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Lookup NU author(s): Dr Kenneth Wright
This paper introduces some subdivision criteria for use in adaptive algorithms for the solution of ordinary differential equations by piecewise polynomial collocation methods. These criteria aim to take into account the influence of the behaviour in one subinterval on the error of others. These criteria 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 criteria based on estimates of the global error is emphasised.
Author(s): Wright K, Ahmed AHA, Seleman AH
Publication type: Report
Publication status: Published
Series Title: Computing Laboratory Technical Report Series
Year: 1989
Pages: 26
Print publication date: 01/07/1989
Source Publication Date: July 1989
Report Number: 289
Institution: Computing Laboratory, University of Newcastle upon Tyne
Place Published: Newcastle upon Tyne
URL: http://www.cs.ncl.ac.uk/publications/trs/papers/289.pdf