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ELLIPTIC: 作品数：540被引量：522H指数：9; 导出分析报告; 相关领域：理学更多>>; 相关作者：杨国英赵围围胡万宝陈逢林龚伟更多>>; 相关机构：和之合股份有限公司中国科学院数学与系统科学研究院北京理工大学杭州电子科技大学更多>>; 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国家教育部博士点基金广东省自然科学基金更多>>

Methods for Exact Solutions of Nonlinear Ordinary Differential Equations: 《数学进展》2025年第2期379-389,共11页Robert CONTE Micheline MUSETTE Tuen Wai NG WU Chengfa; partially supported by RGC(No.17307420);supported by NSFC(No.12471077)。; In order to find closed form solutions of nonintegrable nonlinear ordinary differential equations,numerous tricks have been proposed.The goal of this short review is to explain how a theorem of Eremenko on meromorphic...; 关键词：elliptic solution complex Ginzburg-Landau equation Closed-form solution Nevanlinna theory

A CELL-CENTERED MULTIGRID SOLVER FOR THE FINITE VOLUME DISCRETIZATION OF ANISOTROPIC ELLIPTIC INTERFACE PROBLEMS ON IRREGULAR DOMAINS: 《Journal of Computational Mathematics》2025年第1期18-42,共25页Kejia Pan Xiaoxin Wu Hongling Hu Zhilin Li; supported by the National Natural Science Foundation of China(Grant No.42274101);X.X.Wu was supported by the Fundamental Research Funds for the Central Universities of Central South University(Grant No.2020zzts354);H.L.Hu was supported by the National Natural Science Foundation of China(Grant No.12071128);by the Natural Science Foundation of Hunan Province(Grant No.2021JJ30434);Z.L.Li was supported by a Simons Grant No.633724.; The aim of this paper is to develop a fast multigrid solver for interpolation-free finite volume (FV) discretization of anisotropic elliptic interface problems on general bounded domains that can be described as a uni...; 关键词：Elliptic interface problem Discontinuous coefficients Anisotropic coefficients Cascadic multigrid method Richardson extrapolation

Design and kinematics analysis of a cable-stayed notch manipulator for transluminal endoscopic surgery: 《Biomimetic Intelligence & Robotics》2024年第4期99-108,共10页Yanqiang Lei Fuxin Du Huajian Song Liping Zhang; supported by the National Key Research and Development Program of China(2023YFB4705800 and 2022YFB4703000);the Key Research and Development Program of Shandong Province,China(2022CXGC010503);Shandong Provincial Postdoctoral Innovative Talents Funded Scheme,China(238226).; The friction between the joints of the continuum manipulator with discrete joints brings great difficulties to kinematic modeling.The traditional driving wire arrangement limits the load capacity of the manipulator.A ...; 关键词：Medical robot Comprehensive elliptic integral solution Kinematics Notch continuum manipulator Transluminal endoscopic surgery

Path Integral Approach to the Interaction of Two-Electron Atoms with Elliptically Polarized Pulses: 《Journal of Applied Mathematics and Physics》2024年第11期3655-3678,共24页Emmanouil George Thrapsaniotis; We study the dynamics of a two-electron atom interacting with a pulsed, elliptically polarized, ultrashort, excited coherent state. We use path integral methods and integrate on the photonic part. We angularly decompo...; 关键词：HELIUM Path Integrals Angular Decomposition Sign Solved Propagator Elliptic Polarization

A FINITE DIFFERENCE METHOD FOR TWO DIMENSIONAL ELLIPTIC INTERFACE PROBLEMS WITH IMPERFECT CONTACT: 《Journal of Computational Mathematics》2024年第5期1328-1355,共28页Fujun Cao Dongfang Yuan Dongxu Jia Guangwei Yuan; supported by the National Natural Science Foundation of China(Grants 12261067,12161067,12361088,62201298,12001015,51961031);the Inner Mongolia Autonomous Region"Youth Science and Technology Talents"support program(Grant NJYT20B15);the Inner Mongolia Scientific Fund Project(Grants 2020MS06010,2021LHMS01006,2022MS01008);by the Innovation fund project of Inner Mongolia University of science and technology-Excellent Youth Science Fund Project(Grant 2019YQL02).; In this paper two dimensional elliptic interface problem with imperfect contact is considered,which is featured by the implicit jump condition imposed on the imperfect contact interface,and the jumping quantity of the...; 关键词：Finite difference method Elliptic interface problem Imperfect contact

WEAK-STRONG UNIQUENESS FOR THREE DIMENSIONAL INCOMPRESSIBLE ACTIVE LIQUID CRYSTALS: 《Acta Mathematica Scientia》2024年第4期1415-1440,共26页Fan YANG Congming LI; partially supported by NSFC(11831003,12031012);the Institute of Modern Analysis-A Frontier Research Center of Shanghai。; The hydrodynamics of active liquid crystal models has attracted much attention in recent years due to many applications of these models.In this paper,we study the weak-strong uniqueness for the Leray-Hopf type weak so...; 关键词：analysis of parabolic and elliptic types weak-strong uniqueness active liquid crystals weak solution energy equality

A Priori Error Analysis for NCVEM Discretization of Elliptic Optimal Control Problem: 《Engineering（科研）》2024年第4期83-101,共19页Shiying Wang Shuo Liu; In this paper, we propose the nonconforming virtual element method (NCVEM) discretization for the pointwise control constraint optimal control problem governed by elliptic equations. Based on the NCVEM approximation o...; 关键词：Nonconforming Virtual Element Method Optimal Control Problem a Priori Error Estimate

本刊英文版2024年67卷第3期(475-712)摘要: 《中国科学：数学》2024年第3期I0003-I0006,共4页; Multiplicity of solutions for the semilinear subelliptic Dirichlet problem Hua Chen,Hong-Ge Chen,Jin-Ning Li&Xin Liao Abstract In this paper,we study the semilinear subelliptic equation■where■self-adjoint Hormander ...; 关键词：ELLIPTIC SEMILINEAR satisfying

Universal method for designing periodic orbits by homotopy classes in the elliptic restricted three-body problem: 《Astrodynamics》2024年第1期175-188,共14页Yue Zheng Min Zhao; The current methods for designing periodic orbits in the elliptic restricted three-body problem(ERTBP)have the disadvantages of targeting limited orbits and ergodic searches and considering only symmetric orbits.A uni...; 关键词：periodic orbit elliptic restricted three-body problem(ERTBP) TOPOLOGY homotopy circular restricted three-body problem(CRTBP)

Local MFS Matrix Decomposition Algorithms for Elliptic BVPs in Annuli: 《Numerical Mathematics(Theory,Methods and Applications)》2024年第1期93-120,共28页C.S.Chen Andreas Karageorghis Min Lei; We apply the local method of fundamental solutions(LMFS)to boundary value problems(BVPs)for the Laplace and homogeneous biharmonic equations in annuli.By appropriately choosing the collocation points,the LMFS discreti...; 关键词：Local method of fundamental solutions Poisson equation biharmonic equation matrix decomposition algorithms fast Fourier transforms

ELLIPTIC