Differential-Algebraic Equations: Analysis and Numerical Solution

By P. Kunkel, Volker Mehrmann. 2006

1,106 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e4380e734da3981d299e99ef1ae921e7b7320a24

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In Numerical Analysis

Citations in the corpus

On an Implementation of the Hilber-Hughes-Taylor Method in the Context of Index 3 Differential-Algebraic Equations of Multibody Dynamics (DETC2005-85096) (2007, background): “Equations (7a)–(7d) comprise a system of index 3 DAE [7], where the no tion f DAE index, as far as its definition and meaning are concerned, continues to be a research topic an d the interested reader is referred to [37] and the recent work [26] for a more in depth analysis of the concep t.”
Hybrid systems of differential-algebraic equations – Analysis and numerical solution (2009, methodology): “Here, we base the abstract modeling concept on the general theory of DAEs as described in [17] and consider hybrid systems that are composed of several different constrained nonlinear dynamical systems described by DAEs and transition conditions between these DAEs following an approach given in [4,1”
Lyapunov, Bohl and Sacker-Sell Spectral Intervals for Differential-Algebraic Equations (2009, methodology): “…strangeness index, Lyapunov exponent, Bohl exponent, Sacker-Sell spectrum, exponential dichotomy, spectral interval, smooth QR factorization, continuous QR algorithm, discrete QR algorithm, kinematic equivalence, Steklov function AMS(MOS) subject classification: 65L07, 65L80, 34D08, 34D09”
The quasi-Weierstraß form for regular matrix pencils (2012, background): “2 The Drazin inverse It is well known [4, 6] that the solution of the inhomogeneous differential algebraic equation Eẋ = Ax+f can be expressed – provided E and A commute – in terms of the Drazin inverses E and A of E and A, resp.”
Computational Methods for Linear Matrix Equations (2016, background): “The case of singular D and/or E is called projected Sylvester equation, and it has an important role, for instance, in the solution of differentialalgebraic equations [166]; as already mentioned, we shall not discuss this setting in this work.”