Results 231 to 240 of about 10,664 (261)

Differential Algebraic Equations

2012
In Chaps. 2 and 3 we were concerned mainly with the numerical solution of ordinary differential equations of the form y′ = f(x, y). However, there are problems which are more general than this and require special methods for their solution. One such class of problems are differential algebraic equations (DAEs).
Karline Soetaert, Jeff Cash, Francesca Mazzia   +2 more
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Differential-Algebraic Equations

2016
In this chapter, we introduce the differential algebraic equations which we abbreviate as DAEs. DAEs arise in a variety of applications such as modelling constrained multibody systems, electrical networks, aerospace engineering, chemical processes, computational fluid dynamics, gas transport networks, see [10–12, 35].
N. Banagaaya, G. Alì, W. H. A. Schilders   +2 more
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Differential-Algebraic Equation Index Transformations

SIAM Journal on Scientific and Statistical Computing, 1988
The index of an implicit system of differential equations, also known as a differential algebraic equation or DAE, measures how far, in some sense, the system is from being an explicit ordinary differential equation. There is interest in many areas of applications in working directly with the implicit models that often arise.
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On the robust stability of Volterra differential–algebraic equations

Systems & Control Letters, 2021
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Regularizations of Differential‐Algebraic Equations Revisited

Mathematische Nachrichten, 1995
AbstractThe present paper deals with quasilinear differential‐algebraic equations with index 2. These equations are approximated by regularization methods. Such methods lead to singularly perturbed differential‐algebraic equations. Using a geometric theory of singular perturbations convergence of the solutions of the regularized problems towards that ...
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On the Superstability of an Interval Family of Differential-Algebraic Equations

Automation and Remote Control, 2021
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Differential-Algebraic Equations

1984
In this paper we study the numerical solution of the differential/algebraic systems F(t, y, y′) = 0. Many of these systems can be solved conveniently and economically using a range of ODE methods. Others can be solved only by a small subset of ODE methods, and still others present insurmountable difficulty for all current ODE methods.
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On the Optimum Control of Differential-Algebraic Equations

Journal of Optimization Theory and Applications, 2001
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Multistep methods for differential algebraic equations

Numerical Algorithms, 1995
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.
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Index-2 Differential-Algebraic Equations

Results in Mathematics, 1989
A class of general nontransferable differential-algebraic equations which contains all linear differential-algebraic equations having the global index 2 in the definition of Gear and Petzold or being tractable with index 2 in the sense of Griepentrog and März as well as nonlinear index-2 equations in the understanding of Brenan, Gear, Petzold and ...
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