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
Bobinyec, Karen S.; Campbell, Stephen L. Linear differential algebraic equations and observers. (English) Zbl 1328.93003 Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations II. Cham: Springer (ISBN 978-3-319-11049-3/pbk; 978-3-319-11050-9/ebook). Differential-Algebraic Equations Forum, 1-67 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 93-02 93B07 93B05 93C05 34H15 34A09 PDFBibTeX XMLCite \textit{K. S. Bobinyec} and \textit{S. L. Campbell}, in: Surveys in differential-algebraic equations II. Cham: Springer. 1--67 (2015; Zbl 1328.93003) Full Text: DOI
Scholz, Lena; Steinbrecher, Andreas DAEs in applications. (English) Zbl 1327.65155 Benner, Peter (ed.) et al., Numerical algebra, matrix theory, differential-algebraic equations and control theory. Festschrift in honor of Volker Mehrmann. Cham: Springer (ISBN 978-3-319-15259-2/hbk; 978-3-319-15260-8/ebook). 463-501 (2015). MSC: 65L80 PDFBibTeX XMLCite \textit{L. Scholz} and \textit{A. Steinbrecher}, in: Numerical algebra, matrix theory, differential-algebraic equations and control theory. Festschrift in honor of Volker Mehrmann. Cham: Springer. 463--501 (2015; Zbl 1327.65155) Full Text: DOI
Kunkel, Peter; Mehrmann, Volker; Scholz, Lena Self-adjoint differential-algebraic equations. (English) Zbl 1291.93060 Math. Control Signals Syst. 26, No. 1, 47-76 (2014). MSC: 93B11 93C15 PDFBibTeX XMLCite \textit{P. Kunkel} et al., Math. Control Signals Syst. 26, No. 1, 47--76 (2014; Zbl 1291.93060) Full Text: DOI Link
Campbell, Stephen L.; Kunkel, Peter; Bobinyec, Karen A minimal norm corrected underdetermined Gauß-Newton procedure. (English) Zbl 1245.65106 Appl. Numer. Math. 62, No. 5, 592-605 (2012). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 65L80 65H10 PDFBibTeX XMLCite \textit{S. L. Campbell} et al., Appl. Numer. Math. 62, No. 5, 592--605 (2012; Zbl 1245.65106) Full Text: DOI
Linh, Vu Hoang; Mehrmann, Volker; Van Vleck, Erik S. \(QR\) methods and error analysis for computing Lyapunov and Sacker–Sell spectral intervals for linear differential-algebraic equations. (English) Zbl 1242.65150 Adv. Comput. Math. 35, No. 2-4, 281-322 (2011). Reviewer: Raffaella Pavani (Milano) MSC: 65L80 65L07 34D08 34A09 65L70 34D09 PDFBibTeX XMLCite \textit{V. H. Linh} et al., Adv. Comput. Math. 35, No. 2--4, 281--322 (2011; Zbl 1242.65150) Full Text: DOI
Röbenack, Klaus; Reinschke, Kurt On generalized inverses of singular matrix pencils. (English) Zbl 1221.93096 Int. J. Appl. Math. Comput. Sci. 21, No. 1, 161-172 (2011). MSC: 93C05 93C15 15A22 PDFBibTeX XMLCite \textit{K. Röbenack} and \textit{K. Reinschke}, Int. J. Appl. Math. Comput. Sci. 21, No. 1, 161--172 (2011; Zbl 1221.93096) Full Text: DOI EuDML
Linh, Vu Hoang; Mehrmann, Volker Lyapunov, Bohl and Sacker-Sell spectral intervals for differential-algebraic equations. (English) Zbl 1165.65050 J. Dyn. Differ. Equations 21, No. 1, 153-194 (2009). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 65L80 65L07 34D08 34D09 34A09 PDFBibTeX XMLCite \textit{V. H. Linh} and \textit{V. Mehrmann}, J. Dyn. Differ. Equations 21, No. 1, 153--194 (2009; Zbl 1165.65050) Full Text: DOI
Wunderlich, Lena Analysis and numerical solution of structured and switched differential-algebraic systems. (English) Zbl 1213.65116 Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.). 281 p. (2008). MSC: 65L80 34A09 PDFBibTeX XMLCite \textit{L. Wunderlich}, Analysis and numerical solution of structured and switched differential-algebraic systems. Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.) (2008; Zbl 1213.65116) Full Text: Link
Kunkel, Peter; Mehrmann, Volker Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index. (English) Zbl 1156.49018 Math. Control Signals Syst. 20, No. 3, 227-269 (2008). Reviewer: Corneliu Ursescu (Iaşi) MSC: 49K15 49M25 PDFBibTeX XMLCite \textit{P. Kunkel} and \textit{V. Mehrmann}, Math. Control Signals Syst. 20, No. 3, 227--269 (2008; Zbl 1156.49018) Full Text: DOI
Okay, Irfan; Campbell, Stephen L.; Kunkel, Peter The additional dynamics of least squares completions for linear differential algebraic equations. (English) Zbl 1132.34006 Linear Algebra Appl. 425, No. 2-3, 471-485 (2007). Reviewer: Johannes Schropp (Konstanz) MSC: 34A09 34A30 65L80 PDFBibTeX XMLCite \textit{I. Okay} et al., Linear Algebra Appl. 425, No. 2--3, 471--485 (2007; Zbl 1132.34006) Full Text: DOI Link
