Adaptive Methods for Piecewise Polynomial Collocation for Ordinary Differential Equations
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- Dr Kenneth Wright
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| Author(s) | | Wright K |
| Publication type | | Report |
| Series Title | | School of Computing Science Technical Report Series |
| Year | | 2003 |
| Date | | May 2003 |
| Report Number | | 796 |
| Pages | | 21 |
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| Full text is available for this publication: |
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| 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. |
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| 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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