期刊：
Communications in Nonlinear Science and Numerical Simulation,2023年116:106798 ISSN：1007-5704
通讯作者：
Hu, Lijun(hulijun@lsec.cc.ac.cn)
作者机构：
[Hu, Lijun] Hengyang Normal Univ, Sch Math & Stat, Hengyang 421002, Hunan, Peoples R China.;Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA.
通讯机构：
[Lijun Hu] S;School of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, China
期刊：
Fuzzy Sets and Systems,2022年426:27-45 ISSN：0165-0114
通讯作者：
Li, Long
作者机构：
[Li, Long] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China.;[Long, Zuqiang] Hengyang Normal Univ, Coll Phys & Elect Engn, Hengyang, Hunan, Peoples R China.;[Ying, Hao] Wayne State Univ, Dept Elect & Comp Engn, Detroit, MI 48202 USA.;[Qiao, Zhijun] Univ Texas Rio Grande Valley, Dept Math, Edinburg, TX 78539 USA.
通讯机构：
[Li, Long] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China.
期刊：
Communications in Statistics - Theory and Methods,2021年50(3):594-608 ISSN：0361-0926
通讯作者：
Wang, Dingcheng
作者机构：
[Feng, Fengxiang; Wang, Dingcheng] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China;[Feng, Fengxiang; Wu, Qunying] Guilin Univ Technol, Coll Sci, Guilin, Guangxi, Peoples R China;[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China
通讯机构：
[Wang, Dingcheng] U;Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China.
关键词：
Complete convergence;complete moment convergence;sub-linear expectations;negatively dependent random variables;60F15
摘要：
In this article, we study complete and complete moment convergence theorems for arrays of rowwise negatively dependent random variables under the sub-linear expectations. The complete and complete moment convergence theorems in the sense of non-additive capacities are established for arrays of rowwise negatively dependent random variables. Our result improves the corresponding result of Wang et al. relative to the classical probability space.
期刊：
Communications in Nonlinear Science and Numerical Simulation,2021年97:105738 ISSN：1007-5704
通讯作者：
Hu, Lijun(hulijun@lsec.cc.ac.cn)
作者机构：
[Hu, Lijun] Hengyang Normal Univ, Sch Math & Stat, Hengyang 421002, Hunan, Peoples R China.;[Feng, Sebert] Sci Acad South Texas, Mercedes, TX 78570 USA.
通讯机构：
[Lijun Hu] S;School of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan 421002, China
期刊：
Communications in Nonlinear Science and Numerical Simulation,2021年93(Feb.):105502 ISSN：1007-5704
通讯作者：
Hu, Lijun
作者机构：
[Hu, Lijun] Hengyang Normal Univ, Sch Math & Stat, Hengyang 421002, Hunan, Peoples R China.;[Feng, Sebert] Sci Acad South Texas, Mercedes, TX 78570 USA.
通讯机构：
[Hu, Lijun] H;Hengyang Normal Univ, Sch Math & Stat, Hengyang 421002, Hunan, Peoples R China.
摘要：
Low-dissipation shock-capturing methods usually suffer from various forms of shock instabilities, such as the notorious carbuncle phenomenon, in simulations of hypersonic flows. Many strategies for tackling the shock instability of flux difference splitting schemes, such as HLLC and Roe schemes, have been proposed while little work has been undertaken on the shock instability of flux splitting schemes. In this paper, we are concerned with the shock instability of a convection-pressure flux splitting scheme. By means of a linearized perturbation analysis, it shows that all of the perturbations in the streamwise direction are damped, while the perturbations of density and shear velocity in the transverse direction are undamped. Due to the special symmetry, the two-dimensional Sedov blast wave problem is studied to demonstrate the relation between the transverse flux and shock instability. Based on the theoretical analyses, a shock stable flux splitting scheme is presented through introducing additional viscosities of entropy wave and shear wave to damp out all perturbations in the transverse direction. For restoring the contact surface and shear layer, a pressure-based function depending on the shock-wave strength is defined to control the amount and location of additional viscosities. Numerical results of several challenging test problems demonstrate that the new scheme has greatly improved the robustness without undermining the accuracy. (C) 2020 Elsevier B.V. All rights reserved.
期刊：
Computers & Mathematics with Applications,2019年78(8):2560-2574 ISSN：0898-1221
通讯作者：
Wang, Qisheng
作者机构：
[Wang, Keyan] Hengyang Normal Univ, Sch Math & Stat, Hengyang 421008, Hunan, Peoples R China;[Wang, Qisheng] Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Guangdong, Peoples R China
通讯机构：
[Wang, Qisheng] W;Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Guangdong, Peoples R China.
