Zobrazeno 1 - 10
of 10 794
pro vyhledávání: '"Moment closure"'
In this paper, we propose a machine learning (ML)-based moment closure model for the linearized Boltzmann equation of semiconductor devices, addressing both the deterministic and stochastic settings. Our approach leverages neural networks to learn th
Externí odkaz:
http://arxiv.org/abs/2412.01932
Autor:
Qi, Di, Liu, Jian-Guo
We propose a high-order stochastic-statistical moment closure model for efficient ensemble prediction of leading-order statistical moments and probability density functions in multiscale complex turbulent systems. The statistical moment equations are
Externí odkaz:
http://arxiv.org/abs/2306.10026
Autor:
Wuyts, Bert, Sieber, Jan
In the study of dynamics on networks, moment closure is a commonly used method to obtain low-dimensional evolution equations amenable to analysis. The variables in the evolution equations are mean counts of subgraph states and are referred to as mome
Externí odkaz:
http://arxiv.org/abs/2111.07643
Autor:
Bauch, C., Rand, D. A.
Publikováno v:
Proceedings: Biological Sciences, 2000 Oct 01. 267(1456), 2019-2027.
Externí odkaz:
https://www.jstor.org/stable/2665691
This is the third paper in a series in which we develop machine learning (ML) moment closure models for the radiative transfer equation (RTE). In our previous work \cite{huang2021gradient}, we proposed an approach to learn the gradient of the unclose
Externí odkaz:
http://arxiv.org/abs/2109.00700
As one of the main governing equations in kinetic theory, the Boltzmann equation is widely utilized in aerospace, microscopic flow, etc. Its high-resolution simulation is crucial in these related areas. However, due to the high dimensionality of the
Externí odkaz:
http://arxiv.org/abs/2110.03682
This is the second paper in a series in which we develop machine learning (ML) moment closure models for the radiative transfer equation (RTE). In our previous work \cite{huang2021gradient}, we proposed an approach to directly learn the gradient of t
Externí odkaz:
http://arxiv.org/abs/2105.14410
Buoyant shear layers are encountered in many engineering and environmental applications and have been studied by researchers in the context of experiments and modeling for decades. Often, these flows have high Reynolds and Richardson numbers, and thi
Externí odkaz:
http://arxiv.org/abs/2107.11654
The quadrature-based method of moments (QMOM) offers a promising class of approximation techniques for reducing kinetic equations to fluid equations that are valid beyond thermodynamic equilibrium. In this work, we study a particular five-moment vari
Externí odkaz:
http://arxiv.org/abs/2111.03709
Publikováno v:
In Deep-Sea Research Part II April 2023 208