SCL seminar by Aleksandar Cvetkovic

Prof. Aleksandar Cvetkovic from the Faculty of Mechanical Engineering, University of Belgrade, visited SCL and presented a seminar:

"Numerical Integration"


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.