An algorithm for numerical integration based on quasi-interpolating splines

DOI10.1007/BF02109185zbMath0811.65016MaRDI QIDQ1315226

Elisabetta Santi, Vittoria Demichelis, Cattarina Dagnino

Publication date: 2 May 1995

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

convergenceerror boundquadrature formulaeCauchy principal value integralsnumerical algorithmquasi-interpolating splines

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Numerical integration based on quasi-interpolating splines ⋮ The use of modified quasi-interpolatory splines for the solution of the Prandtl equation ⋮ On the numerical solution of the generalized Prandtl equation using variation-di/-minishing splines ⋮ Numerical integration based on a multilevel quartic quasi-interpolation operator ⋮ On the evaluation of Cauchy principal value integrals by rules based on quasi-interpolating splines ⋮ Projector-splines in the numerical solution of integro-differential equations ⋮ Uniform convergence for cauchy principal value integrals of modified quasi-interpolatory splines^∗ ⋮ Error estimate and extrapolation of a quadrature formula derived from a quartic spline quasi-interpolant ⋮ Numerical integration based on bivariate quadratic spline quasi-interpolants on Powell-Sabin partitions ⋮ Numerical integration based on trivariate \(C ^{2}\) quartic spline quasi-interpolants ⋮ Quasi-interpolatory splines based on Schoenberg points ⋮ Numerical evaluation of Cauchy principal value integrals based on local spline approximation operators ⋮ On spline quasi-interpolation through dimensions ⋮ Spline approximation with interpolation constraints for numerical integration

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