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Lookup NU author(s): Dr Clive Gerrard,
Dr Kenneth Wright
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This paper considers a matrix related to the solution by piecewise polynomial collocation using n subintervals of an mth-order ordinary differential boundary-value problem. It is shown that if the maximum subinterval size tends to zero as Formula the matrix norm tends to the norm of an operator related to the differential equation, under the assumption that the collocation points in each subinterval are assumed to be distributed identically and their associated interpolatory quadrature weights are positive.
Author(s): Gerrard C, 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
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