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Titlebook: Surveys in Differential-Algebraic Equations IV; Achim Ilchmann,Timo Reis Book 2017 Springer International Publishing AG 2017 differential-

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DAE Aspects of Multibody System Dynamics,algebraic equations (DAEs) for more than three decades. The equations of motion are linearly implicit second order differential equations. For constrained systems, they form an index-3 DAE with a specific structure that is exploited in theoretical investigations as well as in the numerical solution.
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A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs, construction principles of frequently used discretization schemes, such as BDF methods, Runge–Kutta methods, and ROW methods, as well as their adaption to DAEs. Moreover, topics like consistent initialization, stabilization, parametric sensitivity analysis, co-simulation techniques, aspects of real
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A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs,on to DAEs. Moreover, topics like consistent initialization, stabilization, parametric sensitivity analysis, co-simulation techniques, aspects of real-time simulation, and contact problems are covered. Finally, some illustrative numerical examples are presented.
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DAE Aspects of Multibody System Dynamics,me integration of constrained mechanical systems in multibody system dynamics. Part of the material is devoted to topics of current research like multibody system models with nonlinear configuration spaces or systems with redundant constraints.
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2199-7497 in the sense that other books provide rather an introductioThe present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs) which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong r
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Model Order Reduction for Differential-Algebraic Equations: A Survey,ation and rational interpolation. We will review efforts in extending these approaches to descriptor systems, and also add the extension of the so-called . method to descriptor systems which so far cannot be found in the literature.
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