Zobrazeno 1 - 10
of 1 223
pro vyhledávání: '"Zhao, Xiaofei"'
We propose a normalized deep neural network (norm-DNN) for computing ground states of Bose-Einstein condensation (BEC) via the minimization of the Gross-Pitaevskii energy functional under unitary mass normalization. Compared with the traditional deep
Externí odkaz:
http://arxiv.org/abs/2410.05319
Scalar auxiliary variable (SAV) methods are a class of linear schemes for solving gradient flows that are known for the stability of a `modified' energy. In this paper, we propose an improved SAV (iSAV) scheme that not only retains the complete linea
Externí odkaz:
http://arxiv.org/abs/2405.03403
We consider the cubic nonlinear Schr\"odinger equation with a spatially rough potential, a key equation in the mathematical setup for nonlinear Anderson localization. Our study comprises two main parts: new optimal results on the well-posedness analy
Externí odkaz:
http://arxiv.org/abs/2403.16772
In this paper, we propose Fourier pseudospectral methods to solve the variable-order space fractional wave equation and develop an accelerated matrix-free approach for its effective implementation. In constant-order cases, our methods can be efficien
Externí odkaz:
http://arxiv.org/abs/2311.13049
In this paper, we consider the numerical solution of a nonlinear Schrodinger equation with spatial random potential. The randomly shifted quasi-Monte Carlo (QMC) lattice rule combined with the time-splitting pseudospectral discretization is applied a
Externí odkaz:
http://arxiv.org/abs/2311.11336
In this work, we study some mathematical features for the action ground states of the defocusing nonlinear Schr\"odinger equation with possible rotation. Main attention is paid to characterizing the relation between the action ground states and the e
Externí odkaz:
http://arxiv.org/abs/2311.02890
Autor:
Csányi, Evelin, Liu, Yan, Rezaei, Soroosh Daqiqeh, Lee, Henry Yit Loong, Tjiptoharsono, Febiana, Mahfoud, Zackaria, Gorelik, Sergey, Zhao, Xiaofei, Lim, Li Jun, Zhu, Di, Wu, Jing, Goh, Kuan Eng Johnson, Gao, Weibo, Tan, Zhi-Kuang, Leggett, Graham, Qiu, Cheng-Wei, Dong, Zhaogang
Metal halide perovskite quantum dots (PQDs) have emerged as promising materials due to their exceptional photoluminescence (PL) properties. A wide range of applications could benefit from adjustable luminescence properties, while preserving the physi
Externí odkaz:
http://arxiv.org/abs/2306.14229
Autor:
McGrath, Sean, Zhao, XiaoFei, Ozturk, Omer, Katzenschlager, Stephan, Steele, Russell, Benedetti, Andrea
Publikováno v:
Res. Synth. Methods 15 (2024) 332-346
When performing an aggregate data meta-analysis of a continuous outcome, researchers often come across primary studies that report the sample median of the outcome. However, standard meta-analytic methods typically cannot be directly applied in this
Externí odkaz:
http://arxiv.org/abs/2302.14243
Publikováno v:
SIAM Journal on Scientific Computing, 2023, Vol. 45, No. 2, pp. A397-A426
We consider the computations of the action ground state for a rotating nonlinear Schr\"odinger equation. It reads as a minimization of the action functional under the Nehari constraint. In the focusing case, we identify an equivalent formulation of t
Externí odkaz:
http://arxiv.org/abs/2203.06383
Publikováno v:
In Journal of Computational Physics 1 January 2025 520