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
  • Istanbul Technical University Affiliated: Yes

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.