A simple, efficient and more reliable scheme for automatic numerical integration

DOI10.1016/0010-4655(93)90035-BzbMath0854.65017OpenAlexW2058324173MaRDI QIDQ1923755

José M. Pérez-Jordá, Emilio San-Fabián

Publication date: 22 January 1997

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(93)90035-b

zbMATH Keywords

error estimatemultiple integralsGauss-Chebyshev quadrature formulasautomatic numerical integration

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Remainders in approximation formulas (41A80)

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Uses Software

• QUADPACK

Cites Work

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• A method for numerical integration on an automatic computer
• Numerical quadrature by extrapolation
• The efficiency of extrapolation methods for numerical integration
• Bemerkungen zur Romberg-Integration
• Generalized Chebyshev Interpolation and Its Application to Automatic Quadrature
• Double Integration Using One-Dimensional Adaptive Quadrature Routines: A Software Interface Problem
• An investigation of Romberg quadrature
• An Algorithm Based on the FFT for a Generalized Chebyshev Interpolation
• When Not to Use an Automatic Quadrature Routine