Results 101 to 110 of about 1,079 (166)

Stabilisation of the Landau-Lifshitz-Gilbert equation for numerical solution via standard methods

Scientific Reports
Landau and Lifshitz developed their phenomenological equation for the magnetisation dynamics in ferromagnetic solids almost a century ago. At any specific time and position within the solid, the equation describes the rotations of the magnetisation ...
André E. Botha
doaj   +1 more source

Equal partners? Improving the integration between DSpace and Symplectic Elements

, 2015
While self-submission by academics was regarded as the ideal way to add content to Open Repositories in the early days of such systems, the reality today is that many institutional repositories obtain their content automatically from integration with ...
Murdoch, Craig, Schweer, Andrea, Miller, Kate   +2 more
core   +1 more source

Explicit Time Integrators for Nonlinear Dynamics Derived from the Midpoint Rule

Acta Polytechnica, 2004
We address the design of time integrators for mechanical systems that are explicit in the forcing evaluations. Our starting point is the midpoint rule, either in the classical form for the vector space setting, or in the Lie form for the rotation group ...
P. Krysl
doaj  

High-order symplectic integration: an assessment

, 2019
We report tests of some new symplectic integration routines of sixth and eighth order applied to the integration of classical trajectories for a triatomic model molecule. This system has mixed regular and chaotic phase space.
A. Seiter (8096345), Ch. Schlier (8096342)   +1 more
core   +1 more source

Symplectic integration of boundary value problems

, 2019
Symplectic integrators can be excellent for Hamiltonian initial value problems. Reasons for this include their preservation of invariant sets like tori, good energy behaviour, nonexistence of attractors, and good behaviour of statistical properties ...
McLachlan, Robert I., Offen, Christian; id_orcid   +1 more
core   +1 more source

Long-Time Symplectic Integration: The Example of Four-Vortex Motion

, 1991
Detailed comparisons are made between long-time numerical integration of the motion of four identical point vortices obtained using both a fourth-order symplectic integration method of the implicit Runge-Kutta type and a standard fourth-order explicit ...
Pullin, D. I., Saffman, P. G.
core  

Non-standard discretization of biological models [PDF]

, 2015
We consider certain types of discretization schemes for differential equations with quadratic nonlinearities, which were introduced by Kahan, and considered in a broader setting by Mickens.
Towler, Kim, Hone, Andrew N.W.
core  

Two Axially Symmetric Coupled Rigid Bodies: Relative Equilibria, Stability, Bifurcations, and a Momentum Preserving Symplectic Integrator

, 1991
The dynamics of two rigid bodies coupled by an ideal spherically symmetric joint is studied. Except for preliminary material, attention is restricted to the case of two identical bodies with two equal moments of inertia and joined along their axes of ...
Jerrold E. Marsden, George Patrick, Preserving Symplectic Integrator   +2 more
core  

Almost Symplectic Runge-Kutta Schemes for Hamiltonian Systems [PDF]

, 2002
Symplectic Runge-Kutta schemes for integration of general Hamiltonian systems are implicit. In practice the implicit equations are often approximately solved based on the Contraction Mapping Principle, in which case the resulting integration scheme is no
Tan, Xiaobo
core  

Extended phase-space symplectic integration for electron dynamics

We investigate the use of extended phase-space symplectic integration [M. Tao, Phys. Rev. E 94, 043303 (2016)] for simulating two different classes of electron dynamics. The first one, with one and a half degrees of freedom, comes from plasma physics and
Chandre, Cristel, Mauger, Francois
core