Zobrazeno 1 - 10
of 191
pro vyhledávání: '"Ji Lun"'
Autor:
Peng, Ji-Lun, Cheng, Sijia, Diau, Egil, Shih, Yung-Yu, Chen, Po-Heng, Lin, Yen-Ting, Chen, Yun-Nung
LLMs have gotten attention across various research domains due to their exceptional performance on a wide range of complex tasks. Therefore, refined methods to evaluate the capabilities of LLMs are needed to determine the tasks and responsibility the
Externí odkaz:
http://arxiv.org/abs/2406.00936
We investigate a filtered Lie-Trotter splitting scheme for the ``good" Boussinesq equation and derive an error estimate for initial data with very low regularity. Through the use of discrete Bourgain spaces, our analysis extends to initial data in $H
Externí odkaz:
http://arxiv.org/abs/2402.11266
Autor:
Ji, Lun, Ostermann, Alexander
The filtered Lie splitting scheme is an established method for the numerical integration of the periodic nonlinear Schr\"{o}dinger equation at low regularity. Its temporal convergence was recently analyzed in a framework of discrete Bourgain spaces i
Externí odkaz:
http://arxiv.org/abs/2312.11071
Publikováno v:
SIAM J. Numer. Anal., 62(5), 2071--2086 (2024)
For the numerical solution of the cubic nonlinear Schr\"{o}dinger equation with periodic boundary conditions, a pseudospectral method in space combined with a filtered Lie splitting scheme in time is considered. This scheme is shown to converge even
Externí odkaz:
http://arxiv.org/abs/2311.14366
Publikováno v:
Fayixue Zazhi, Vol 40, Iss 4, Pp 359-364 (2024)
ObjectiveTo explore the causes of related medical damage risks and preventive measures by analyzing the identification results of medical damage in 20 urological death cases.MethodsA retrospective analysis was conducted on 20 death cases of medical d
Externí odkaz:
https://doaj.org/article/2f772f4f6dbe4ce5a5b2d6b86ae198ba
A filtered Lie splitting scheme is proposed for the time integration of the cubic nonlinear Schr\"odinger equation on the two-dimensional torus $\mathbb{T}^2$. The scheme is analyzed in a framework of discrete Bourgain spaces, which allows us to cons
Externí odkaz:
http://arxiv.org/abs/2301.10639
We propose efficient numerical methods for nonseparable non-canonical Hamiltonian systems which are explicit, K-symplectic in the extended phase space with long time energy conservation properties. They are based on extending the original phase space
Externí odkaz:
http://arxiv.org/abs/2208.03875
We propose Poisson integrators for the numerical integration of separable Poisson systems. We analyze three situations in which the Poisson systems are separated in three ways and the Poisson integrators can be constructed by using the splitting meth
Externí odkaz:
http://arxiv.org/abs/2205.05281
Publikováno v:
In Journal of Palaeogeography October 2024 13(4):793-822
Publikováno v:
In Research in Cold and Arid Regions December 2023 15(6):278-287