Results 81 to 90 of about 1,079 (166)

Enhancing Stellar Orbit Accuracy through the Radius Power Law Time Step Function Model

JIF (Jurnal Ilmu Fisika)
Accurately determining stellar orbits within astrophysical systems is paramount for understanding celestial mechanics. This study proposes a novel approach to enhance orbit accuracy by incorporating a radius power law time step function model.
Hasanuddin Hasanuddin, Agustinus Eusebius, Yudha Arman   +2 more
doaj   +1 more source

Mimetic Difference Operators and Symplectic Integration

, 2017
Instead of the usual presentation given to the formulation of Initial Boundary Boundary Value Problems (IBVP), we do no take the partition of the continuous media directly to the limit of zero shrinking size concerning the spatial dimensions at any given
Castillo, Jose
core  

Structure-Preserving Time Integration of Non-Autonomous Lagrangian Systems Based on Prolongation–Collocation Variational Integrators

Mathematics
We develop structure-preserving variational integrators for non-autonomous Lagrangian systems by extending the prolongation–collocation variational integrator framework to explicitly time-dependent dynamics.
Yuanyuan Li, Ben Niu, Shixing Liu, Yongxin Guo   +3 more
doaj   +1 more source

Symplectic numerical integration of Hamiltonian systems

, 1989
This paper describes some general techniques available for symplectic or Lie-Poisson integration and illustrate the results with some numerical computations.
Scovel, C.
core  

Symplectic Integration and Molecular Dynamics

, 1997
Symplectic integrators form an important class of numerical methods\ud for molecular dynamics. We give a brief history of the development\ud of symplectic geometry, followed by an overview of the field intended for\ud readers with little or no background
Walker, Ryan
core  

Not Entirely Unlike - CRIS Integration With Fedora

, 2015
Since 2009, Symplectic has been integrating its flagship research management system, Elements, with institutional repositories. In almost all cases, the repository has been either DSpace or EPrints.
Team Symplectic (100629), Graham Triggs (784114)   +1 more
core   +1 more source

Energy and Force Stepping Integrators in Lagrangian Mechanics [PDF]

, 2011
The overarching goal of this thesis is to develop new numerical time integration schemes for Lagrangian mechanics that better cope with the challenges of understanding the dynamic behavior of materials.
Gonzalez, Marcial
core   +1 more source

Deformation Quantization of Poisson Structures Associated to Lie Algebroids

Symmetry, Integrability and Geometry: Methods and Applications, 2009
In the present paper we explicitly construct deformation quantizations of certain Poisson structures on E*, where E → M is a Lie algebroid. Although the considered Poisson structures in general are far from being regular or even symplectic, our ...
Nikolai Neumaier, Stefan Waldmann
doaj   +1 more source

Symplectic integrators revisited

Brazilian Journal of Physics, 2002
This paper is a survey on Symplectic Integrator Algorithms (SIA): numerical integrators designed for Hamiltonian systems. As it is well known, n degrees of freedom Hamiltonian systems have an important property: their ows preserve not only the total volume of the phase space, which is only one of the Poincare invariants, but also the volume of sub ...
openaire   +3 more sources

Polynomial map factorization of symplectic maps

, 2003
Long-term stability studies of nonlinear Hamiltonian systems require symplectic integration algorithms which are both fast and accurate. In this paper, we study a symplectic integration method wherein the symplectic map representing the Hamiltonian ...
Rangarajan, Govindan
core   +1 more source