Lie group integrators with non-autonomous frozen vector fields
by Borislav V. Minchev
International Journal of Computational Science and Engineering (IJCSE), Vol. 3, No. 4, 2007

Abstract: Lie group methods for non-autonomous semi-discretised in space, partial differential equations are considered. The use of time-dependent frozen vector fields and their corresponding algebra actions on a manifold is introduced. A new integration scheme, for the numerical solution of semi-linear problems, based on the so-called 'comutator-free Lie group methods', with algebra action arising from the proposed new framework is derived. The scheme is then compared with some existing methods in several numerical experiments.

Online publication date: Wed, 14-May-2008

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