Zobrazeno 1 - 10
of 755
pro vyhledávání: '"Symplectic integrators"'
Publikováno v:
Symmetry, Vol 15, Iss 10, p 1848 (2023)
In this study, we construct symmetric explicit symplectic schemes for the non-rotating Konoplya and Zhidenko black hole spacetime that effectively maintain the stability of energy errors and solve the tangent vectors from the equations of motion and
Externí odkaz:
https://doaj.org/article/da01eb7ed9d64f648abe0a3f3602ae62
Publikováno v:
Symmetry, Vol 15, Iss 1, p 63 (2022)
We take into account the dynamics of three types of models of rotating galaxies in polar coordinates in a rotating frame. Due to non-axisymmetric potential perturbations, the angular momentum varies with time, and the kinetic energy depends on the mo
Externí odkaz:
https://doaj.org/article/c632408e4acb497a9b30e91e34b270a5
Publikováno v:
Mathematics in Engineering, Vol 1, Iss 3, Pp 447-488 (2019)
We investigate the computational performance of various numerical methods for the integration of the equations of motion and the variational equations for some typical classical many-body models of condensed matter physics: the Fermi-Pasta-Ulam-Tsing
Externí odkaz:
https://doaj.org/article/a4b4806410d34f56ad40e0ab45386135
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-18 (2019)
Abstract A class of stochastic Runge–Kutta–Nyström (SRKN) methods for the strong approximation of second-order stochastic differential equations (SDEs) are proposed. The conditions for strong convergence global order 1.0 are given. The symplecti
Externí odkaz:
https://doaj.org/article/d8291380d5534332a30fa3f97d24329e
Publikováno v:
Advanced Modeling and Simulation in Engineering Sciences, Vol 6, Iss 1, Pp 1-29 (2019)
Abstract This article reviews some integrators particularly suitable for the numerical resolution of differential equations on a large time interval. Symplectic integrators are presented. Their stability on exponentially large time is shown through n
Externí odkaz:
https://doaj.org/article/9d43b92bfaa743688c49c4fceba75af1
Autor:
Jānis Bajārs, Juan F. R. Archilla
Publikováno v:
Mathematics, Vol 10, Iss 19, p 3460 (2022)
We propose two classes of symplecticity-preserving symmetric splitting methods for semi-classical Hamiltonian dynamics of charge transfer by intrinsic localized modes in nonlinear crystal lattice models. We consider, without loss of generality, one-d
Externí odkaz:
https://doaj.org/article/5cd3305a62a6481aad044c5aef2e5115
Autor:
Airong Hu, Guoqing Huang
Publikováno v:
Universe, Vol 8, Iss 7, p 369 (2022)
A brane-world metric with an external magnetic field is a modified theory of gravity. It is suitable for the description of compact sources on the brane such as stars and black holes. We design a class of explicit symplectic integrators for this spac
Externí odkaz:
https://doaj.org/article/39784a6cf1574503bea0186ed43ae609
Publikováno v:
Universe, Vol 8, Iss 6, p 320 (2022)
Based on the scalar–tensor–vector modified gravitational theory, a modified gravity Schwarzschild black hole solution has been given in the existing literature. Such a black hole spacetime is obtained through the inclusion of a modified gravity c
Externí odkaz:
https://doaj.org/article/b5d1792c23e14ef2b2f5cea70906abf0
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