New error bounds for Boole's rule

2018/08/08 by Krukowski, Mateusz
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1808.02803

Abstract

In recent years, a lot of research was devoted to Simpson's rule for numerical integration. In the paper we study a natural successor of Simpson's rule, namely the Boole's rule. It is the Newton-Cotes formula in the case where the interval of integration is divided into four subintervals of equal length. With computer software assistance, we prove novel error bounds for Boole's rule.

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