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Douglas N. Arnold: A Concise Introduction to Numerical Analysis. Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN 55455 (2001). http://www.ima.umn.edu/~arnold/

has been cited by the following article:

• 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.