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A lower bound for the number of function evaluations in an error estimate for numerical integration

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Publication:916937
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DOI10.1007/BF01888269zbMath0704.41019OpenAlexW2073170330WikidataQ57779018 ScholiaQ57779018MaRDI QIDQ916937

Ann Haegemans, Ronald Cools

Publication date: 1990

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01888269


zbMATH Keywords

numerical integrationcubature formulaepopular practical


Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical integration (65D30) Error analysis and interval analysis (65G99)


Related Items

On the construction of multi-dimensional embedded cubature formulae



Cites Work

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  • On the use of Gauss quadrature in adaptive automatic integration schemes
  • Optimal addition of knots to cubature formulae for planar regions
  • Practical error estimation in numerical integration
  • An embedded pair of cubature formulae of degree 5 and 7 for the triangle
  • On the construction of multi-dimensional embedded cubature formulae
  • An Imbedded Family of Fully Symmetric Numerical Integration Rules
  • On the Construction of Higher Degree Three-Dimensional Embedded Integration Rules
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