Cubature Error Bounds for Analytic Functions

DOI10.2307/2005670zbMath0304.65020OpenAlexW4243458219MaRDI QIDQ4060256

Frank G. Lether

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2005670

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical integration (65D30)

Related Items (4)

Gaussian cubature: a practitioner's guide ⋮ Error bounds for direct and composite cubature formulae. I ⋮ Error bounds for direct and composite cubature formulae. II ⋮ An algorithm for one- and two-dimensional quadrature rules

Cites Work

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• Error bounds for the evaluation of integrals by repeated Gauss-type formulae
• Bounds on the error of Gauss-type quadratures
• Numerical Evaluation of Multiple Integrals II
• On Error Bounds for Gaussian Cubature
• The Remainder of Certain Linear Approximation Formulas in Two Variables
• On the Estimation of Errors of Gaussian Cubature Formulas
• An Error Analysis for Numerical Multiple Integration. I
• Eberlein Measure and Mechanical Quadrature Formulae. II. Numerical Results
• A Generalized Product Rule for the Circle
• Numerical Evaluation of Multiple Integrals
• An Error Representation for Product Cubature Rules
• Error Bounds for Fully Symmetric Cubature Rules
• An Error Analysis for Numerical Multiple Integration. III
• Cubature Error Bounds for Gauss-Legendre Product Rules
• Cross-Product Cubature Error Bounds
• Smoothest Approximation Formulas
• Estimating errors of numerical approximation for analytic functions

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