Results 101 to 110 of about 192 (135)
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Adaptive Symplectic and Reversible Integrators
1999The 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, 1995AbstractIn 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, 2000Some 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 +8 more
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Symplectic integration schemes for the ABC flow
Computing, 1996The 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, 1999The 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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Energy Conserving, Liouville, and Symplectic Integrators
Journal of Computational Physics, 1995In the last few years most research in the numerical solution of ordinary differential equations has been addressed to the development of methods adapted to special problems. In particular, a complete theory of symplectic methods for Hamiltonian systems has been constructed [see e.g. \textit{J. M. Sanz-Serna} and \textit{M. P.
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Symplectic Integrators: Rotations and Roundoff Errors
Celestial Mechanics and Dynamical Astronomy, 1998We investigate the numerical implementation of a symplectic integrator combined with a rotation (as in the case of an elongated rotating primary). We show that a straightforward implementation of the rotation as a matrix multiplication destroys the conservative property of the global integrator, due to roundoff errors.
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