Generalized affine groups in exponential integrators

Most exponential integrators use functions similar to the exponential in their implementation. This report describes a structure in which these function play a central role, and the framework developed herein is believed to be applicable to further studies of these functions. The framework is constructed using ideas from Lie group methods, with generalized affine groups as the fundamental building block, for the solution of non-autonomous systems of ordinary differential equations. This work can be seen as an extension to work by Minchev.

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2006-4