Increasing robustness in global adaptive quadrature through interval selection heuristics

DOI10.1145/399.400zbMath0542.65011OpenAlexW2007960173MaRDI QIDQ3330381

Henry D. Shapiro

Publication date: 1984

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/399.400

zbMATH Keywords

performancecomputational experienceactual errorAdaptive quadrature methodsalgorithm robustnessinterval selection strategy

Mathematics Subject Classification ID

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

Related Items (2)

Two-center overlap integrals, three dimensional adaptive integration, and prolate ellipsoidal coordinates ⋮ On the subdivision strategy in adaptive quadrature algorithms

Cites Work

• Local Versus Global Strategies for Adaptive Quadrature
• A Metalgorithm for Adaptive Quadrature
• An investigation of Romberg quadrature
• Notes on the Adaptive Simpson Quadrature Routine
• The evaluation of definite integrals by interval subdivision
• Comparison of several adaptive Newton-Cotes quadrature routines in evaluating definite integrals with peaked integrands
• On the automatic numerical evaluation of definite integrals
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