Practical error estimation in adaptive multidimensional quadrature routines

DOI10.1016/0377-0427(89)90036-8zbMath0692.41030OpenAlexW2074792320MaRDI QIDQ583536

Jarle Berntsen

Publication date: 1989

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90036-8

zbMATH Keywords

error estimatesadaptive multidimensional quadrature routines

Mathematics Subject Classification ID

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

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Uses Software

• TESTPACK

Cites Work

• Remarks on algorithm 006: An adaptive algorithm for numerical integration over an N-dimensional rectangular region
• An adaptive algorithm for numerical integration over an \(n\)-dimensional cube
• Comments on the Nature of Automatic Quadrature Routines
• Symmetric integration rules for hypercubes. I. Error coefficients
• Numerical Evaluation of Multiple Integrals
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