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Mathematical and Computer Modelling of Dynamical Systems
Methods, Tools and Applications in Engineering and Related Sciences
Volume 13, 2007 - Issue 3
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Original Articles

Linear differential-algebraic equations with properly stated leading term: A-critical points

Roswitha März Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden, 6, 10099, Berlin, Germany
&
Ricardo Riaza Departamento de Matemática Aplicada TT. I., ETSI Telecomunicación, Universidad Politécnica de Madrid, Ciudad Universitaria s/n, 28040, Madrid, SpainCorrespondence[email protected]
Pages 291-314 | Published online: 15 May 2007

Citations (10)

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Read on this site (2)

Thomas Berger & Achim Ilchmann. (2013) On stability of time-varying linear differential-algebraic equations. International Journal of Control 86:6, pages 1060-1076.
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Roswitha März & Ricardo Riaza. (2008) Linear differential-algebraic equations with properly stated leading term: -critical points. Dynamical Systems 23:4, pages 505-522.
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Articles from other publishers (8)

Diana Estévez Schwarz & René Lamour. (2021) InitDAE: Computation of consistent values, index determination and diagnosis of singularities of DAEs using automatic differentiation in Python. Journal of Computational and Applied Mathematics 387, pages 112486.
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Diana Estévez Schwarz, René Lamour & Roswitha März. 2020. Progress in Differential-Algebraic Equations II. Progress in Differential-Algebraic Equations II 433 480 .
Peter Benner, Maike Braukmüller & Sara Grundel. 2018. Reduced-Order Modeling (ROM) for Simulation and Optimization. Reduced-Order Modeling (ROM) for Simulation and Optimization 99 119 .
René Lamour, Roswitha März & Ewa Weinmüller. 2015. Surveys in Differential-Algebraic Equations III. Surveys in Differential-Algebraic Equations III 177 309 .
Diana Estévez Schwarz & René Lamour. 2014. Progress in Differential-Algebraic Equations. Progress in Differential-Algebraic Equations 73 95 .
Liu Hong & Song Yongzhong. (2011) On a regularization of index 2 differential-algebraic equations with properly stated leading term. Acta Mathematica Scientia 31:2, pages 383-398.
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Winfried Auzinger, Herbert Lehner & Ewa Weinmüller. (2011) An efficient asymptotically correct error estimator for collocation solutions to singular index-1 DAEs. BIT Numerical Mathematics 51:1, pages 43-65.
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Ricardo Riaza & Roswitha März. (2008) A simpler construction of the matrix chain defining the tractability index of linear DAEs. Applied Mathematics Letters 21:4, pages 326-331.
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