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| 1 | AN ANISOTROPIC NONCONFORMING FINITE ELEMENT WITH SOME SUPERCONVERGENCE RESULTS显示文摘The main aim of this paper is to study the error estimates of a nonconforming finite element with some superconvergence results under anisotropic meshes. The anisotropic interpolation error and consistency error estimates are obtained by using some novel approaches and techniques, respectively. Furthermore, the superclose and a superconvergence estimate on the central points of elements are also obtained without the regularity assumption and quasi-uniform assumption requirement on the meshes. Finally, a numerical test is carried out, which coincides with our theoretical analysis. | Dong-yangShi Shi-pengMao Shao-chunChen | 2005 | Journal of Computational Mathematics2005，23，3： | 184 |
| 2 | CONVERGENCERATESIN THESTRONG LAWSOFASYMPTOTICALLY NEGATIVELY ASSOCIATEDRANDOM FIELDS显示文摘In this paper, a notion of negative side ρ \|mixing ( ρ\+- \|mixing) which can be regarded as asymptotic negative association is defined, and some Rosenthal type inequalities for ρ\+- \|mixing random fields are established. The complete convergence and almost sure summability on the convergence rates with respect to the strong law of large numbers are also discussed for ρ\+-\| mixing random fields. The results obtained extend those for negatively associated sequences and ρ\+*\| mixing random fields. | Zhang Lixin\ Wang Xiuyun | 1999 | Applied Mathematics(A Journal of Chinese Universities)1999，14，4： | 52 |
| 3 | CONVERGENCE ANALYSIS FOR A NONCONFORMING MEMBRANE ELEMENT ON ANISOTROPIC MESHES显示文摘有限元素网孔的常规假设为常规一致元素 andnonconform-ing 元素两个都是有限元素近似的大多数分析的一个基本条件。这篇论文的目的是介绍处理一个四度的非一致的有限元素的近似的一条新奇途径因为第二在各向异性的网孔上订椭圆形的问题。没有在那里喉部的假设或伪制服假设的精力标准和 L2 标准的最佳的错误估计基于此处发现的这个元素的一些新特殊特征被获得。数字结果被给表明我们的理论分析的有效性。 | Dong-yang Shi Shao-chun Chen Ichiro Hagiwara | 2005 | Journal of Computational Mathematics2005，23，4： | 43 |
| 4 | 圈和D_n图的补图的色唯一性显示文摘圈和Dn图的补图的色唯一性王守中刘儒英(青海师范大学数学系,西宁810008)关键词图,色多项式,色唯一性.分类号AMS(1991)05C/CCLO157.5用Pn和Cn表示有n个顶点的路和圈.用Dn表示把K3的一个顶点与Pn-2的一个一度顶点重迭后... | 王守中 刘儒英 | 1998 | Journal of Mathematical Research and Exposition1998，18，2： | 44 |
| 5 | AN ANISOTROPIC NONCONFORMING FINITE ELEMENT METHOD FOR APPROXIMATING A CLASS OF NONLINEAR SOBOLEV EQUATIONS显示文摘各向异性的 nonconforming 有限元素方法为非线性的 Sobolev 方程的一个班被介绍。最佳的错误估计和 supercloseness 为半分离、充分分离的近似计划被获得,它与传统的有限元素方法一样。另外,全球 superconvergence 通过 postprocessing 技术被导出。数字实验被包括说明建议方法的可行性。[从作者抽象] | Dongyang Shi Haihong Wang Yuepeng Du | 2009 | Journal of Computational Mathematics2009，27，2： | 49 |
| 6 | 关于切点单形的两个不等式显示文摘定义 在n维欧氏空间En中,设n维单形∑A的顶点为Ai(i=1,2…,n+1),ZA的内切球和各侧面的切点设为Ai',则称以Ai'为顶点的单形∑A'为单形∑A的切点单形。 若从n维单形∑A(∑A')的n+1个顶点中任取m+1个顶点,则可组成μ=()个子单形,这些m维单形的体积记为Vh(m)(Vh(m)[m=1,2,…,n;h=1,2,…,。若(Vh(m)2(Vh(m)2的λ次初等对称多项式记为Pλ、Pλ';Vh(m)、Vh(m)的λ次初等对称多项式记为Qλ、Qλ'[λ=1,2,…,]。 | 苏化明 | 1990 | Journal of Mathematical Research and Exposition1990，10，2： | 43 |
