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A discussion of a new error estimate for adaptive quadrature

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Publication:1123534
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DOI10.1007/BF01952683zbMath0677.65018MaRDI QIDQ1123534

Terje O. Espelid, Tor Sørevik

Publication date: 1989

Published in: BIT (Search for Journal in Brave)


zbMATH Keywords

error estimatenumerical experimentadaptive quadratureautomated integration routineGauss-Kronrod ruleGauss-Legendre rulepractical convergence criterion


Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)


Related Items (4)

Testing automatic quadrature programs ⋮ Local error estimates in quadrature ⋮ Null rules for the detection of lower regularity of functions ⋮ On the subdivision strategy in adaptive quadrature algorithms


Uses Software

  • CUBTRI
  • Unnamed Item



Cites Work

  • Unnamed Item
  • Sharper error estimates in adaptive quadrature
  • Practical error estimation in numerical integration
  • Algorithm 584: CUBTRI: Automatic Cubature over a Triangle
  • When Not to Use an Automatic Quadrature Routine




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