On the error control in ODE solvers with local extrapolation |
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Authors: | H. J. Stetter E. Weinmüller |
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Affiliation: | 1. Institut für Numerische Mathematik, Technische Universit?t Wien, Gusshausstrasse 27-29, A-1040, Wien, Austria
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Abstract: | Jackson, Enright, and Hull have analytically assessed the effectiveness of RK-algorithms for linear ODEs with constant coefficients. Their results may carry over to more general problems if a certain relation between the local error estimate and the true local error of the algorithm continues to hold. Numerical investigation of this relation for a code which performs local extrapolation gives some insight in the performance of the error control mechanism of such codes. |
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