Interpolatory integration formulas for optimal composition

DOI10.1145/108556.108571zbMath0900.65052OpenAlexW2093346307MaRDI QIDQ4371756

Francesco Romani, Grazia Lotti, Paola Favati

Publication date: 9 February 1998

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

Full work available at URL: http://www.acm.org/pubs/contents/journals/toms/1991-17/

zbMATH Keywords

adaptive quadraturetrapezoidal ruleprogram testinginterpolatory quadrature

Mathematics Subject Classification ID

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

Related Items

STRATIFIED SEQUENCES OF NESTED QUADRATURE FORMULAS ⋮ Theoretical and practical efficiency measures for symmetric interpolatory quadrature formulas ⋮ New symmetric interpolatory quadrature formulas ⋮ Testing automatic quadrature programs ⋮ An extended doubly-adaptive quadrature method based on the combination of the Ninomiya and the FLR schemes ⋮ Asymptotic expansion of error in interpolatory quadrature ⋮ Increasing reliability of Gauss-Kronrod quadrature by Eratosthenes' sieve method ⋮ Peano kernel behaviour and error bounds for symmetric quadrature formulas

Uses Software

• QUADPACK
• Algorithm 691