Doubly adaptive quadrature routines based on Newton-Cotes rules

DOI10.1023/A:1026087703168zbMath1034.65017OpenAlexW1601285758MaRDI QIDQ1415402

Terje O. Espelid

Publication date: 4 December 2003

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026087703168

zbMATH Keywords

softwarealgorithmserror estimationMatlab codesNewton-Cotes rulesAdaptive quadratureadaptlobadaptsimLyness-Kaganove testregion of asymptotic behavior

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Packaged methods for numerical algorithms (65Y15)

Related Items (11)

A new quadrature routine for improper and oscillatory integrals ⋮ Chebfun and numerical quadrature ⋮ Discontinuity detection by null rules for adaptive surface reconstruction ⋮ Vectorized adaptive quadrature in MATLAB ⋮ An efficient and reliable quadrature algorithm for integration with respect to binomial measures ⋮ Comparison of Newton-Cotes and Gaussian methods of quadrature ⋮ Adaptive through-thickness integration for accurate springback prediction ⋮ On optimal adaptive quadratures for automatic integration ⋮ Numerical study of quantum transport in carbon nanotube transistors ⋮ Null rules for the detection of lower regularity of functions ⋮ Computation of an infinite integral using series acceleration

Uses Software

• Matlab
• QUADPACK
• DQAINT

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