Year: 2001
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 1 : pp. 15–26
Abstract
The subject matter of this paper is the representation of the solution of the linear differential equation $Y'= AY - YB, Y(0) = Y_0,$ in the form $Y(t) = e^{Ω(t)}Y_0$ and the representation of the function n as a generalization of the classical Magnus expansion. An immediate application is a new recursive algorithm for the derivation of the Baker-Campbell-Hausdorff formula and its symmetric generalisation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8953
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 1 : pp. 15–26
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Geometric integration Magnus expansions Baker-Campbell-Hausdorff formula.