18/8/2020
Speaker: Cleonice Bracciali
Title: Computing quadrature formulae on the real line and on the unit circle.
Abstract: In this talk we consider the theoretical and numerical aspects of the quadrature rules associated with sequences of polynomials generated by a special $R_{II}$ recurrence relation. We look into some methods for generating the nodes (which lie on the real line) and the positive weights of these quadrature rules. With a transformation these quadrature rules on the real line also lead to certain positive quadrature rules of highest algebraic degree of precision on the unit circle. Joint work with J.A. Pereira and A. Sri Ranga.
https://drive.google.com/file/d/1H_nGvy15xdT20Lw6nZNt0B9fLmsjk0f0/view?usp=sharing