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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>>

Three-dimensional mixed convection stagnation-point fow past a vertical surface with second-order slip velocity: 《Applied Mathematics and Mechanics(English Edition)》2023年第4期641-652,共12页A.V.ROSCA N.C.ROSCA I.POP; Project supported by the Executive Agency for Higher Education Research Development and Innovation Funding of Romania(No.PN-III-P4-PCE-2021-0993)。; This study is concerned with the three-dimensional(3D)stagnation-point for the mixed convection flow past a vertical surface considering the first-order and secondorder velocity slips.To the authors’knowledge,this is...; 关键词：three-dimensional(3D)mixed convection flow stagnation point flow first-order slip velocity second-order slip velocity numerical solution stability analysis

Determination of activity interaction parameters of Nb in Fe-C-Nb melts at 1873 K: 《Journal of Iron and Steel Research International》2022年第3期403-407,共5页Jie Zhang Da-ya Wang Bai-jun Yan; support of this research by the National Natural Science Foundation of China(Grant Nos.51774025,51534001);Fundamental Research Funds for the Central Universities(Grant No.FRF-TP-20-009A1).; The interaction parameters of Nb in Fe-C-Nb melts at 1873 K were measured using the chemical equilibrium method.The Fe-C melts were equilibrated with the CaO-MgO-Al_(2)O_(3)-NbO_(2) slags under a controlled oxygen pot...; 关键词：NB Fe-C-Nb melt Chemical equilibrium method First-order interaction parameter Second-order interaction parameter

A Brief Introduction to Manifold Optimization被引量：8: 《Journal of the Operations Research Society of China》2020年第2期199-248,共50页Jiang Hu Xin Liu Zai-Wen Wen Ya-Xiang Yuan; Xin Liu’s research was supported in part by the National Natural Science Foundation of China(No.11971466);Key Research Program of Frontier Sciences,Chinese Academy of Sciences(No.ZDBS-LY-7022);the National Center for Mathematics and Interdisciplinary Sciences,Chinese Academy of Sciences and the Youth Innovation Promotion Association,CAS.Zai-Wen Wen’s research was supported in part by the the National Natural Science Foundation of China(Nos.11421101 and 11831002);the Beijing Academy of Artificial Intelligence.Ya-Xiang Yuan’s research was supported in part by the National Natural Science Foundation of China(Nos.11331012 and 11461161005).; Manifold optimization is ubiquitous in computational and appliedmathematics,statistics,engineering,machine learning,physics,chemistry,etc.One of the main challenges usually is the non-convexity of the manifold constra...; 关键词：Convergence First-order-type algorithms Manifold optimization RETRACTION Second-order-type algorithms

Variable-step-size second-order-derivative multistep method for solving first-order ordinary differential equations in system simulation: 《International Journal of Modeling, Simulation, and Scientific Computing》2020年第1期42-57,共16页Lei Zhang Chaofeng Zhang Mengya Liu; supported by the National Natural Science Foundation of China Under Grant No.61773008.; According to the relationship between truncation error and step size of two implicit second-order-derivative multistep formulas based on Hermite interpolation polynomial,a variable-order and variable-step-size numeric...; 关键词：Numerical method variable step size variable order hermite interpolation ordinary differential equations

Optimality Conditions for Rank-Constrained Matrix Optimization: 《Journal of the Operations Research Society of China》2019年第2期285-301,共17页Xin-Rong Li Wen Song Nai-Hua Xiu; This research was supported by the National Natural Science Foundation of China(Nos.11431002 and 11371116).; In this paper,we comprehensively study optimality conditions for rank-constrained matrix optimization(RCMO).By calculating the Clarke tangent and normal cones to a rank-constrained set,along with the given Fréchet,Mo...; 关键词：Matrix optimization Rank constraint Normal cone First-order optimality condition Second-order optimality condition

Optimality conditions for sparse nonlinear programming被引量：8: 《Science China Mathematics》2017年第5期759-776,共18页PAN LiLi XIU NaiHua FAN Jun; supported by National Natural Science Foundation of China(Grant No.11431002);Shandong Province Natural Science Foundation(Grant No.ZR2016AM07); The sparse nonlinear programming （SNP） is to minimize a general continuously differentiable func- tion subject to sparsity, nonlinear equality and inequality constraints. We first define two restricted constraint qu...; 关键词：sparse nonlinear programming constraint qualification normal cone first-order optimality con-dition second-order optimality condition

Exact Boundary Observability for a Kind of Second-Order Quasilinear Hyperbolic Systems被引量：2: 《Chinese Annals of Mathematics,Series B》2016年第6期803-820,共18页Ke WANG; supported by the National Natural Science Foundation of China(No.11526050); Based on the theory of semi-global classical solutions to quasilinear hyperbolic systems, the local exact boundary observability for a kind of second-order quasilinear hyperbolic systems is obtained by a constructive ...; 关键词：First-order quasilinear hyperbolic systems Second-order quasilinear hyperbolic systems Exact boundary observability Mixed initial-boundary value problem

The Numerical Accuracy Analysis of Asymptotic Homogenization Method and Multiscale Finite Element Method for Periodic Composite Materials被引量：1: 《Computer Modeling in Engineering & Sciences》2016年第5期395-419,共25页Hao Dong Yufeng Nie Zihao Yang Yang Zhang YataoWu; the National Natural Science Foundation of China(No.11501449 and 11471262);the Center for high performance computing of Northwestern Polytechnical University.; In this paper,we discuss the numerical accuracy of asymptotic homogenization method(AHM)and multiscale finite element method(MsFEM)for periodic composite materials.Through numerical calculation of the model problems f...; 关键词：ASYMPTOTIC HOMOGENIZATION METHOD Multiscale finite element METHOD FIRST-ORDER AHM Slight FLUCTUATIONS SECOND-ORDER AHM Severe FLUCTUATIONS

On Solutions of Sparsity Constrained Optimizatio被引量：4: 《Journal of the Operations Research Society of China》2015年第4期421-439,共19页Li-Li Pan Nai-Hua Xiu Sheng-Long Zhou; supported in part by the National Natural Science Foundation of China(Nos.11431002,71271021).; In this paper,we mainly study the existence of solutions to sparsity constrained optimization(SCO).Based on the expressions of tangent cone and normal cone of sparsity constraint,we present and characterize two first-...; 关键词：Sparsity constrained optimization Tangent cone Normal cone First-order optimality condition Second-order optimality condition

Obstacles and Opportunities for ICT Integration in Indigenous Schools: 《US-China Education Review(A)》2014年第1期54-62,共9页Guadalupe Tinajero-Villavicencio Carmen Pérez-Fragoso; The aim of this paper is to discuss the main obstacles and opportunities to information and communication technology （ICT） integration in schools serving indigenous communities in one zone of Northern Mexico. The th...; 关键词：information and communication technology （ICT） integration first-order barriers second-order barriers indigenous education school principals basic education Mexico

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