Mário M. Graça

activity

20022019

most citedA unified framework for the computation of polynomial quadrature weights and errors

5 citations · 10 across the 10 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.NA2012★ 2 cited

Quadrature as a least-squares and minimax problem

Mário M. Graça

The vector of weights of an interpolatory quadrature rule with $n$ preassigned nodes is shown to be the least-squares solution $ω$ of an overdetermined linear system here called {\…

math.NA2012★ 5 cited

A unified framework for the computation of polynomial quadrature weights and errors

Mário M. Graça, M. Esmeralda Sousa-Dias

For the class of polynomial quadrature rules we show that conveniently chosen bases allow to compute both the weights and the theoretical error expression of a $n$ -point rule via t…

math.NA2012

A Simple Derivation of Newton-Cotes Formulas with Realistic Errors

Mário M. Graça

In order to approximate the integral $I (f) = \int_{a}^{b} f (x) d x$ , where $f$ is a sufficiently smooth function, models for quadrature rules are developed using a given {\it panel} of $n…