Interval Integration Revisited

作     者：Sérgio Galdino 

作者机构：Polytechnic School of Pernambuco University Rua Benfica 455 - Madalena 50.750-470 - Recife - PE - Brazil 

出 版 物：《Open Journal of Applied Sciences》 (应用科学（英文）)

年 卷 期：2012年第2卷第4期

页      面：108-111页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Interval computing self-validating methods numerical integration & interval arithmetic 

摘      要：We present an overview of approaches to selfvalidating?one-dimensional integration quadrature formulas and?a verified numerical integration algorithm with an adaptive?strategy. The new interval integration adaptive algorithm delivers?a desired integral enclosure with an error bounded by a specified?error bound. The adaptive technique is usually much more?efficient than Simpson’s rule and narrow interval results can?be reached.