Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Jean Michel D. Sellier"'
Publikováno v:
Journal of Computational Physics. 387:154-162
Recently, two approaches were suggested which combine signed particles and neural networks to speed up the time-dependent simulation of quantum systems. Both specialize on the efficient computation of a multi-dimensional function defined over the pha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::576310ca03d57b3e23cdfbbc303e9225
https://doi.org/10.1016/j.jcp.2019.02.036
https://doi.org/10.1016/j.jcp.2019.02.036
Publikováno v:
International Journal of Quantum Chemistry. 119
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::139dc830c47567edb05e1a027a9c0fda
https://doi.org/10.1002/qua.26017
https://doi.org/10.1002/qua.26017
Publikováno v:
Journal of Computational and Theoretical Transport. 45:162-173
Extended Thermodynamics of dense gases with an arbitrary but fixed number of moments has been recently studied in literature. As usual in Extended Thermodynamics, in the field equations some unknown functions appear; restriction on their generalities
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c9a3f8af297d110e904400c3b3a5cdf0
https://doi.org/10.1080/23324309.2016.1149079
https://doi.org/10.1080/23324309.2016.1149079
Publikováno v:
Soft Computing. 21:2385-2393
Today artificial neural networks are applied in various fields - engineering, data analysis, robotics. While they represent a successful tool for a variety of relevant applications, mathematically speaking they are still far from being conclusive. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da9d72f37093b6b6730cc1a579f16f95
https://doi.org/10.1007/s00500-015-1949-1
https://doi.org/10.1007/s00500-015-1949-1
Autor:
Jean Michel D. Sellier, Sihong Shao
Publikováno v:
Journal of Computational Physics. 300:167-185
Recently a Monte Carlo method based on signed particles for time-dependent simulations of the Wigner equation has been proposed. While it has been thoroughly validated against physical benchmarks, no technical study about its numerical accuracy has b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f82fb7b86423d52b4ffb647fc5674cfc
https://doi.org/10.1016/j.jcp.2015.08.002
https://doi.org/10.1016/j.jcp.2015.08.002
Autor:
Jean Michel D. Sellier
Publikováno v:
Journal of Computational Physics. 297:254-265
A formulation of non-relativistic quantum mechanics in terms of Newtonian particles is presented in the shape of a set of three postulates. In this new theory, quantum systems are described by ensembles of signed particles which behave as field-less
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7f7050bb5654968461ccef8bda02cd2
https://doi.org/10.1016/j.jcp.2015.05.036
https://doi.org/10.1016/j.jcp.2015.05.036
Autor:
Ivan Dimov, Jean Michel D. Sellier
Publikováno v:
Journal of Computational Physics. 280:287-294
The simulation of quantum systems consisting of interacting, indistinguishable fermions is an incredible mathematical problem which poses formidable numerical challenges. Many sophisticated methods addressing this problem are available which are base
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::05259bf3414ffc521a904afa5ce4515e
https://doi.org/10.1016/j.jcp.2014.09.026
https://doi.org/10.1016/j.jcp.2014.09.026
Autor:
Jean Michel D. Sellier
Recently a new formulation of quantum mechanics has been suggested which describes systems by means of ensembles of classical particles provided with a sign. This novel approach mainly consists of two steps: the computation of the Wigner kernel, a mu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf519e5475f10e316f149a3ad89af4e8
Autor:
Jean Michel D. Sellier, Ivan Dimov
Publikováno v:
Computer Physics Communications. 185:2427-2435
The Wigner–Boltzmann model is a partial integro-differential equation which describes the time dependent dynamics of quantum mechanical phenomena including the effects of lattice vibration as a second-order approximation. Recently a Monte Carlo tec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5c980300c555af0a8fa5a19af71e5db
https://doi.org/10.1016/j.cpc.2014.05.013
https://doi.org/10.1016/j.cpc.2014.05.013
Autor:
Ivan Dimov, Jean Michel D. Sellier
Publikováno v:
Journal of Computational Physics. 273:589-597
The aim of ab-initio approaches is the simulation of many-body quantum systems from the first principles of quantum mechanics. These methods are traditionally based on the many-body Schrodinger equation which represents an incredible mathematical cha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7db41daebf17c416be57ad687f461154
https://doi.org/10.1016/j.jcp.2014.05.039
https://doi.org/10.1016/j.jcp.2014.05.039