Results 141 to 150 of about 287 (170)

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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Energy Conserving, Liouville, and Symplectic Integrators

Journal of Computational Physics, 1995
In 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, 1998
We 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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Symplectic Integration

1995
info:eu-repo/semantics ...
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Symplectic integration

AIP Conference Proceedings, 1997
Parsa, Z., Forest, E.
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Integrability of symplectic mappings

2020
vıı ABSTRACT INTEGRABILITY OF SYMPLECTIC MAPPINGS This thesis can be divided into two parts: continuous and discrete. In the contin uous part, both finite and infinite dimensional Hamiltonian systems are discussed. In finite dimensional Hamiltonian systems (ODEs) we state the Arnold-Liouvile theorem which gives the conditions of integrability.
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Symplectic integration

1994
J. M. Sanz-Serna, M. P. Calvo
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An Improved Symplectic Integrator for Nosé-Poincaré Thermostat

Journal of the Physical Society of Japan, 2001
Shuichi Nose
exaly  

Multi-symplectic preserving integrator for the Schrödinger equation with wave operator

Applied Mathematical Modelling, 2015
Linghua Kong
exaly  

Symplectic Integration

2020
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