Bivariate Simplex Spline Quasi-Interpolants

被引：5

作者：

Sbibih, D. ^{[1
]}

Serghini, A. ^{[1
]}

Tijini, A. ^{[1
]}

机构：

[1] Univ Mohammed 1, ESTO, MATSI Lab, Oujda, Morocco

来源：

NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2010年 / 3卷 / 01期

关键词：

Polar form; quasi-interpolation; simplex B-spline; POWELL-SABIN PARTITIONS; B-SPLINES;

D O I：

10.4208/nmtma.2009.m9004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 optimal approximation order. This method provides an efficient tool for describing many approximation schemes involving values and (or) derivatives of a given function.

引用

页码：97 / 118

页数：22

共 50 条

[1] Bivariate Simplex Spline Quasi-Interpolants
D.Sbibih
A.Serghini
A.Tijini
NumericalMathematics:Theory,MethodsandApplications, 2010, (01) : 97 - 118
[2] Trivariate spline quasi-interpolants based on simplex splines and polar forms
Serghini, A.
Tijini, A.
MATHEMATICS AND COMPUTERS IN SIMULATION, 2015, 118 : 343 - 359
[3] Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains
Paola Lamberti
BIT Numerical Mathematics, 2009, 49 : 565 - 588
[4] Numerical integration based on bivariate quadratic spline quasi-interpolants on bounded domains
Lamberti, Paola
BIT NUMERICAL MATHEMATICS, 2009, 49 (03) : 565 - 588
[5] A Family of Spline Quasi-Interpolants on the Sphere
O. Nouisser
D. Sbibih
Paul Sablonnière
Numerical Algorithms, 2003, 33 : 399 - 413
[6] A family of spline quasi-interpolants on the sphere
Nouisser, O
Sbibih, D
Sablonnière, P
NUMERICAL ALGORITHMS, 2003, 33 (1-4) : 399 - 413
[7] Two methods based on bivariate spline quasi-interpolants for solving Fredholm integral equations
Barrera, D.
Elmokhtari, F.
Sbibih, D.
APPLIED NUMERICAL MATHEMATICS, 2018, 127 : 78 - 94
[8] Integro spline quasi-interpolants and their super convergence
Wu, Jinming
Ge, Wurong
Zhang, Xiaolei
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (03):
[9] On trivariate blending sums of univariate and bivariate quadratic spline quasi-interpolants on bounded domains
Remogna, S.
Sablonniere, P.
COMPUTER AIDED GEOMETRIC DESIGN, 2011, 28 (02) : 89 - 101
[10] Quadratic spline quasi-interpolants and collocation methods
Foucher, Francoise
Sablonniere, Paul
MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 79 (12) : 3455 - 3465

← 1 2 3 4 5 →