A Gauss Quadrature Like Numerical Integration Approach Based on Hermite Interpolation with Node Optimisation


Okan A. , Baykara N. A. , Demiralp M.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Halkidiki, Greece, 19 - 25 September 2011, vol.1389 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1389
  • Doi Number: 10.1063/1.3637823
  • City: Halkidiki
  • Country: Greece

Abstract

A numerical integration method based on Hermite interpolation is developed in this work. The basic idea is to use Hermite interpolation as the approximating agent for the integrand multiplied by a weight function. The nodes are chosen to suppress the error term of the Hermite interpolation. Even though this is a preliminary study, various important findings have been obtained. Some illustrative numerical implementations are also given.