A Comparison between Derivations of Hermite ’ s and Simpson ’ s Rules

  title={A Comparison between Derivations of Hermite ’ s and Simpson ’ s Rules},
  author={Vito Lampret},
Five ways how to introduce the basic Simpson’s rule for numerical integration within the first calculus course are presented. Special attention is devoted to the error term. Since the presented methods have different levels of complexities, the amount of time and effort needed in their application for the derivation of Simpson’s rule is different. Paper indicates that the derivation of Hermite’s rule is not more complicated than is the derivation of Simpson’s rule; moreover the Hermite’s rule… CONTINUE READING

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