Zobrazeno 1 - 10
of 238
pro vyhledávání: '"Huang, Juntao"'
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
In this work, we present a novel method called the complex frequency fingerprint (CFF) to detect the complex frequency Green's function, $G(\omega\in\mathbb{C})$, in a driven-dissipative system. By utilizing the CFF, we can measure the complex freque
Externí odkaz:
http://arxiv.org/abs/2411.12577
Autor:
Ma, Zhiting, Huang, Juntao
In this paper, we study the uniform accuracy of implicit-explicit (IMEX) Runge-Kutta (RK) schemes for general linear hyperbolic relaxation systems satisfying the structural stability condition proposed in \cite{yong_singular_1999}. We establish the u
Externí odkaz:
http://arxiv.org/abs/2410.07254
We introduce a hyperbolic closure for the Grad moment expansion of the Bhatnagar-Gross-Krook's (BGK) kinetic model using a neural network (NN) trained on BGK's moment data. This closure is motivated by the exact closure for the free streaming limit t
Externí odkaz:
http://arxiv.org/abs/2401.04783
This work is concerned with the uniform accuracy of implicit-explicit backward differentiation formulas for general linear hyperbolic relaxation systems satisfying the structural stability condition proposed previously by the third author. We prove t
Externí odkaz:
http://arxiv.org/abs/2310.05342
In this paper, we investigate the two-dimensional extension of a recently introduced set of shallow water models based on a regularized moment expansion of the incompressible Navier-Stokes equations \cite{kowalski2017moment,koellermeier2020analysis}.
Externí odkaz:
http://arxiv.org/abs/2306.07202
The flat band system is an ideal quantum platform to investigate the kaleidoscope created by the electron-electron correlation effects. The central ingredient of realizing a flat band is to find its compact localized states. In this work, we develop
Externí odkaz:
http://arxiv.org/abs/2212.13526
In this paper, we develop bound-preserving discontinuous Galerkin (DG) methods for chemical reactive flows. There are several difficulties in constructing suitable numerical schemes. First of all, the density and internal energy are positive, and the
Externí odkaz:
http://arxiv.org/abs/2211.05600
This paper reviews the adaptive sparse grid discontinuous Galerkin (aSG-DG) method for computing high dimensional partial differential equations (PDEs) and its software implementation. The C\texttt{++} software package called AdaM-DG, implementing th
Externí odkaz:
http://arxiv.org/abs/2211.01531
This paper considers the discontinuous Galerkin (DG) methods for solving the Vlasov-Maxwell (VM) system, a fundamental model for collisionless magnetized plasma. The DG methods provide accurate numerical description with conservation and stability pr
Externí odkaz:
http://arxiv.org/abs/2210.07908