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B-convergence results for linearly implicit one step methods
Authors:K Strehmel  R Weiner
Institution:(1) Sektion Mathematik, Martin-Luther-Universität Halle-Wittenberg, Weinbergweg 17, DDR-4020 Halle, German Democratic Republic
Abstract:B-consistency andB-convergence of linearly implicit one step methods with respect to a class of arbitrarily stiff semi-linear problems are considered. Order conditions are derived. An algorithm for constructing methods of order>1 is shown and examples are given. By suitable modifications of the methods the occurring order reduction is decreased.
Keywords:65L05  65L07
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