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A New Test Frame for Ordinary Differential Equation Solvers

Please always quote using this URN: urn:nbn:de:0297-zib-3370
  • Benchmarking of ODE methods has a long tradition. Several sets of test problems have been developed and new problems are still collected. So, a whole variety of problems can be used to check the efficiency of a method under investigation. In general, efficiency is measured by the amount of work whi ch is necessary to get a reliable solution for a prescribed accura cy. In order to quantify the term ``amount of work'' usually not only the computing time is measured but also the number of calls of functional units. To quantify the term ``quality of a numerical solution'' usually the $l_2$--norm of the true error at the final point of the integration interval is used. In our contribution we first discuss some general aspects of benchmarking. Then we present a new test frame which allows to solve typical benchmark problems with some of the state of the art integrators within a unified framework. Finally we show some results of our benchmark tests. Part of the test frame can be used interactively in the World Wide Web.

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Metadaten
Author:Ulrich Nowak, Susanna Gebauer
Document Type:ZIB-Report
Date of first Publication:1997/12/19
Series (Serial Number):ZIB-Report (SC-97-68)
ZIB-Reportnumber:SC-97-68
Published in:Appeared in: ENUMATH 97, H.G. Bock et. al. eds., World Scientific, 1998, 479-486
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