云南高校图书馆联盟文献共享服务平台- 国家自然科学基金(60373093)

国家自然科学基金(60373093): 作品数：16被引量：20H指数：3; 导出分析报告; 相关作者：王仁宏朱春钢周恒许艳赖义生更多>>; 相关机构：大连理工大学浙江工商大学北京师范大学更多>>; 相关期刊：《Numerical Mathematics(Theory,Methods and Applications)》《Progress in Natural Science:Materials International》《中国科学：数学》《Science China Mathematics》更多>>; 相关主题：PIECEWISECUTTHEOREMPARTITIONALGEBRAIC更多>>; 相关领域：理学自动化与计算机技术更多>>

B样条在一些渐近组合问题中的应用被引量：2: 《中国科学：数学》2010年第9期863-871,共9页许艳王仁宏; 国家自然科学基金(批准号:60373093;60533060;10801024;10726068;11071031);NSFC-广东联合基金(批准号:U0935004);中央高校基本科研业务费专项资金资助项目; 本文考察了B样条函数及其导数的渐近性质,并给出了收敛阶;考察了经典Eulerian数和两类广义Eulerian数的渐近性质;给出了以Hermite多项式表示的细化Eulerian数的渐近形式.Carlitz等人利用中心极限定理得到Eulerian数渐近公式的逼近阶为43...; 关键词：B样条 Eulerian数细化Eulerian数下降多项式渐近逼近

Real zeros of the zero-dimensional parametric piecewise algebraic variety被引量：3: 《Science China Mathematics》2009年第4期817-832,共16页LAI YiSheng WANG RenHong WU JinMing; supported by National Natural Science Foundation of China (Grant Nos. 10271022, 60373093,60533060);the Natural Science Foundation of Zhejiang Province (Grant No. Y7080068);the Foundation of Department of Education of Zhejiang Province (Grant Nos. 20070628 and Y200802999); The piecewise algebraic variety is the set of all common zeros of multivariate splines. We show that solving a parametric piecewise algebraic variety amounts to solve a finite number of parametric polynomial systems c...; 关键词：piecewise algebraic variety partial cylindrical algebraic decomposition number of real zeros 14M15 14Q10 41A15 41A46 65D07 65D10

Nther-type theorem of piecewise algebraic curves on quasi-cross-cut partition被引量：3: 《Science China Mathematics》2009年第4期701-708,共8页ZHU ChunGang & WANG RenHong School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China; supported by National Natural Science Foundation of China (Grant Nos. 60373093, 60533060,10726068, 10801024);the Innovation Foundation of Key Laboratory of High Temperature Gasdynamics of Chinese Academy of Sciences, China; The effect of Pr substitution for Dy on the magnetic and magnetostrictive properties, anisotropy, spin reorientation and Mssbauer effect of a series of Tb0.3Dy0.7-xPrx(Fe0.9Al0.1)1.95 (x=0,0.1,0.20,0.25,0.30,0.35) all...; 关键词：MAGNETOSTRICTION ANISOTROPY spin reorientation MSSBAUER

Comparison of CSC method and the B-net method for deducing smoothness condition: 《Progress in Natural Science:Materials International》2009年第1期25-31,共7页Renhong Wang,Kai Qu Institute of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China; supported by National Natural Science Foundation of China (Grant Nos.60533060,60373093,10726067,10726068 and 10801024); The first author of this paper established an approach to study the multivariate spline over arbitrary partition,and presented the so-called conformality method of smoothing cofactor(the CSC method).Farin introduced t...; 关键词：Multivariate spline Smoothing cofactor Global conformality condition B-net method Smoothness condition

拟贯穿剖分上分片代数曲线的Nther型定理被引量：2: 《中国科学（A辑）》2009年第1期27-33,共7页朱春钢王仁宏; 国家自然科学基金(批准号：60373093，60533060，10726068，10801014);中国科学院高温气体动力学重点实验室开放课题;大连理工大学数学+X资助项目; 代数曲线的Nther定理是代数几何中经典并且十分重要的结论.作为二元样条的零点集,分片代数曲线是经典代数曲线的推广.分片代数曲线的Nther型定理对研究二元样条空间的Lagrange插值有至关重要的作用.利用拟贯穿剖分的特点、二元样条...; 关键词：二元样条分片代数曲线 Nother型定理拟贯穿剖分

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

Numerical Integration Based on Bivariate Quartic Quasi-Interpolation Operators: 《Numerical Mathematics A Journal of Chinese Universities(English Series)》2007年第3期226-232,共7页Renhong Wang Xiaolei Zhang; This project was supported by the National Natural Science Foundation of China （No. 60373093, No. 60533060）.; In this paper,we propose a method to deal with numerical integral by using two kinds of C^2 quasi-interpolation operators on the bivariate spline space,and also dis- cuss the convergence properties and error estimates...; 关键词：数值积分双元四次拟插值算子奇异积分插值法

三角剖分上分片代数曲线的Nther型定理被引量：3: 《中国科学（A辑）》2007年第4期425-430,共6页朱春钢王仁宏; 国家自然科学基金(批准号:60373093;60533060);辽宁省教育厅科学研究计划(批准号:2005085)资助项目; 分片代数曲线是经典代数曲线的推广．贯穿剖分上的分片代数曲线的Nther型定理对构造二元样条空间的Lagrange插值适定结点组有非常重要的作用．文中利用二元样条的性质,给出了任意三角剖分上分片代数曲线的N(?)ther型定理．; 关键词：分片代数曲线二元样条 Noether型定理三角剖分

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

The Nother and Riemann-Roch type theorems for piecewise algebraic curve被引量：5: 《Science China Mathematics》2007年第2期165-182,共18页Yi-sheng LAI & Ren-hong WANG College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China; This work was supported by the National Natural Science Foundation of China (Grant Nos. 10271022, 60373093,60533060); A piecewise algebraic curve is a curve determined by the zero set of a bivariate spline function. In this paper, the Nother type theorems for Cμpiecewise algebraic curves are obtained. The theory of the linear series...; 关键词：PIECEWISE ALGEBRAIC CURVE PLACE cycle COMPLETE linear series.

高级检索 检索式检索

时间限定

期刊范围

学科限定全选

高级检索 检索式检索

时间限定

期刊范围

学科限定全选

国家自然科学基金(60373093)

检索结果分析

下载全文

高级检索检索式检索

时间限定

期刊范围

学科限定全选

高级检索 检索式检索

时间限定

期刊范围

学科限定全选

国家自然科学基金(60373093)

检索结果分析

下载全文

用户登录

高级检索检索式检索