Burger, Michael; Gerdts, Matthias DAE aspects in vehicle dynamics and mobile robotics. (English) Zbl 1447.93227 Campbell, Stephen (ed.) et al., Applications of differential-algebraic equations: examples and benchmarks. Cham: Springer. Differ.-Algebr. Equ. Forum, 37-80 (2019). MSC: 93C85 93C15 34A09 PDFBibTeX XMLCite \textit{M. Burger} and \textit{M. Gerdts}, in: Applications of differential-algebraic equations: examples and benchmarks. Cham: Springer. 37--80 (2019; Zbl 1447.93227) Full Text: DOI
Estévez Schwarz, Diana; Lamour, René A new approach for computing consistent initial values and Taylor coefficients for DAEs using projector-based constrained optimization. (English) Zbl 1409.65049 Numer. Algorithms 78, No. 2, 355-377 (2018). Reviewer: Alan L. Andrew (Bundoora) MSC: 65L80 34A09 90C30 90C55 PDFBibTeX XMLCite \textit{D. Estévez Schwarz} and \textit{R. Lamour}, Numer. Algorithms 78, No. 2, 355--377 (2018; Zbl 1409.65049) Full Text: DOI
Burger, Michael; Gerdts, Matthias A survey on numerical methods for the simulation of initial value problems with sDAEs. (English) Zbl 1402.65085 Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations IV. Cham: Springer (ISBN 978-3-319-46617-0/pbk; 978-3-319-46618-7/ebook). Differential-Algebraic Equations Forum, 221-300 (2017). MSC: 65L80 65L06 65-02 PDFBibTeX XMLCite \textit{M. Burger} and \textit{M. Gerdts}, in: Surveys in differential-algebraic equations IV. Cham: Springer. 221--300 (2017; Zbl 1402.65085) Full Text: DOI
Pryce, John D.; Nedialkov, Nedialko S.; Tan, Guangning DAESA – a Matlab tool for structural analysis of differential-algebraic equations: theory. (English) Zbl 1371.65076 ACM Trans. Math. Softw. 41, No. 2, Article No. 9, 20 p. (2015). MSC: 65L80 65Y15 34A09 PDFBibTeX XMLCite \textit{J. D. Pryce} et al., ACM Trans. Math. Softw. 41, No. 2, Article No. 9, 20 p. (2015; Zbl 1371.65076) Full Text: DOI
Estévez Schwarz, Diana; Lamour, René Projector based integration of DAEs with the Taylor series method using automatic differentiation. (English) Zbl 1301.65087 J. Comput. Appl. Math. 262, 62-72 (2014). MSC: 65L80 65D25 PDFBibTeX XMLCite \textit{D. Estévez Schwarz} and \textit{R. Lamour}, J. Comput. Appl. Math. 262, 62--72 (2014; Zbl 1301.65087) Full Text: DOI
Lamour, René; Monett, Dagmar A new algorithm for index determination in DAEs using algorithmic differentiation. (English) Zbl 1226.65073 Numer. Algorithms 58, No. 2, 261-292 (2011). MSC: 65L80 34A09 65D25 68W30 PDFBibTeX XMLCite \textit{R. Lamour} and \textit{D. Monett}, Numer. Algorithms 58, No. 2, 261--292 (2011; Zbl 1226.65073) Full Text: DOI
Raha, Soumyendu; Petzold, Linda R. Constraint partitioning for structure in path-constrained dynamic optimization problems. (English) Zbl 0989.65083 Appl. Numer. Math. 39, No. 1, 105-126 (2001). Reviewer: Kevin Burrage (Brisbane) MSC: 65L80 78A55 34A09 70E60 PDFBibTeX XMLCite \textit{S. Raha} and \textit{L. R. Petzold}, Appl. Numer. Math. 39, No. 1, 105--126 (2001; Zbl 0989.65083) Full Text: DOI
Röbenack, Klaus; Reinschke, Kurt J. Graph-theoretically determined Jordan-block-size structure of regular matrix pencils. (English) Zbl 0883.15005 Linear Algebra Appl. 263, 333-348 (1997). Reviewer: G.Bonanno (Davis) MSC: 15A21 05C20 05C50 15A22 15A18 PDFBibTeX XMLCite \textit{K. Röbenack} and \textit{K. J. Reinschke}, Linear Algebra Appl. 263, 333--348 (1997; Zbl 0883.15005) Full Text: DOI
Murota, Kazuo Combinatorial relaxation algorithm for the maximum degree of subdeterminants: Computing Smith-McMillan form at infinity and structural indices in Kronecker form. (English) Zbl 0826.05044 Appl. Algebra Eng. Commun. Comput. 6, No. 4-5, 251-273 (1995). Reviewer: A.Recski (Budapest) MSC: 05C50 15A15 15A22 68W30 68Q25 PDFBibTeX XMLCite \textit{K. Murota}, Appl. Algebra Eng. Commun. Comput. 6, No. 4--5, 251--273 (1995; Zbl 0826.05044) Full Text: DOI
Campbell, Stephen L. Least squares completions for nonlinear differential algebraic equations. (English) Zbl 0804.65066 Numer. Math. 65, No. 1, 77-94 (1993). Reviewer: C.Bendtsen (Lyngby) MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{S. L. Campbell}, Numer. Math. 65, No. 1, 77--94 (1993; Zbl 0804.65066) Full Text: DOI EuDML
Blajer, Wojciech Index of differential-algebraic equations governing the dynamics of constrained mechanical systems. (English) Zbl 0757.93037 Appl. Math. Modelling 16, No. 2, 70-77 (1992). MSC: 93C15 PDFBibTeX XMLCite \textit{W. Blajer}, Appl. Math. Modelling 16, No. 2, 70--77 (1992; Zbl 0757.93037) Full Text: DOI
Söderlind, G. Remarks on the stability of high-index DAEs with respect to parametric perturbations. (English) Zbl 0771.65036 Computing 49, No. 3, 303-314 (1992). Reviewer: K.Moszyński (Warszawa) MSC: 65L05 65L07 34A99 34A30 34E13 PDFBibTeX XMLCite \textit{G. Söderlind}, Computing 49, No. 3, 303--314 (1992; Zbl 0771.65036) Full Text: DOI
Clark, Kenneth D. A structural form for higher-index semistate equations. I: Theory and applications to circuit and control theory. (English) Zbl 0643.93010 Linear Algebra Appl. 98, 169-210 (1988). Reviewer: S.Campbell MSC: 93B10 34A99 93C05 15A21 93C15 94C05 PDFBibTeX XMLCite \textit{K. D. Clark}, Linear Algebra Appl. 98, 169--210 (1988; Zbl 0643.93010) Full Text: DOI