Bivariate quasi-interpolating splines with applications in numerical integration

DOI10.1007/BF02925838zbMath1012.65021MaRDI QIDQ4799216

Cattarina Dagnino

Publication date: 18 March 2003

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

zbMATH Keywords

singular integralsfinite-part integralscubature rulesbivariate quasi-interpolating spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Spline approximation (41A15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

Numerical integration based on a multilevel quartic quasi-interpolation operator ⋮ Increasing the approximation order of spline quasi-interpolants ⋮ The Bézout number for linear piecewise algebraic curves

Cites Work

• Product integration of singular integrands using quasi-interpolatory splines
• Numerical integration based on approximating splines
• Product integration of logarithmic singular integrands based on cubic splines
• Numerical evaluation of hypersingular integrals
• Numerical integration of 2-D integrals based on local bivariate \(C^1\) quasi-interpolating splines
• Numerical integration based on quasi-interpolating splines
• On the numerical evaluation of two-dimensional principal value integrals
• A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• The Numerical Evaluation of a 2-D Cauchy Principal Value Integral Arising in Boundary Integral Equation Methods
• Multivariate Splines with Nondegenerate Partitions
• Numerical evaluation of Cauchy principal value integrals based on local spline approximation operators
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