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SECOND-ORDER: 作品数：660被引量：1037H指数：12; 导出分析报告; 相关领域：理学更多>>; 相关作者：孙志忠郭力李霞林王成山阮文权更多>>; 相关机构：东南大学哈尔滨工业大学北京应用物理与计算数学研究所上海交通大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

Six New Sets of the Non-Elementary Jef-Family-Functions that Are Giving Solutions to Some Second-Order Nonlinear Autonomous ODEs: 《Journal of Applied Mathematics and Physics》2023年第4期1077-1097,共21页Magne Stensland; In this paper, we define some new sets of non-elementary functions in a group of solutions x(t) that are sine and cosine to the upper limit of integration in a non-elementary integral that can be arbitrary. We are usi...; 关键词：Non-Elementary Functions Second-Order Nonlinear Autonomous ODE Limit Cycle

Structural design and characterization of a new chalcone molecular derivative crystal DMNC with high second-order nonlinear coefficient: 《Chinese Journal of Structural Chemistry》2023年第3期7-10,共4页Jinkang Ma Siyuan Hu Xueting Mu Rui Chen Kun Meng Bing Teng Lifeng Cao Degao Zhong; supported by the Key Projects of the Joint Fund for Regional Innovation and Development of the National Natural Science Foundation of China(No.U22A20123);Program for National Natural Science Foundation of China(No.51972181);the program for Natural Science Foundation of Shandong Province(No.ZR2020ME022).; 1.Text In recent years,new organic second-order nonlinear optical materials have been widely used in optical imaging,data storage,information processing and communication,etc.[1].Therefore,designing and growing crysta...; 关键词：NONLINEAR DERIVATIVE CRYSTAL

An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations: 《Advances in Applied Mathematics and Mechanics》2022年第6期1400-1432,共33页Bingyin Zhang Hongfei Fu Xueting Liang Jun Liu Jiansong Zhang; the National Natural Science Foundation of China(Nos.11971482 and 12131014);the Natural Science Foundation of Shandong Province(Nos.ZR2017MA006,ZR2019MA015 and ZR2021MA020);the OUC Scientific Research Program for Young Talented Professionals.; In this paper,a three-dimensional time-dependent nonlinear Riesz spacefractional reaction-diffusion equation is considered.First,a linearized finite volume method,named BDF-FV,is developed and analyzed via the discret...; 关键词：Nonlinear space-fractional reaction-diffusion equation finite volume method ADI CONVERGENCE efficient implementation.

Four New Examples of the Non-Elementary Expo-Elliptic Functions That Are Giving Solutions to Some Second-Order Nonlinear Autonomous ODEs: 《Journal of Applied Mathematics and Physics》2022年第4期1304-1324,共21页Magne Stensland; In this paper, we define four new examples of the non-elementary expo-elliptic functions. This is an exponential function whose exponent is the product of a real number and the upper limit of integration in a non-elem...; 关键词：Non-Elementary Functions Second-Order Nonlinear Autonomous ODE

On Two New Groups of Non-Elementary Functions That Are Giving Solutions to Some Second-Order Nonlinear Autonomous ODEs: 《Journal of Applied Mathematics and Physics》2022年第3期703-713,共11页Magne Stensland; In this paper, we define a group of solutions x(t) that are sine and cosine to the upper limit of integration in a non-elementary integral that can be arbitrary. We will also define a group of solutions x(t) that are ...; 关键词：Non-Elementary Functions Second-Order Nonlinear Autonomous ODE

An Attempt to Make Non-Elementary Functions That Are Giving Solutions to Some Second-Order Nonlinear Autonomous ODEs被引量：2: 《Journal of Applied Mathematics and Physics》2022年第1期56-67,共12页Magne Stensland; In this paper, we define an exponential function whose exponent is the product of a real number and the upper limit of integration in a non-elementary integral that can be arbitrary. We are using Abel’s methods, desc...; 关键词：Non-Elementary Functions Second-Order Nonlinear Autonomous ODE

ANALYSIS ON A NUMERICAL SCHEME WITH SECOND-ORDER TIME ACCURACY FOR NONLINEAR DIFFUSION EQUATIONS: 《Journal of Computational Mathematics》2021年第5期777-800,共24页Xia Cui Guangwei Yuan Fei Zhao; This work is supported by the National Natural Science Foundation of China(11871112,11971069,11971071,U1630249);Yu Min Foundation and the Foundation of LCP.; A nonlinear fully implicit finite difference scheme with second-order time evolution for nonlinear diffusion problem is studied.The scheme is constructed with two-layer coupled discretization(TLCD)at each time step.It...; 关键词：Nonlinear diffusion problem Nonlinear two-layer coupled discrete scheme Second-order time accuracy Property analysis Unique existence CONVERGENCE

Hybrid Three-Dimensional Spiral WSe2 Plasmonic Structures for Highly Efficient Second-Order Nonlinear Parametric Processes被引量：4: 《Research》2018年第1期144-151,共8页Xianqing Lin Yingying Liu Kang Wang Xiaolong Liu Yongli Yan Yong Jun Li Jiannian Yao Yong Sheng Zhao; Tis work was supported fnancially by the Ministry of Science and Technology of China[Grant Nos.2017YFA0204502 and 2015CB932404];the National Natural Science Foundation of China[Grant Nos.21773265,21533013,and 21790364];and the Youth Innovation Promotion Association CAS[2014028].; Two-dimensional(2D)layered materials,with large second-order nonlinear susceptibility,are currently growing as an ideal candidate for fulflling tunable nanoscale coherent light through the second-order nonlinear optic...; 关键词：NONLINEAR LAYERED Highly

Consensus of second-order nonlinear multi-agent systems via sliding mode observer and controller被引量：1: 《Journal of Systems Engineering and Electronics》2017年第4期756-765,共10页Xiaolei Li Xiaoyuan Luo Shaobao Li Jianjin Li Xinping Guan; supported by the National Natural Science Foundation of China(61375105;61403334); This paper investigates the consensus problem of second-order nonlinear multi-agent systems (MASs) via the sliding mode control (SMC) approach. The velocity of each agent is assumed to be unmeasurable. A second-order ...; 关键词：nonlinear multi-agent system sliding mode observer CONSENSUS sliding mode controller

Kamenev-type criteria for nonlinear damped dynamic equations被引量：13: 《Science China Mathematics》2015年第7期1445-1452,共8页BOHNER Martin LI TongXing; supported by the Applied Mathematics Enhancement Program of Linyi University; We establish a new Kamenev-type theorem for a class of second-order nonlinear damped delay dynamic equations on a time scale by using the generalized Riccati transformation technique. The criterion obtained improves r...; 关键词：OSCILLATION second-order dynamic equation nonlinear damped delay equation time scale

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