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APPLICATIONS: 作品数：2481被引量：5723H指数：26; 导出分析报告; 相关领域：理学更多>>; 相关作者：白雨虹常唯张莹余琨马健更多>>; 相关机构：中国科学院东南大学中国科学技术大学中国科学院长春光学精密机械与物理研究所更多>>; 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高技术研究发展计划中国博士后科学基金更多>>

A review of computational modeling and deep brain stimulation:applications to Parkinson’s disease被引量：2: 《Applied Mathematics and Mechanics(English Edition)》2020年第12期1747-1768,共22页Ying YU Xiaomin WANG Qishao WANG Qingyun WANG; Project supported by the National Natural Science Foundation of China(Nos.11932003 and 11772019)。; Biophysical computational models are complementary to experiments and theories,providing powerful tools for the study of neurological diseases.The focus of this review is the dynamic modeling and control strategies of...; 关键词：computational model deep brain stimulation(DBS) Parkinson’s disease(PD) basal ganglia(BG)

Existence results for generalized vector equilibrium problems with applications: 《Applied Mathematics and Mechanics(English Edition)》2014年第7期913-924,共12页杨明歌黄南京; Project supported by the Key Program of the National Natural Science Foundation of China(NSFC)(No.70831005);the National Natural Science Foundation of China(Nos.11171237,11226228,and 11201214);the Science and Technology Program Project of Henan Province of China(No.122300410256);the Natural Science Foundation of Henan Education Department of China(No.2011B110025); By a coincidence theorem, some existence theorems of solutions are proved for four types of generalized vector equilibrium problems with moving cones. Applications to the generalized semi-infinite programs with the ge...; 关键词：generalized vector equilibrium problem generalized semi-infinite program abstract convex space -map

Applications of parabolized stability equation for predicting transition position in boundary layers被引量：1: 《Applied Mathematics and Mechanics(English Edition)》2012年第6期679-686,共8页李佳罗纪生; Project supported by the National Basic Research Program of China (No.2009CB724103); The phenomenon of laminar-turbulent transition exists universally in nature and various engineering practice. The prediction of transition position is one of crucial theories and practical problems in fluid mechanics ...; 关键词：transition position incompressible boundary layer parabolized stabilityequation （PSE） numerical simulation

Ultraconvergence for averaging discontinuous finite elements and its applications in Hamiltonian system: 《Applied Mathematics and Mechanics(English Edition)》2011年第7期943-956,共14页李灿华陈传森; Project supported by the National Natural Science Foundation of China (No. 10771063); This paper discusses the k-degree averaging discontinuous finite element solution for the initial value problem of ordinary differential equations. When k is even, the averaging numerical flux （the average of left an...; 关键词：averaging discontinuous finite element ULTRACONVERGENCE Hamiltoniansystem momentum conservation

Viscosity method for hierarchical fixed point and variational inequalities with applications被引量：1: 《Applied Mathematics and Mechanics(English Edition)》2011年第2期241-250,共10页张石生王雄瑞 H.W.J.LEE 陈志坚; supported by the Natural Science Foundation of Yibin University (No.2009Z3); A viscosity method for a hierarchical fixed point solving variational inequality problems is presented. The method is used to solve variational inequalities, where the involved mappings are non-expansive. Solutions ar...; 关键词：hierarchical fixed point non-expansive mapping fixed point viscosity approximation hierarchical minimization

Constraint-induced restriction and extension operators with applications: 《Applied Mathematics and Mechanics(English Edition)》2009年第11期1345-1352,共8页陈波李孝伟刘高联; supported by the National Natural Science Foundation of China (No.10772103);the Shanghai Leading Academic Discipline Project (No.Y0103); The Stokes operator is a differential-integral operator induced by the Stokes equations. In this paper, we analyze the Stokes operator from the point of view of the Helmholtz minimum dissipation principle. We show tha...; 关键词：Stokes operator induced operators restriction and extension variationalmethod Hodge decomposition eigenvalue problem

A parametric type of KKM theorem in FC-spaces with applications: 《Applied Mathematics and Mechanics(English Edition)》2009年第1期73-79,共7页邓磊臧小燕; Project supported by the National Natural Science Foundation of China (No. 10771173);the Natural Science Foundation Project of CQ CSTC (No. 2005BB2097); The paper first proves a characteristic property in FC-spaces. By the use of the connectedness of sets, a parametric type of KKM theorem is then established in noncompact FC-spaces by introducing a linear ordered spac...; 关键词：FC-subspace FC-parametric-quasiconvex mapping minimax inequality

Applications of new affine invariant for polytopes: 《Applied Mathematics and Mechanics(English Edition)》2008年第2期273-278,共6页杨柳何斌吾; Project supported by the National Natural Science Foundation of China (No.10671119); To study the Schneider＇s projection problem, Lutwak, Yang and Zhang recently introduced a new .affine invariant functional U（P） for convex polytopes in R^n. In the paper, we obtain the analytic expression of the af...; 关键词：convex polytope affine invariant Minkowski problem VOLUME

Analytical solutions for thermal forcing vortices in boundary layer and its applications: 《Applied Mathematics and Mechanics(English Edition)》2007年第4期429-439,共11页刘晓冉李国平; Project supported by the National Key Basic Research and Development Project of China(No.2004CB418300);the National Natural Science Foundation of China (No.40375023); Using the Boussinesq approximation, the vortex in the boundary layer is assumed to be axisymmetrical and thermal-wind balanced system forced by diabatic heating and friction, and is solved as an initial-value problem ...; 关键词：VORTEX boundary layer analytical solutions thermal forcing STRUCTURE

PREDICTION TECHNIQUES OF CHAOTIC TIME SERIES AND ITS APPLICATIONS AT LOW NOISE LEVEL被引量：1: 《Applied Mathematics and Mechanics(English Edition)》2006年第1期7-14,共8页马军海王志强陈予恕; Project supported by the National Natural Science Foundation of China(Nos.70271071,19990510,D0200201); The paper not only studies the noise reduction methods of chaotic time series with noise and its reconstruction techniques, but also discusses prediction techniques of chaotic time series and its applications based on...; 关键词：chaotic time series noise reduction essential characteristic extraction nonlinear model predict technology

APPLICATIONS