11. 10. 2013. Seminar: Aleksandar Cvetković


Friday 11 October 2013 at 2PM
IPB Library
Seminar organised by Scientific Computing Laboratory

dr Aleksandar Cvetković
School of Mechanical Engineering, University of Belgrade

Numerical integration

Abstract: First part of the lecture is concered with the computation of integrals. We present results obtained in the last ten years connected with numerical construction of the Gaussian quadrature rules with focus on the results obtained for the complex measures. Speed of convergence is analyzed and some bounds are presented. Second part of the lecture is concerned with the construction and existence of different variations of the Gaussian quadrature rules connected with the interval quadrature rules and general theory presented for the operator modified function values. Third part is connected with motivation for the quadrature rules using Muntz systems as well as some presentation of the stable numerical methods for the construction of such quadrature rules.