Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9507151 | Applied Mathematics and Computation | 2005 | 11 Pages |
Abstract
It is well known that Gauss-Lobatto quadrature ruleâ«-11f(x)dxââi=1nwif(xi)+pf(-1)+qf(1),is exact for polynomials of degree at most 2n + 1. In this paper we are going to find a formula which is approximately exact for monomials xj, j = 0, 1, â¦, 2n + 3 instead of being analytically exact for monomials xj, j = 0, 1, â¦, 2n + 1. We also consider a class of functions for which the new formula produces better results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M.R. Eslahchi, M. Masjed-Jamei, E. Babolian,