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Extrapolated Magnus Methods
Authors:Bojan Orel
Institution:(1) Faculty of Computing Science and Informatics and Institute for Mathematics, Physics and Mechanics, University of Ljubljana, Trzcaronascaronka 25, 1000 Ljubljana, Slovenia
Abstract:This paper describes the use of extrapolation with Magnus methods for the solution of a system of linear differential equations. The idea is a generalization of extrapolation with symmetric methods for the numerical solution of ODEs, where each extrapolation step increases the order of the method by 2.This revised version was published online in October 2005 with corrections to the Cover Date.
Keywords:Geometric integration  Lie groups  Lie algebras  extrapolation
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