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CONVEX: 作品数：523被引量：666H指数：10; 导出分析报告; 相关领域：理学更多>>; 相关作者：刘锋张翰董道珍汪远征张文俊更多>>; 相关机构：北京航空航天大学清华大学北京理工大学吉林大学更多>>; 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北京市自然科学基金更多>>

A class of Hessian quotient equations in warped product manifolds: 《Science China Mathematics》2025年第3期637-648,共12页Weimin Sheng Ke Xue; supported by National Key R&D Program of China(Grant No.2022YFA1005500);National Natural Science Foundation of China(Grant Nos.12031017 and 11971424)。; Given a compact Riemannian manifold M and an open interval I in R,we consider a warped product manifold M=I×φM.For a positive function f defined on M,we obtain the existence of the(η,k)-convex hypersurfaceΣwhich s...; 关键词：warped product manifold (η k)-convex curvature equation

High Power,Compact Picosecond Pulse Compression Based on Concave-Convex Cavity: 《Chinese Physics Letters》2025年第2期67-71,共5页Zhenwen Huang Pinbin Li Xiaowei Xing Qi Liu Kejian Wang Wenjun Liu Hao Teng Jiangfeng Zhu Zhiyi Wei; supported by the National Key Research and Development Program of China(Grant Nos.2022YFA1604200 and 2022YFB4601101);the Beijing Municipal Commission of Science and Technology(Grant No.Z231100006623006);the Beijing Natural Science Foundation(Grant No.JQ21019);the National Natural Science Foundation of China(Grant Nos.12034020,11975001,12075034,and 12261131495)。; By combining a concave-convex multi-pass cavity with solid-state nonlinear media for spectral broadening and a post-compression grating setup,we generated femtosecond pulses with high peak power density.Compared to th...; 关键词：REPETITION configuration COMPACT

The Number of Boundary H-points of Convex H-quadrilateral: 《数学进展》2025年第1期177-186,共10页WEI Xianglin ZHU Weili; Supported by NSFC(No.12271139)。; An H-polygon is a polygon with corners in the set of vertices of a tiling of R~2 by regular hexagons of unit edge.It is known that any H-triangle with exactly k interior H-points can have at most 3k+7 boundary H-point...; 关键词：discrete geometry regular hexagonal tiling H-quadrilateral H-point

Experimental Study on the Hydrodynamic Characteristics of a Convex-Type Floating Breakwater: 《China Ocean Engineering》2025年第1期135-148,共14页LIANG Jia-ming LIU Yong LI Xue-yan; financially supported by the National Natural Science Foundation of China(Grant No.52088102);New Cornerstone Science Foundation through the XPLORER PRIZE.; Floating breakwaters(FBs)are commonly employed for the protection of coastal installations.In this work,a convextype floating breakwater(FB)is proposed,and its hydrodynamic characteristics are studied through systemat...; 关键词：experimental test convex-type floating breakwater mooring system hydrodynamic characteristic motion response mooring force

Directional Derivative and Subgradient of Cone-Convex Set-Valued Mappings with Applications in Set Optimization Problems: 《Journal of the Operations Research Society of China》2024年第4期1103-1125,共23页Yu Han; supported by the National Natural Science Foundation of China(11801257).; In this paper,we introduce a new directional derivative and subgradient of set-valued mappings by using a nonlinear scalarizing function.We obtain some properties of directional derivative and subgradient for cone-con...; 关键词：Set optimization problem Nonlinear scalarizing function Directional derivative SUBGRADIENT

A SINGULAR DIRICHLET PROBLEM FOR THE MONGE-AMPÈRE TYPE EQUATION: 《Acta Mathematica Scientia》2024年第5期1965-1983,共19页Zhijun ZHANG Bo ZHANG; supported by Shandong Provincial NSF(ZR2022MA020).; We consider the singular Dirichlet problem for the Monge-Ampère type equation■=0,whereΩis a strictly convex and bounded smooth domain in■is positive and strictly decreasing in(0,∞)with■is positive inΩ.We obtain...; 关键词：Monge-Ampère equation a singular boundary value problem the unique convex solution global asymptotic behavior

The UNIFORM C^(0)ESTIMATE AND WEIGHTED ESTIMATE OF GENERALIZED CHRISTOFFEL-MINKOWSKI PROBLEMS: 《数学杂志》2024年第5期397-405,共9页ZHANG Jin-hu; Supported by National Natural Science Foundation of China(12171260).; In this paper,we consider generalized Christo®el-Minkowski problems as followsσ_(k)(u_(ij)+uδ_(ij))/σ_(l)(u_(ij)+uδ_(ij))=|u^(p-1)f(x),x∈S^(n),where 0≤l≤k≤n,p-1>0 and f is positive,and we establish the weighte...; 关键词：weighted gradient estimate convex solution minkowski type problem

Monolithic Convex Limiting for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral-Element Methods: 《Communications on Applied Mathematics and Computation》2024年第3期1860-1898,共39页Andrés M.Rueda-Ramírez Benjamin Bolm Dmitri Kuzmin Gregor J.Gassner; We extend the monolithic convex limiting(MCL)methodology to nodal discontinuous Galerkin spectral-element methods(DGSEMS).The use of Legendre-Gauss-Lobatto(LGL)quadrature endows collocated DGSEM space discretizations ...; 关键词：Structure-preserving schemes Subcellﬂux limiting Monolithic convex limiting(MCL) Discontinuous Galerkin spectral-element methods(DGSEMS) Legendre-Gauss-Lobatto(LGL)nodes

ConGCNet:Convex geometric constructive neural network for Industrial Internet of Things: 《Journal of Automation and Intelligence》2024年第3期169-175,共7页Jing Nan Wei Dai Chau Yuen Jinliang Ding; The intersection of the Industrial Internet of Things(IIoT)and artificial intelligence(AI)has garnered ever-increasing attention and research interest.Nevertheless,the dilemma between the strict resource-constrained n...; 关键词：Industrial Internet of Things Lightweight geometric constructive neural network Convex optimization RESOURCE-CONSTRAINED Matrix theory

A Reliable Iteration Algorithm for One-Bit Compressive Sensing on the Unit Sphere: 《Acta Mathematicae Applicatae Sinica》2024年第3期801-822,共22页Yan-cheng LU Ning BI An-hua WAN; supported by the National Natural Science Foundation of China(Nos.12171496,12171490,11971491 and U1811461);Guangdong Basic and Applied Basic Research Foundation(2024A1515012057)。; The one-bit compressed sensing problem is of fundamental importance in many areas,such as wireless communication,statistics,and so on.However,the optimization of one-bit problem coustrained on the unit sphere lacks an...; 关键词：one-bit compressed sensing difference of convex algorithm iteration algorithm ■1-minimization

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