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Adaptive Methods for Piecewise Polynomial Collocation for Ordinary Differential Equations

Lookup NU author(s): Dr Kenneth Wright

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Abstract

Various adaptive algorithms for the solution of ordinary differential boundary value problems using piecewise polynomial collocation are considered. Five different criteria are compared using both interval subdivision and mesh redistribution. All the algorithms are based on the idea of equidistribution of a criterion. It is, however, shown that when accuracy is poor that equidistribution may not give a unique solution. The main results indicate that mesh redistribution is more reliable than interval subdivision, and give an evaluation of the five criteria.


Publication metadata

Author(s): Wright K

Publication type: Report

Series Title: School of Computing Science Technical Report Series

Year: 2003

Pages: 21

Source Publication Date: May 2003

Report Number: 796

Institution: School of Computing Science, University of Newcastle upon Tyne

Place Published: Newcastle upon Tyne

URL: http://www.cs.ncl.ac.uk/publications/trs/papers/796.pdf


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