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A MAGNUS EXPANSION FOR THE EQUATION Y'= AY - YB 被引量:1

A MAGNUS EXPANSION FOR THE EQUATION Y'= AY - YB
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摘要 The subject matter of this paper is the representation of the solution of the linear differential equation Y = AY - YB, Y(0) = Yo, in the form y(t) = eΩ(t)Y0 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 generalization. The subject matter of this paper is the representation of the solution of the linear differential equation Y = AY - YB, Y(0) = Yo, in the form y(t) = eΩ(t)Y0 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 generalization.
出处 《Journal of Computational Mathematics》 SCIE CSCD 2001年第1期15-26,共12页 计算数学(英文)
关键词 Geometric integration Magnus expansions B aher- Campbell- Hausdorff formula. Geometric integration, Magnus expansions, B aher- Campbell- Hausdorff formula.
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