QUASI-INTERPOLATION

作品数：18被引量：62H指数：5
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Accuracy Raising Technique for Multivariate Spline Quasi-Interpolants over Type-2 Triangulations
《Journal of Mathematical Research with Applications》2022年第3期318-330,共13页Shenggang ZHANG Chungang ZHU Qinjiao GAO 
Supported by the National Natural Science Foundation of China(Grant Nos.12071057;11671068;12001487);the Characteristic&Preponderant Discipline of Key Construction Universities in Zhejiang Province(Zhejiang Gongshang University-Statistics)。
Given a multivariate quasi-interpolation operator with the partition of unity property,we propose a method to raise the accuracy with simple knots.The resulting operators possess higher accuracy while not requiring an...
关键词：QUASI-INTERPOLATION polynomial reproduction multivariate spline numerical solution 
Rational Quasi-Interpolation Approximation of Scattered Data in R^(3)被引量：2
《Numerical Mathematics(Theory,Methods and Applications)》2018年第1期169-186,共18页Renzhong Feng Lifang Song 
The work was supported by the National Natural Science Foundation of China(No.11271041,No.91630203);CASP of China Grant(No.MJ-F-2012-04).
This paper is concerned with a piecewise smooth rational quasi-interpolation with algebraic accuracy of degree(n+1)to approximate the scattered data in R 3.We firstly use the modified Taylor expansion to expand the me...
关键词：Scattered data mean value coordinates interpolation modified Taylor expansion rational quasi-interpolation algebraic accuracy 
Spherical Scattered Data Quasi-interpolation by Gaussian Radial Basis Function被引量：2
《Chinese Annals of Mathematics,Series B》2015年第3期401-412,共12页Zhixiang CHEN Feilong CAO 
supported by the National Natural Science Foundation of China(Nos.61272023,61179041)
Since the spherical Gaussian radial function is strictly positive definite, the authors use the linear combinations of translations of the Gaussian kernel to interpolate the scattered data on spheres in this article. ...
关键词：Scattered data APPROXIMATION Spherical Gaussian radial basis function Modulus of continuity 
A meshless scheme for partial differential equations based on multiquadric trigonometric B-spline quasi-interpolation
《Chinese Physics B》2014年第11期152-156,共5页高文武 王志刚 
supported by the Shanghai Guidance of Science and Technology,China(Grant No.12DZ2272800);the Natural Science Foundation of Education Department of Anhui Province,China(Grant No.KJ2013B203);the Foundation of Introducing Leaders of Science and Technology of Anhui University,China(Grant No.J10117700057)
Based on the multiquadric trigonometric B-spline quasi-interpolant, this paper proposes a meshless scheme for some partial differential equations whose solutions are periodic with respect to the spatial variable. This...
关键词：QUASI-INTERPOLATION meshless collocation PERIODICITY divided difference 
On the Approximation of the Derivatives of Spline Quasi-Interpolation in Cubic Spline Space S_(3)^(1,2)(∆_(mn)^((2)))被引量：8
《Numerical Mathematics(Theory,Methods and Applications)》2014年第1期1-22,共22页Jiang Qian Fan Wang 
The authors wish to express our great appreciation to Prof.Renhong Wang for his valuable suggestions.Also,the authors would like to thank Dr.Chongjun Li and Dr.Chungang Zhu for their help;This work is supported by National Basic Research Program of China(973 Project No.2010CB832702);R and D Special Fund for Public Welfare Industry(Hydrodynamics,Grant No.201101014);National Science Funds for Distinguished Young Scholars(Grant No.11125208);Programme of Introducing Talents of Discipline to Universities(111 project,Grant No.B12032);This work is supported by the Fundamental Research Funds for the Central Universities,and Hohai University Postdoctoral Science Foundation 2016-412051.
In this paper,based on the basis composed of two sets of splines with distinct local supports,cubic spline quasi-interpolating operators are reviewed on nonuniform type-2 triangulation.The variation diminishing operat...
关键词：Bivariate splines conformality of smoothing cofactor method nonuniform type-2 triangulation QUASI-INTERPOLATION modulus of continuity 
A MULTIVARIATE MULTIQUADRIC QUASI-INTERPOLATION WITH QUADRIC REPRODUCTION被引量：3
《Journal of Computational Mathematics》2012年第3期311-323,共13页Renzhong Feng Xun Zhou 
In this paper, by using multivariate divided differences to approximate the partial derivative and superposition, we extend the multivariate quasi-interpolation scheme based on dimension-splitting technique which can ...
关键词：QUASI-INTERPOLATION Multiquadric functions Polynomial reproduction ：Pn-exact A-discretization of ：Da Approximation error. 
Generator,multiquadric generator,quasi-interpolation and multiquadric quasi-interpolation
《Applied Mathematics(A Journal of Chinese Universities)》2011年第4期390-400,共11页WU Zong-min MA Li-min 
Supported by the 973program-2006CB303102;SGST 09DZ 2272900;NSFC No.11026089
The aim of this survey paper is to propose a new concept ＂generator＂. In fact, generator is a single function that can generate the basis as well as the whole function space. It is a more fundamental concept than ba...
关键词：GENERATOR function representation approximation numerical differentiation multiquadric quasi-interpolation 
Applying Multiquadric Quasi-Interpolation to Solve KdV Equation被引量：1
《Journal of Mathematical Research and Exposition》2011年第2期191-201,共11页Min Lu XIAO Ren Hong WANG Chun Gang ZHU 
Supported by the National Natural Science Foundation of China (Grant Nos. 11070131; 10801024; U0935004);the Fundamental Research Funds for the Central Universities, China
Quasi-interpolation is very useful in the study of approximation theory and its applications,since it can yield solutions directly without the need to solve any linear system of equations.Based on the good performance...
关键词：KdV equation multiquadric（MQ） quasi-interpolation numerical solution 
Stability of multiquadric quasi-interpolation to approximate high order derivatives被引量：5
《Science China Mathematics》2010年第4期985-992,共8页MA LiMin 1,2 & WU ZongMin 1,1 Shanghai Key Laboratory for Contemporary Applied Mathematics,School of Mathematical Sciences,Fudan University,Shanghai 200433,China 2 Department of Information and Computer Science,Zhejiang Gongshang University,Hangzhou 310018,China 
supported by the Major State Basic Research Development Program of China (973 Program) (Grant No.2006CB303102);the Science and Technology Commission of Shanghai Municipality (Grant No.09DZ2272900)
Numerical simulation of the high order derivatives based on the sampling data is an important and basic problem in numerical approximation,especially for solving the differential equations numerically.The classical me...
关键词：numerical differential radial basis functions (RBFs) Hardy’s MULTIQUADRIC (MQ) quasiinterpolation divided difference method white noise EXPECTATION variance 
Bivariate Simplex Spline Quasi-Interpolants
《Numerical Mathematics(Theory,Methods and Applications)》2010年第1期97-118,共22页D.Sbibih A.Serghini A.Tijini 
In this paper we use the simplex B-spline representation of polynomials or piecewise polynomials in terms of their polar forms to construct several differential or discrete bivariate quasi interpolants which have an o...
关键词：Polar form QUASI-INTERPOLATION simplex B-spline. 
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