The problem of constructing unsaturated quadrature formulae on an interval

DOI10.1070/SM8984zbMath1490.65037OpenAlexW2900762019WikidataQ128819559 ScholiaQ128819559MaRDI QIDQ4629696

Vladimir N. Belykh

Publication date: 28 March 2019

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8984

zbMATH Keywords

quadrature formulaexponential convergenceroundoff errorwell conditioningunsaturation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Numerical quadrature and cubature formulas (65D32)

Related Items (5)

Superconvergent algorithms for the numerical solution of the Laplace equation in smooth axisymmetric domains ⋮ Unnamed Item ⋮ Algorithm for construction of quadrature formulas with exponential convergence for linear operators acting on periodic functions ⋮ On the question of good conditionality of unsaturated quadrature formulas ⋮ Numerical implementation of nonstationary axisymmetric problems of an ideal incompressible fluid with a free surface

Cites Work

• An unsaturated numerical method for the exterior axisymmetric Neumann problem for Laplace's equation
• Some Erdős-Feldheim type theorems on mean convergence of Lagrange interpolation
• Estimating the quality of computational algorithms. I
• Estimating the quality of computational algorithms. II
• Particular features of implementation of an unsaturated numerical method for the exterior axisymmetric Neumann problem
• Nonsaturable quadrature formulas on an interval (on Babenko's problem)
• Asymptotically optimal unsaturated lattice cubature formulae with bounded boundary layer
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