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, Yunanistan, 19 - 25 Eylül 2011, cilt.1389 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1389
  • Doi Numarası: 10.1063/1.3637823
  • Basıldığı Şehir: Halkidiki
  • Basıldığı Ülke: Yunanistan
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.