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Differential Algebraic Equations

2017
This chapter documents how to formulate and solve optimization problems with differential and algebraic equations (DAEs). The pyomo.dae package allows users to easily incorporate detailed dynamic models within an optimization framework and is flexible enough to represent a wide variety of differential equations.
William E. Hart   +6 more
openaire   +2 more sources

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   +2 more
openaire   +2 more sources

System of fractional differential algebraic equations with applications

Chaos, Solitons & Fractals, 2019
One of the important classes of coupled systems of algebraic, differential and fractional differential equations (CSADFDEs) is fractional differential algebraic equations (FDAEs).
B. Shiri, Dumitru Băleanu
semanticscholar   +1 more source

Differential-Algebraic Equations

Oberwolfach Reports, 2007
The topic of Differential Algebraic Equations (DAEs) began to attract significant research interest in applied and numerical mathematics in the early 1980's. Today, a quarter of a century later, DAEs are an independent field of research, which is gaining in importance and becoming of increasing interest for both applications and mathematical theory.
Stephen L. Campbell   +3 more
openaire   +1 more source

Nonsmooth Hessenberg differential-algebraic equations

Journal of Mathematical Analysis and Applications, 2021
In this paper, the authors study parametric Hessenberg differential-algebraic equations (DAEs) of size \(\nu\) with nonsmooth right-hand side functions. The authors establish a comprehensive well-posedness theory that extends classical theory including existence, uniqueness, maximal continuation and Lipschitzian/lexicographic dependence on parameters ...
Peter Stechlinski, Paul I. Barton
openaire   +1 more source

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