Multistep methods for differential algebraic equations (Q1904146)

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scientific article; zbMATH DE number 826912
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Multistep methods for differential algebraic equations
scientific article; zbMATH DE number 826912

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    Multistep methods for differential algebraic equations (English)
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    14 July 1996
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    Multistep methods for specially structured implicit nonlinear differential algebraic equations under index 1 conditions are considered. The existence and uniqueness of a numerical solution is shown. There is no discussion about the progress of this paper in comparison to previous ones, e.g. \textit{E. Griepentrog} and \textit{R. März} [Differential-algebraic equations and their numerical treatment (1986; Zbl 0629.65080)], which deals with this topic under more general assumptions.
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    stability
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    convergence
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    iterative method
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    multistep method
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    implicit nonlinear differential algebraic equations
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    index 1
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