Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637372 | Applied Mathematics and Computation | 2006 | 6 Pages |
Abstract
We show that numerically improved n-point Gauss–Legendre (NIGL) quadrature is interpolatory, has positive weights and is convergent as n → ∞. We derive expressions for both the analytical error and the numerical error. We demonstrate that, for n = 2 and n = 3, NIGL quadrature has weights and abscissae very similar to that of standard Gauss–Legendre quadrature.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J.S.C. Prentice,