| 7 | A Note on HilbertsIntegral Inequalities显示文摘In this note,by introudcing a couple of parameters T,t and estimating the weight function effectively,Hilberts integral inequalities are well generalized. As applications,we give some new Hilbers type inequalities. | 杨必成 | 1998 | Chinese Quarterly Journal of Mathematics1998，13，4： | 50 |
| 8 | The Generalized Roper-Suffridge Extension Operator for Locally Biholomorphic Mappings显示文摘In this paper, we introduce the generalized R oper-Suffridge extension operator for locally biholomorphic mappings. It is sh own that this operator preserves the starlikeness on some Reinhardt domains and does not preserve convexity for some cases. Meanwhile, the growth theorem and di stortion theorem of the corresponding mappings are given. | LIU Xiao-song,LIU Tai-shun (Department of Mathematics, University of Science and Technology of C hina, Hefei 230026, China) | 2003 | Chinese Quarterly Journal of Mathematics2003，18，3： | 47 |
| 9 | A NEW REGULARITY CLASS FOR THE NAVIER-STOKES EQUATIONS IN IR^n显示文摘ANEWREGULARITYCLASSFORTHENAVIER-STOKESEQUATIONSINIR~n￥H.BEIRaODAVEIGA(DepotmentofMathematics,PisaUniversity,Pisa,Italy)Abstra?.. | H. BEIRaO DA VEIGA (Department of Mathematics, Pisa University, Pisa, Italy) | 1995 | Chinese Annals of Mathematics,Series B1995，16，4： | 38 |
| 10 | THE GROWTH THEOREM FOR STARLIKE MAPPINGS ON BOUNDED STARLIKE CIRCULAR DOMAINS显示文摘The authors obtain the growth and covering theorem for the class of normalized biholomorphic starlike mappings on bounded starlike circular domains.This type of domain discussed is rather general, since the domain must be starlike if there exists a normalized biholomorphic starlike mapping on it. In the unit disc, it is just the famous growth and covering theorem for univalent functions.This theorem successfully realizes the initial idea of H. Cartan about how to extend geometric function theory from one variable to several complex variables. | LIU TAISHUN (Department of Mathematics, University of Science and Technology of China, Hefei 230026, China)REN GUANGBIN (Department of Mathematics, University of Science and Technology of China, Hefei 230026, China) | 1998 | Chinese Annals of Mathematics,Series B1998，19，4： | 39 |
| 11 | P_(q-1)的补图的色唯一性显示文摘用P_n表示有n个顶点的路。本文证明了,如果q>5是素数,则P_(q-1)的补图是色唯一的。 | 刘儒英 | 1994 | Journal of Mathematical Research and Exposition1994，14，3： | 39 |
| 12 | L-fuzzy集与素元集合套显示文摘本文在L是完全分配格时,借助于素元极大集概念引入了素元集合套,它是集合套概念的推广.从而得到了一般Lfuzzy集的若干新的分解定理与表现定理. | 史福贵 | 1996 | Journal of Mathematical Research and Exposition1996，16，3： | 35 |
| 13 | 具偏差变元的Liénard型方程的周期解显示文摘在本文中,Liénard型方程周期解存在性的结果被推广到具偏差变元的Liénard型方程x+f[x(t-σ)]x(t-σ)+β(t)g[x(t-τ(t))]=p(t)=p(t+T). | 李永昆 | 1998 | Journal of Mathematical Research and Exposition1998，18，4： | 35 |
