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Lookup NU author(s): Dr Kenneth Wright
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This paper introduces some subdivision criterion functions for use in adaptive algorithms for the solution of linear ordinary differential equations by piecewise polynomial collocation methods. These criterion functions aim to take into account the influence of the behaviour in one subinterval on the error in others. They are compared with various alternatives using examples which include problems with interior or boundary layers. These examples illustrate some of the difficulties which can arise. The danger of using criterion functions based on estimates of the global error is emphasized.
Author(s): Wright K, Ahmed AHA, Seleman AH
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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