Results 1 to 10 of about 1,079 (166)
Symplectic integration of magnetic systems [PDF]
Journal of Computational Physics, 2014 Dependable numerical results from long-time simulations require stable numerical integration schemes. For Hamiltonian systems, this is achieved with symplectic integrators, which conserve the symplectic condition and exactly solve for the dynamics for an approximate Hamiltonian.
exaly +3 more sources
Physical Review Accelerators and Beams, 2022 The Hamiltonian describing particle motion in an accelerator belongs to a large class of systems, the members of which can be integrated with a new set of high order symplectic integrators.
K. Skoufaris +3 more
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Adjustment of Force–Gradient Operator in Symplectic Methods
Mathematics, 2021 Many force–gradient explicit symplectic integration algorithms have been designed for the Hamiltonian H=T(p)+V(q) with kinetic energy T(p)=p2/2 in the existing references.
Lina Zhang, Xin Wu, Enwei Liang
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An explicit symplectic approach to solving the wave equation in moving media
Engineering Reports, 2023 An explicit approach using symplectic time integration in conjunction with traditional finite difference spatial derivatives to solve the wave equation in moving media is presented.
Venkatesh Inguva +6 more
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INTEGRABLE SYSTEMS IN SYMPLECTIC GEOMETRY [PDF]
Glasgow Mathematical Journal, 2007 AbstractQuaternionic vector mKDV equations are derived from the Cartan structure equation in the symmetric space=Sp(n+1)/Sp(1) ×Sp(n). The derivation of the soliton hierarchy utilizes a moving parallel frame and a Cartan connection 1-form ω related to the Cartan geometry onmodelled on$(\mk{sp}_{n+1}, \mk{sp}_{1}\,{\times}\, \mk{sp}_{n})$.
Asadi, E., Sanders, J.A.
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Applied Sciences, 2021 We investigated the derivation of numerical methods for solving partial differential equations, focusing on those that preserve physical properties of Hamiltonian systems.
Odysseas Kosmas +2 more
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Shock and Vibration, 2022 Based on the symplectic structure of the Hamiltonian matrix, the precise integration method (PIM), and the Wittrick–Williams (W-W) algorithm, a generalized method for computing the dispersion curves of guided waves in multilayered anisotropic magneto ...
Yanhui Zhang, Qiang Gao
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Anisotropic Landau-Lifshitz model in discrete space-time
SciPost Physics, 2021 We construct an integrable lattice model of classical interacting spins in discrete space-time, representing a discrete-time analogue of the lattice Landau-Lifshitz ferromagnet with uniaxial anisotropy.
Žiga Krajnik, Enej Ilievski, Tomaž Prosen, Vincent Pasquier
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Procedure for constructing of explicit, implicit and symmetric simplectic schemes for numerical solving of Hamiltonian systems of equations [PDF]
Компьютерные исследования и моделирование, 2016 Equations of motion in Newtonian and Hamiltonian forms are used for classical molecular dynamics simulation of particle system time evolution. When Newton equations of motion are used for finding of particle coordinates and velocities in $N$-particle ...
B. Batgerel +2 more
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Entropy, 2020 In this paper, we describe and exploit a geometric framework for Gibbs probability densities and the associated concepts in statistical mechanics, which unifies several earlier works on the subject, including Souriau’s symplectic model of statistical ...
Frédéric Barbaresco +1 more
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