical trajectories for a triatomic model molecule, are considered. This system has mixed regular and chaotic phase space. Especialy for long-lived trajectories, which are trapped in the stochastic layers of the phase space, the eighth-order ...
Schlier, Ch., Seiter, A.
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Generalized Symplectic Integrators

Volume 6: 19th International Conference on Micro- and Nanosystems (MNS); 21st International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC); 37th Conference on Mechanical Vibration and Sound (VIB); 38th Fluid Power and Motion Control Symposium (FPMC)
Abstract Symplectic integrators offer vastly superior performance over traditional numerical techniques for conservative dynamical systems, but their application to dissipative systems is inherently difficult due to dissipative systems’ lack of symplectic structure.
Robert L. Chapman, Tyler M. Kelly, Joseph S. Gaglione, Howard A. Cushman, Sutthikiat Sungkeetanon, Bryan MacGavin, Adam C. DeVoria, Nathan J. Washuta, John W. Sanders   +8 more
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Symplectic integration schemes for the ABC flow

Computing, 1996
The numerical solution of Arnold-Beltrami-Childress (ABC) flows is investigated. Symplectic integration schemes for the ABC flows are developed. These schemes are explicit and a comparison with a fourth-order Runge-Kutta method is presented. Numerical tests show that the proposed symplectic schemes are more efficient for the calculation of stable ...
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Efficient Symplectic Integration of Satellite Orbits

Celestial Mechanics and Dynamical Astronomy, 1999
The author discusses the properties of a class of time transformations for perturbed two-body problems. Symplectic composition methods (``generalized leapfrog'') are applied to the arising equations of motion, and numerical results are reported for some toy models.
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