Article ID Journal Published Year Pages File Type
4646049 Applied Numerical Mathematics 2008 19 Pages PDF
Abstract

A set of symmetric equidistant quadrature rules with equal internal weights are developed. Some of the rules use the first (and second) derivative(s) in addition to the function values of the integrand. A single unifying concept based on finite element techniques is used to develop this set of quadrature rules. With focus on the quadratures rules' degree of precision we compute the quadrature weights and error estimates for all rules given.

Related Topics
Physical Sciences and Engineering Mathematics Computational Mathematics