Browse by author
Lookup NU author(s): Dr Kenneth Wright
Full text for this publication is not currently held within this repository. Alternative links are provided below where available.
This paper shows that a matrix related to the n-point collocation solution of mth order ordinary differential equations using global polynomials has maximum norm which tends, as n → to the maximum norm of an operator related to the differential equation if the collocation points are chosen as the zeros of certain orthogonal polynomials. The results justify a simple a posteriori estimate for the error in the mth derivative of the corresponding solution.This result is a consequence of a stronger result that the norm of the difference between the matrix mentioned above and another matrix associated with the differential equation tends to zero as n →.
Author(s): Wright K
Publication type: Article
Publication status: Published
Journal: IMA Journal of Numerical Analysis
ISSN (print): 0272-4979
ISSN (electronic): 1464-3642
Publisher: Oxford University Press
Altmetrics provided by Altmetric