Doubly Adaptive Quadrature Routines Based on Newton–Cotes Rules

An extended doubly-adaptive quadrature m

An extended doubly-adaptive quadrature method based on the combination of the Ninomiya and the FLR schemes

✍ Takemitsu Hasegawa; Susumu Hibino; Yohsuke Hosoda; Ichizo Ninomiya 📂 Article 📅 2007 🏛 Springer US 🌐 English ⚖ 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