15/01/2013, 14:30 — 15:30 — Room P3, Mathematics Building, IST
Mário Graça, Instituto de Engenharia Mecânica-I.S.T
Fast symbolics for interpolatory quadrature rules
Quadrature rules are usually classified in terms of their degree of exactness. We show that the vector of weights of a rule, as the least-squares or minimax solution of a fundamental linear system, leads to a new parameter which we call the angle of the rule. Numerical evidence for some standard quadrature rules shows that the angle of a rule can be more interesting than its degree of exactness, providing an explanation why low degree rules can be almost performant as rules of much higher degree.
