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Lookup NU author(s): Dr Kenneth Wright
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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
Year: 1984
Volume: 4
Issue: 2
Pages: 185-202
ISSN (print): 0272-4979
ISSN (electronic): 1464-3642
Publisher: Oxford University Press
URL: http://dx.doi.org/10.1093/imanum/4.2.185
DOI: 10.1093/imanum/4.2.185
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