Numerical integration based on bivariate quadratic spline quasi-interpolants on Powell-Sabin partitions

DOI10.1007/s10543-012-0391-3zbMath1268.65036OpenAlexW2043583977MaRDI QIDQ1944015

Paul Sablonniere, Mohamed Tahrichi, Driss Sbibih

Publication date: 3 April 2013

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-012-0391-3

zbMATH Keywords

numerical examplescubature rulespline quasi-interpolantquadratic splinesymmetric triangulationoptimal convergence ordersPowell-Sabin spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (12)

Algebraic hyperbolic spline quasi-interpolants and applications ⋮ Construction of approximation functionals for minimal splines ⋮ Numerical integration based on a multilevel quartic quasi-interpolation operator ⋮ Generalized spline quasi-interpolants and applications to numerical analysis ⋮ Non-uniform UE-spline quasi-interpolants and their application to the numerical solution of integral equations ⋮ Numerical integration based on trivariate \(C ^{2}\) quartic spline quasi-interpolants ⋮ On numerical quadrature for \(C^1\) quadratic Powell-Sabin 6-split macro-triangles ⋮ Increasing the approximation order of spline quasi-interpolants ⋮ Multiquadric trigonometric spline quasi-interpolation for numerical differentiation of noisy data: a stochastic perspective ⋮ Multiquadric quasi-interpolation for integral functionals ⋮ Approximation orders and shape preserving properties of the multiquadric trigonometric B-spline quasi-interpolant ⋮ Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions

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