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Lookup NU author(s): Dr Kenneth Wright
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.
Author(s): Wright K
Publication type: Report
Publication status: Published
Series Title: School of Computing Science Technical Report Series
Year: 2003
Pages: 21
Print publication date: 01/05/2003
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