关键词：
Hyperbolic equations;Expanded mixed finite element method;Error estimates
摘要：
In this paper, an expanded mixed finite element method is developed to approximate the solution of second order hyperbolic equations. We discuss and theoretically prove the existence and uniqueness of solution for the semidiscrete formulation, and obtain the optimal order error estimates in the L-infinity(L-2) norm. In addition, we also construct the fully discrete approximations and provide the corresponding error analysis. Some numerical examples are presented to demonstrate the theoretical analysis. (C) 2019 Elsevier Ltd. All rights reserved.
期刊：
Journal of Computational and Applied Mathematics,2018年336:468-476 ISSN：0377-0427
通讯作者：
Ponnusamy, Saminathan
作者机构：
[Liu, Gang] Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Hunan, Peoples R China.;[Ponnusamy, Saminathan] Indian Inst Technol Madras, Dept Math, Madras 600036, Tamil Nadu, India.
通讯机构：
[Ponnusamy, Saminathan] I;Indian Inst Technol Madras, Dept Math, Madras 600036, Tamil Nadu, India.
关键词：
Konig's method;Cycle;Fatou set;Attracting basin;Parabolic basin;Siegel disk
摘要：
We consider König’s method for finding roots of polynomials. Let Kf,n be the function defined in König’s method for polynomial f of order n (n≥2). For any given complex number λ∈C and any given set Ω≔{z1,z2,…,zk} of k (k≥2) distinct complex numbers, we present a procedure of constructing a polynomial fn,λ for which Ω is a k-cycle of Kfn,λ,n with multiplier λ.
摘要：
We prove that, the so called total energy functional defined on the class of radial stretchings between annuli attains its minimum on a total energy diffeomorphism between annuli on R-n. This involves a subtle analysis of some special ODE. The result is an extension of the corresponding 2-dimensional case obtained by Iwaniec and Onninen (2009). (C) 2017 Elsevier Ltd. All rights reserved.
作者机构：
[Yang, Liu] Hengyang Normal Univ, Dept Math & Comp Sci, Hengyang 421008, Hunan, Peoples R China.;[Ouyang, Zigen; Liu, Zhisu] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Liu, Zhisu] U;Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
关键词：
Multiplicity;Kirchhoff type equation;Critical growth
摘要：
In this paper, we study the following Kirchhoff type equation with critical growth {-(a + b integral(Omega) vertical bar del u vertical bar(2)dx) del u = lambda u + mu vertical bar u vertical bar(2)u + vertical bar u vertical bar(4)u in Omega, u = 0 on partial derivative Omega, where a > 0, b >= 0 and Omega is a smooth bounded domain in R-3. When the real parameter mu is larger than some positive constant, we investigate the multiplicity of nontrivial solutions for the above problem with parameter lambda belonging to a left neighborhood of the Dirichlet eigenvalue of the Laplacian operator -Delta. (C) 2016 Elsevier Ltd. All rights reserved.
摘要：
In this paper, by constructing a generalized Armijo search method, a novel conjugate gradient (CG) model has been proposed to training a common three-layer backpropagation (BP) neural network. Compared with the classical gradient descent method, this algorithm efficiently accelerates the convergence speed due to the existence of the additional conjugate direction. Essentially, the optimal learning rate of each epoch is determined by the given inexact line search strategy. The presented model does not significantly increase the computational cost in dealing with real applications. Two benchmark simulations have been performed to illustrate the promising advantages of the proposed algorithm.
期刊：
IAENG International Journal of Applied Mathematics,2016年46(3):298-304 ISSN：1992-9978
通讯作者：
Zhang, Qianhong(zqianhong68@163.com)
作者机构：
[Liu, Jingzhong] School of Mathematics Physics and Energy Engineering, Hunan Institute of Technology, Hengyang, Hunan, 421002, China;[Luo, Zhenguo] School of Mathematics and Statistics, Hengyang Normal University, Hengyang, Hunan, 421002, China;[Zhang, Qianhong] School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou, 550025, China
通讯机构：
[Zhang, Q.] S;School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou, China
摘要：
By employing continuation theorem of the coincidence degree, and inequality technique, some sufficient conditions are established for the existence of periodic solution and global exponential stability of fuzzy cellular neural networks with time-varying delays. These results have important leading significance in the design and applications of globally stable neural networks. Moreover an example is given to illustrate the effectiveness and feasible of results obtained.
