Affiliation:
1. Brown Univ., Providence, RI
Abstract
Two efficient methods for automatic numerical integration are Romberg integration and adaptive Simpson integration. For integrands of the form ƒ(
x
)
g
(
x, α
) where
α
is a parameter, it is shown that Romberg's method is more efficient. A FORTRAN program shows how to achieve this greater efficiency.
Publisher
Association for Computing Machinery (ACM)
Reference33 articles.
1. BAUER F. L. Algorithm 60 Romberg integration. Comm. ACM 4 (1961) 255
2. see also Comm. ACM 5 (1962) 168 281. 10.1145/366573.366594 BAUER F. L. Algorithm 60 Romberg integration. Comm. ACM 4 (1961) 255
3. see also Comm. ACM 5 (1962) 168 281. 10.1145/366573.366594
4. BAUER F. L. La m6thode d'int6gration num4rique de Romberg. Colloque Bur l'analyse num4rique 22-24 mars 1961 a Mons 119-129. BAUER F. L. La m6thode d'int6gration num4rique de Romberg. Colloque Bur l'analyse num4rique 22-24 mars 1961 a Mons 119-129.
5. New aspects in numerical quadrature
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