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国家自然科学基金(10271022): 作品数：16被引量：30H指数：3; 导出分析报告; 相关作者：王仁宏冯仁忠孟祥国韩滢朱春钢更多>>; 相关机构：大连理工大学朝阳师范高等专科学校浙江工商大学中国科学院数学与系统科学研究院更多>>; 相关期刊：《Numerical Mathematics(Theory,Methods and Applications)》《Progress in Natural Science:Materials International》《Journal of Computational Mathematics》《Applied Mathematics and Mechanics(English Edition)》更多>>; 相关主题：APPROXIMATIONHERMITEBIVARIATEEXISTENCEG^2连续更多>>; 相关领域：理学自动化与计算机技术更多>>

参系数零维分片代数簇的实零点被引量：2: 《中国科学（A辑）》2008年第10期1153-1167,共15页赖义生王仁宏吴金明; 国家自然科学基金(批准号：10271022，60373093，60533060);浙江省自然科学基金;浙江省教育厅基金(批准号：20070628);浙江工商大学青年人才基金资助项目; 分片代数簇是一些多元样条函数的公共零点集.文中表明:解参系数分片代数簇问题可转化为解有限个包含严格不等式的参系数多项式系统.利用半代数系统的正则分解和柱形代数分解方法,提出了计算零维参系数分片代数簇无挠实零点数的上确界,...; 关键词：参系数分片代数簇柱形代数分解实零点数

二阶微分方程两点边值问题解的存在性被引量：2: 《吉林师范大学学报（自然科学版）》2008年第2期42-43,48,共3页韩滢; 国家自然科学基金(10271022); 本文讨论二阶微分方程两点边值问题解的存在性.在不限制f∈C([0,1]×R2,R)增长,但满足一定符号条件的前提下,应用Leray-Schauder度原理中的一个不动点定理,证明了上述边值问题解的存在性.; 关键词：二阶两点边值问题解的存在性 Leray-Schauder度原理符号条件

A kind of bivariate spline space over rectangular partition and pure bending of thin plate被引量：1: 《Applied Mathematics and Mechanics(English Edition)》2007年第7期963-971,共9页王仁宏常锦才; Project supported by the National Natural Science Foundation of China(Nos.60533060,69973010 and 10271022); The mechanical background of the bivariate spline space of degree 2 and smoothness 1 on rectangular partition is presented constructively. Making use of mechanical analysis method, by acting couples along the interior...; 关键词：smoothing cofactor conformality condition pure bending of thin plate

一类超收敛数值差商公式研究被引量：1: 《计算数学》2007年第1期81-88,共8页许艳王仁宏许志强; 国家自然科学基金(批准号:10271022;19871010;60373093;60533060;10401021)资助项目; 本文针对充分光滑函数的数值差商公式的余项问题进行研究,对王兴华等于文[1]中提出的关于超收敛数值差商公式的猜想进行了证明,推广了该文中定理的适用范围,得到了比较广泛的一类超收敛的数值差商公式余项的lagrange表示．; 关键词：数值差商公式超收敛

APPROXIMATE IMPLICITIZATION BASED ON RBF NETWORKS AND MQ QUASI-INTERPOLATION被引量：1: 《Journal of Computational Mathematics》2007年第1期97-103,共7页Renhong Wang Jinming Wu; Project supported by the National Natural Science Fbundation of China(No.10271022,No.60373093 and No.60533060).; In this paper, we propose a new approach to solve the approximate implicitization problem based on RBF networks and MQ quasi-interpolation. This approach possesses the advantages of shape preserving, better smoothness...; 关键词：RBF networks MQ quasi-interpolation Approximate implicitization Rationalcurves

Lagrange Interpolation on a Sphere: 《Northeastern Mathematical Journal》2006年第2期139-142,共4页周恒王仁宏; The NNSF (10271022,69973010) of China.; In this paper, we obtain a properly posed set of nodes for interpolation on a sphere. Moreover it is applied to construct properly posed set of nodes for Lagrange interpolation on the trivariate polynomial space of to...; 关键词：Lagrange interpolation on a sphere properly posed set of nodes for interpolation trigonometric interpolation polar coordinate

The Existence and Local Behavior of the Bivariate Quadratic Function Approximation: 《Chinese Quarterly Journal of Mathematics》2006年第1期110-114,共5页ZHENG Cheng-de; Supported by the NNSF of China(10271022, 60373093);Supported by the Science and Technology Development Foundation of Education Department of Liaoning Province(2004C060); This paper analysis the local behavior of the bivariate quadratic function approximation to a bivariate function which has a given power series expansion about the origin. It is shown that the bivariate quadratic Herm...; 关键词：Hermite-Padé approximation bivariate function approximation bivariate analytic function

Orthogonal Laurent Polynomials and Their Zeros: 《Journal of Mathematical Research and Exposition》2006年第1期19-22,共4页周恒王仁宏; NNSF of China (10271022, 60373093, 69973010);the NSF of Guangdong Province (021755); In this note, we investigate the necessity for the measure dψ being a strong distribution, which is associated with the coefficients of the recurrence relation satisfied by the orthogonal Laurent polynomials. We also...; 关键词：orthogonal Laurent polynomials quadrature rule zeros of orthogonal Laurent polynomials.

ON COEFFICIENT POLYNOMIALS OF CUBIC HERMITE-PADé APPROXIMATIONS TO THE EXPONENTIAL FUNCTION: 《Journal of Computational Mathematics》2005年第4期383-392,共10页Cheng-de Zheng Guo-can Wang Zhi-bin Li; The polynomials related with cubic Hermite-Padé approximation to the exponential function are investigated which have degrees at most n, m, s respectively. A connection is given between the coefficients of each of th...; 关键词：Padé-type approximant Cubic Hermite-Padé approximation Hypergeometric function Saddle point method

Nother-type theorem of piecewise algebraic curves被引量：9: 《Progress in Natural Science:Materials International》2004年第4期309-313,共5页WANGRenhong ZHUChungang; Supported by the National Natural Science Foundation of China (Grant Nos. 10271022, 19871010 and 60373093);the Natural Science Foundation of Guangdong Province, China; The piecewise algebraic curve is a generalization of the classical algebraic curve. This paper describes the improvement of the Nother-type theorem of piecewise algebraic curves on the star region. Moreover, the Nothe...; 关键词：piecewise algebraic curves bivariate splines Nother-type theorem cross-cut partition.

国家自然科学基金(10271022)