| 14 | TRAVELING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR DISPERSIVE EQUATIONS显示文摘The method of the phase plane is emploied to investigate the solitary and periodic traveling waves for a class of nonlinear dispersive partial differential equations.By using the bifurcation theory of dynamical systems to do qualitative analysis,all possible phase portraits in the parametric space for the traveling wave systems are obtained.It can be shown that the existence of a singular straight line in the traveling wave system is the reason why smooth solitary wave solutions converge to solitary cusp wave solution when parameters are varied.The different parameter conditions for the existence of solitary and periodic wave solutions of different kinds are rigorously determined. | LIJIBIN LIUZHENGRONG | 2002 | Chinese Annals of Mathematics,Series B2002，23，3： | 38 |
| 15 | 涉及两个单形的一类不等式显示文摘本文中,我们建立了下列主要结果: 定理 设∑A和∑B为n维Euclid空间En(n>2)中的两个单形,它们的棱长分别是ai,bi(i=1,2,…,cn+12),它们的体积分别是V1和V2,则当θ∈(0。 | 陈计 马援 | 1989 | Journal of Mathematical Research and Exposition1989，9，2： | 32 |
| 16 | A NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION WITH MOVING GRIDS FOR STOKES PROBLEM显示文摘这篇论文被奉献给非与动人的格子遵守有限元素计划的五个参数因为速度压力在 2-D 混合了非静止的 Stokesproblem 的明确的表达。我们证明这个元素有各向异性的行为并且基于一些新奇技术在速度和压力的一些某些标准导出各向异性的错误评价。特别通过我们得到的小心的分析,一致性错误评价上的有趣的结果,它从来没被看见过为混合了有限元素方法在以前文学。 | Dong-yang Shi Yi-ran Zhang | 2006 | Journal of Computational Mathematics2006，24，5： | 33 |
| 17 | ON SPECTRAL METHODS FOR VOLTERRA INTEGRAL EQUATIONS AND THE CONVERGENCE ANALYSIS显示文摘这个工作的主要目的是为 Volterra 不可分的方程提供一条新奇数字途径基于一光谱途径。一个 Legendre 搭配方法被建议解决第二种类型的 Volterra 不可分的方程。如果内核函数和来源函数是足够地光滑的,我们为建议方法提供严密错误分析,它显示数字错误指数地腐烂。数字结果证实领带的理论预言集中的指数的率。在这个工作的结果似乎是第一成功光谱途径(与理论理由) 为 Volterra 类型方程。 | Tao Tang Xiang XU Jin Cheng | 2008 | Journal of Computational Mathematics2008，26，6： | 32 |
| 18 | 一类时滞双曲方程的振动准则显示文摘本文考虑一类滞量为连续分布型的双曲偏泛函微分方程解的振动性质,给出了这类方程在三类边值条件下解的振动准则. | 王培光 傅希林 俞元洪 | 1998 | Journal of Mathematical Research and Exposition1998，18，1： | 33 |
| 19 | 二阶微分方程Neumann边值问题正解存在性(英文)显示文摘本文利用锥不动点定理证明了-u”+Mu=f(t,u),u’(0)=u’(1)=0和u”+Mu= f(t,u),u’(0)=u’(1)= 0两个二阶微分方程 Neumann边值问题正解的存在性。 | 蒋达清 刘辉昭 | 2000 | Journal of Mathematical Research and Exposition2000，20，3： | 31 |
| 20 | ON THE HYPER ORDER OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS显示文摘The author investigates the hyper order of solutions of the higher order linear equation, andimproves the results of M. Ozawa[15], G. Gundersen[6] and J. K. Langley[12]. | CHEN ZONGXUAN Department of Mathematics, Jiangxi Normai University, Nanchang 330027, China. Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China. | 2003 | Chinese Annals of Mathematics,Series B2003，24，4： | 34 |
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