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On the use of Gauss quadrature in adaptive automatic integration schemes

✍ Scribed by Jarle Berntsen; Terje O. Espelid

Publisher
Springer Netherlands
Year
1984
Tongue
English
Weight
169 KB
Volume
24
Category
Article
ISSN
0006-3835

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✍ Takemitsu Hasegawa; Susumu Hibino; Yohsuke Hosoda; Ichizo Ninomiya πŸ“‚ Article πŸ“… 2007 πŸ› Springer US 🌐 English βš– 299 KB

Abstract An improvement is made to an automatic quadrature due to Ninomiya (J. Inf. Process. 3:162–170, 1980) of adaptive type based on the Newton–Cotes rule by incorporating a doubly-adaptive algorithm due to Favati, Lotti and Romani (ACM Trans. Math. Softw. 17:207–217, 1991; ACM Trans. Math. Softw