Drazin inverse based numerical methods for singular linear differential systems

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• 作者：C. Coll ; D. Ginestar ; E. Sá ; nchez ; N. Thome ; ^{njthome@mat.upv.es}
• 关键词：Singular systems ; Numerical methods ; Shuffle algorithm ; Drazin inverse ; Index ; Differential equation
• 刊名：Advances in Engineering Software
• 出版年：2012
• 出版时间：August, 2012
• 年：2012
• 卷：50
• 期：Complete
• 页码：37-43
• 全文大小：352 K

文摘

In this paper, numerical methods for the solution of linear singular differential system are analysed. The numerical solution of initial value problems by means of a finite difference approach and a possible implementation of the Drazin inverse vector product is discussed. Examples of index 1 and index 2 differential algebraic equations have been studied numerically.