Zobrazeno 1 - 10
of 191
pro vyhledávání: '"Leimkuhler, B."'
We derive and analyze numerical methods for weak approximation of underdamped (kinetic) Langevin dynamics in bounded domains. First-order methods are based on an Euler-type scheme interlaced with collisions with the boundary. To achieve second order,
Externí odkaz:
http://arxiv.org/abs/2404.16584
Publikováno v:
Phys. Rev. E 103, 022212 (2021)
We describe, for the first time, the full 2D scattering of long-lived breathers in a model hexagonal lattice of atoms. The chosen system, representing an idealized model of mica, combines a Lennard-Jones interatomic potential with an "egg-box" harmon
Externí odkaz:
http://arxiv.org/abs/2007.12079
Publikováno v:
The Annals of Applied Probability Vol. 33 (2023), No. 3, 1904-1960
A simple-to-implement weak-sense numerical method to approximate reflected stochastic differential equations (RSDEs) is proposed and analysed. It is proved that the method has the first order of weak convergence. Together with the Monte Carlo techniq
Externí odkaz:
http://arxiv.org/abs/2006.15670
Autor:
Trstanova, Z., Martinsson, A., Matthews, C., Jimenez, S., Leimkuhler, B., Van Delft, T., Wilkinson, M.
A detailed understanding of wind turbine performance status classification can improve operations and maintenance in the wind energy industry. Due to different engineering properties of wind turbines, the standard supervised learning models used for
Externí odkaz:
http://arxiv.org/abs/1903.08901
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 2020 Jan 01. 476(2233), 1-22.
Externí odkaz:
https://www.jstor.org/stable/26917937
Publikováno v:
Physica D 301 (2015) 8-20
In this paper we consider a 2D hexagonal crystal lattice model first proposed by Marin, Eilbeck and Russell in 1998. We perform a detailed numerical study of nonlinear propagating localized modes, that is, propagating discrete breathers and kinks. Th
Externí odkaz:
http://arxiv.org/abs/1409.0355
We review research on the role of nonlinear coherent phenomena (e.g breathers and kinks) in the formation linear decorations in mica crystal. The work is based on a new model for the motion of the mica hexagonal K layer, which allows displacement of
Externí odkaz:
http://arxiv.org/abs/1408.6853
This article addresses the weak convergence of numerical methods for Brownian dynamics. Typical analyses of numerical methods for stochastic differential equations focus on properties such as the weak order which estimates the asymptotic (stepsize $h
Externí odkaz:
http://arxiv.org/abs/1402.2797