TITLE:
Interval Integration Revisited
AUTHORS:
Sérgio Galdino
KEYWORDS:
Interval computing, self-validating methods, numerical integration & interval arithmetic
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.2 No.4B,
January
15,
2013
ABSTRACT: We present an overview of approaches to selfvalidatingone-dimensional integration quadrature formulas anda verified numerical integration algorithm with an adaptivestrategy. The new interval integration adaptive algorithm deliversa desired integral enclosure with an error bounded by a specifiederror bound. The adaptive technique is usually much moreefficient than Simpson’s rule and narrow interval results canbe reached.