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Bivariate Simplex Spline Quasi-Interpolants

Bivariate Simplex Spline Quasi-Interpolants
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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. 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.
机构地区 University Mohammed I
出处 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2010年第1期97-118,共22页 高等学校计算数学学报(英文版)
关键词 拟插值 二元 单样条 分段多项式 有效工具 最佳逼近阶 近似描述 B样条 Polar form, quasi-interpolation, simplex B-spline.
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参考文献27

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