Multistep methods for differential algebraic equations
Copyright policy )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.
- University of Pittsburgh United States
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, convergence, iterative method, implicit nonlinear differential algebraic equations, Nonlinear ordinary differential equations and systems, stability, index 1, Stability and convergence of numerical methods for ordinary differential equations, Implicit ordinary differential equations, differential-algebraic equations, multistep method
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, convergence, iterative method, implicit nonlinear differential algebraic equations, Nonlinear ordinary differential equations and systems, stability, index 1, Stability and convergence of numerical methods for ordinary differential equations, Implicit ordinary differential equations, differential-algebraic equations, multistep method
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