Theoretical and practical efficiency measures for symmetric interpolatory quadrature formulas

DOI10.1007/BF01934267zbMath0823.65019OpenAlexW2045831703MaRDI QIDQ1347075

Grazia Lotti, Paola Favati, Francesco Romani

Publication date: 6 November 1995

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01934267

zbMATH Keywords

quadrature ruleadaptive algorithmefficiency measure

Mathematics Subject Classification ID

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

Related Items (2)

New symmetric interpolatory quadrature formulas ⋮ An extended doubly-adaptive quadrature method based on the combination of the Ninomiya and the FLR schemes

Uses Software

• QUADPACK
• Algorithm 691

Cites Work

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• Testing automatic quadrature programs
• Asymptotic expansion of error in interpolatory quadrature
• On the construction of high-order integration formulae for the adaptive quadrature method
• Asymptotic behavior of automatic quadrature
• Local Versus Global Strategies for Adaptive Quadrature
• A technique for comparing automatic quadrature routines
• Interpolatory integration formulas for optimal composition
• Algorithm 691: Improving QUADPACK automatic integration routines

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