Zobrazeno 1 - 10
of 131
pro vyhledávání: '"Chaolu TEMUER"'
Autor:
Dongpeng Han, Chaolu Temuer
Publikováno v:
Symmetry, Vol 16, Iss 11, p 1490 (2024)
Traditional numerical methods often provide local solutions for initial value problems of differential equations, even though these problems may have solutions over larger intervals. Current neural network algorithms and deep learning methods also st
Externí odkaz:
https://doaj.org/article/8e19fcd1e2e441e991d1fba0fdf4e49c
Publikováno v:
Axioms, Vol 12, Iss 8, p 734 (2023)
The overlap function is an important class of aggregation function that is closely related to the continuous triangular norm. It has important applications in information fusion, image processing, information classification, intelligent decision-maki
Externí odkaz:
https://doaj.org/article/afea82eb10cd4d649a1a899f32442a53
Publikováno v:
Mathematics, Vol 8, Iss 4, p 524 (2020)
Essential connections between the classical symmetry and nonclassical symmetry of a partial differential equations (PDEs) are established. Through these connections, the sufficient conditions for the nonclassical symmetry of PDEs can be derived direc
Externí odkaz:
https://doaj.org/article/e850e0cfbb564032a045fe4beef58357
Autor:
Wen, Ying, Chaolu, Temuer
In this paper, a Lie group-based neural network method is proposed for solving initial value problems of non linear dynamics. Due to its single-layer structure (MLP), the approach is substantially cheaper than the multilayer perceptron method used in
Externí odkaz:
http://arxiv.org/abs/2203.04609
To combine a feedforward neural network (FNN) and Lie group (symmetry) theory of differential equations (DEs), an alternative artificial NN approach is proposed to solve the initial value problems (IVPs) of ordinary DEs (ODEs). Introducing the Lie gr
Externí odkaz:
http://arxiv.org/abs/2203.03479
The symmetry group structures of two dimensional coupled nonlinear Shr\"{o}dinger equations are considered. We first show that the equations admit infinite dimensional symmetry algebra as well as the corresponding symmetry group depending on four arb
Externí odkaz:
http://arxiv.org/abs/2002.04787
Autor:
Wen, Ying1 (AUTHOR) 201840310002@stu.shmtu.edu.cn, Chaolu, Temuer2 (AUTHOR) tmchaolu@shmtu.edu.cn
Publikováno v:
Entropy. May2023, Vol. 25 Issue 5, p704. 12p.
Autor:
Wen, Ying1 (AUTHOR) 201840310002@stu.shmtu.edu.cn, Chaolu, Temuer2 (AUTHOR) tmchaolu@shmtu.edu.cn
Publikováno v:
Axioms (2075-1680). May2023, Vol. 12 Issue 5, p429. 17p.
Publikováno v:
In Computers and Mathematics with Applications 1 August 2019 78(3):754-764
Publikováno v:
In Computers and Mathematics with Applications 15 April 2019 77(8):2077-2085