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