Results 21 to 30 of about 287 (170)
Tuning Symplectic Integrators is Easy and Worthwhile [PDF]
Communications in Computational Physics, 2022 Many applications in computational physics that use numerical integrators based on splitting and composition can benefit from the development of optimized algorithms and from choosing the best ordering of terms. The cost in programming and execution time is minimal, while the performance improvements can be large.
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Covariant Hamiltonian approach for time-dependent potentials applied to a pill-box cavity
Physical Review Accelerators and Beams, 2020 The typical treatment of time-dependent potentials, such as those used for radio frequency cavities, is to average a potential’s time component through the interval that a reference particle spends in the cavity.
E. Laface, B. T. Folsom
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Fourth-order symplectic integration [PDF]
Physica D: Nonlinear Phenomena, 1990 Die Autoren behandeln die Integration der Hamiltonschen Gleichungen unter Anwendung einer expliziten Vierter-Ordnung-Methode. Diese bewahrt die Eigenschaft, daß eine zeitliche Entwicklung eines solchen Systems eine kanonische Transformation aus den Anfangsbedingungen bis zum Endzustand erhält.
Forest, E., Ruth, R.D.
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Some robust integrators for large time dynamics
Advanced Modeling and Simulation in Engineering Sciences, 2019 This article reviews some integrators particularly suitable for the numerical resolution of differential equations on a large time interval. Symplectic integrators are presented.
Dina Razafindralandy +3 more
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European Physical Journal C: Particles and Fields, 2021 In a recent work of Wu, Wang, Sun and Liu, a second-order explicit symplectic integrator was proposed for the integrable Kerr spacetime geometry. It is still suited for simulating the nonintegrable dynamics of charged particles moving around the Kerr ...
Wei Sun, Ying Wang, Fuyao Liu, Xin Wu
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Collective symplectic integrators [PDF]
Nonlinearity, 2014 We construct symplectic integrators for Lie-Poisson systems. The integrators are standard symplectic (partitioned) Runge--Kutta methods. Their phase space is a symplectic vector space with a Hamiltonian action with momentum map $J$ whose range is the target Lie--Poisson manifold, and their Hamiltonian is collective, that is, it is the target ...
Robert I McLachlan +2 more
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The accuracy of symplectic integrators [PDF]
Nonlinearity, 1992 The authors study symplectic integrators by the accuracy with which they represent the Hamiltonian function. This accuracy is computed, compared and tested for several different methods. The authors develop new, highly accurate explicit fourth- and fifth-order methods valid when the Hamiltonian is separable with quadratic kinetic energy.
McLachlan, Robert I., Atela, Pau
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Simpson’s Variational Integrator for Systems with Quadratic Lagrangians
AxiomsThis contribution proposes a variational symplectic integrator aimed at linear systems issued from the least action principle. An internal quadratic finite-element interpolation of the state is performed at each time step.
Juan Antonio Rojas-Quintero +2 more
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MULTISYMPLECTIC VARIATIONAL INTEGRATORS FOR NONSMOOTH LAGRANGIAN CONTINUUM MECHANICS
Forum of Mathematics, Sigma, 2016 This paper develops the theory of multisymplectic variational integrators for nonsmooth continuum mechanics with constraints. Typical problems are the impact of an elastic body on a rigid plate or the collision of two elastic bodies.
FRANÇOIS DEMOURES +2 more
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Impact of electric charges on chaos in magnetized Reissner–Nordström spacetimes
European Physical Journal C: Particles and Fields, 2023 We consider the motion of test particles around a Reissner–Nordström black hole immersed into a strong external magnetic field modifying the spacetime structure.
Daqi Yang, Wenfang Liu, Xin Wu
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