On the construction of high-order integration formulae for the adaptive quadrature method

DOI10.1016/0377-0427(89)90348-8zbMath0685.65008OpenAlexW2077916030MaRDI QIDQ1262071

Tetsuya Sakurai, Sugiura, Hiroshi

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)90348-8

zbMATH Keywords

semi-dynamical systemsreusabilityoptimal formulaadaptive quadrature methodgraph-theoretical methodhigh-order integration formulaeminimal truncation errorsymmetric interpolatory formulae

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Computer aspects of numerical algorithms (65Yxx)

Related Items (3)

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

Uses Software

• CADRE

Cites Work

• The evaluation of definite integrals by interval subdivision
• Unnamed Item

This page was built for publication: On the construction of high-order integration formulae for the adaptive quadrature method