Steinbrecher, Andreas Numerical solution of quasi-linear differential-algebraic equations and industrial simulation of multibody systems. (English) Zbl 1213.65115 Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften; (Diss.). 319 p. (2006). MSC: 65L80 34A05 70F10 65L06 PDFBibTeX XMLCite \textit{A. Steinbrecher}, Numerical solution of quasi-linear differential-algebraic equations and industrial simulation of multibody systems. Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.) (2006; Zbl 1213.65115) Full Text: Link
Mehrmann, Volker; Shi, Chunchao Transformation of high order linear differential-algebraic systems to first order. (English) Zbl 1109.65071 Numer. Algorithms 42, No. 3-4, 281-307 (2006). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 65L80 65L05 34A30 34A09 PDFBibTeX XMLCite \textit{V. Mehrmann} and \textit{C. Shi}, Numer. Algorithms 42, No. 3--4, 281--307 (2006; Zbl 1109.65071) Full Text: DOI
Kunkel, Peter; Mehrmann, Volker Differential-algebraic equations. Analysis and numerical solution. (English) Zbl 1095.34004 Zürich: European Mathematical Society Publishing House (ISBN 3-03719-017-5/hbk). viii, 377 p. (2006). Reviewer: Georgii P. Razmyslovich (Minsk) MSC: 34A09 34A12 34B15 65L80 65L06 65-01 34-01 PDFBibTeX XMLCite \textit{P. Kunkel} and \textit{V. Mehrmann}, Differential-algebraic equations. Analysis and numerical solution. Zürich: European Mathematical Society Publishing House (2006; Zbl 1095.34004)
Kunkel, Peter; Mehrmann, Volker Characterization of classes of singular linear differential-algebraic equations. (English) Zbl 1102.34003 Electron. J. Linear Algebra 13, 359-386 (2005). Reviewer: Werner M. Seiler (Kassel) MSC: 34A09 34A30 PDFBibTeX XMLCite \textit{P. Kunkel} and \textit{V. Mehrmann}, Electron. J. Linear Algebra 13, 359--386 (2005; Zbl 1102.34003) Full Text: DOI EuDML EMIS
Kunkel, Peter; Mehrmann, Volker; Stöver, Ronald Multiple shooting for unstructured nonlinear differential-algebraic equations of arbitrary index. (English) Zbl 1086.65086 SIAM J. Numer. Anal. 42, No. 6, 2277-2297 (2005). Reviewer: Pat Lumb (Chester) MSC: 65L80 65L10 34A09 65L20 PDFBibTeX XMLCite \textit{P. Kunkel} et al., SIAM J. Numer. Anal. 42, No. 6, 2277--2297 (2005; Zbl 1086.65086) Full Text: DOI
Shi, Chunchao Linear differential-algebraic equations of higher-order and the regularity or singularity of matrix polynomials. (English) Zbl 1213.65114 Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.). 149 p. (2004). MSC: 65L80 34A09 65F30 65L05 PDFBibTeX XMLCite \textit{C. Shi}, Linear differential-algebraic equations of higher-order and the regularity or singularity of matrix polynomials. Berlin: TU Berlin, Fakultät II, Mathematik und Naturwissenschaften (Diss.) (2004; Zbl 1213.65114) Full Text: Link
Arévalo, C.; Campbell, S. L.; Selva, M. Unitary partitioning in general constraint preserving DAE integrators. (English) Zbl 1074.65099 Math. Comput. Modelling 40, No. 11-12, 1273-1284 (2004). MSC: 65L80 34A09 65L20 PDFBibTeX XMLCite \textit{C. Arévalo} et al., Math. Comput. Modelling 40, No. 11--12, 1273--1284 (2004; Zbl 1074.65099) Full Text: DOI
Kunkel, P.; Mehrmann, V. Index reduction for differential-algebraic equations by minimal extension. (English) Zbl 1070.34006 ZAMM, Z. Angew. Math. Mech. 84, No. 9, 579-597 (2004). Reviewer: Werner M. Seiler (Heidelberg) MSC: 34A09 65L80 70E55 94C05 PDFBibTeX XMLCite \textit{P. Kunkel} and \textit{V. Mehrmann}, ZAMM, Z. Angew. Math. Mech. 84, No. 9, 579--597 (2004; Zbl 1070.34006) Full Text: DOI
Kunkel, Peter; Stöver, Ronald Symmetric collocation methods for linear differential-algebraic boundary value problems. (English) Zbl 1003.65093 Numer. Math. 91, No. 3, 475-501 (2002). Reviewer: Kevin Burrage (Brisbane) MSC: 65L80 65L20 65L60 65L10 34A09 PDFBibTeX XMLCite \textit{P. Kunkel} and \textit{R. Stöver}, Numer. Math. 91, No. 3, 475--501 (2002; Zbl 1003.65093) Full Text: DOI
Brachtendorf, H. G.; Laur, R. On consistent initial conditions for circuit’s DAEs with higher index. (English) Zbl 0997.65104 IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 48, No. 5, 606-623 (2001). MSC: 65L80 65L06 94C05 34A09 65L05 PDFBibTeX XMLCite \textit{H. G. Brachtendorf} and \textit{R. Laur}, IEEE Trans. Circuits Syst., I, Fundam. Theory Appl. 48, No. 5, 606--623 (2001; Zbl 0997.65104) Full Text: DOI
Stöver, Ronald Collocation methods for solving linear differential-algebraic boundary value problems. (English) Zbl 1001.65092 Numer. Math. 88, No. 4, 771-795 (2001). Reviewer: René Lamour (Berlin) MSC: 65L80 65L60 34A09 65L10 65L20 PDFBibTeX XMLCite \textit{R. Stöver}, Numer. Math. 88, No. 4, 771--795 (2001; Zbl 1001.65092) Full Text: DOI
Kunkel, Peter; Mehrmann, Volker; Rath, Werner Analysis and numerical solution of control problems in descriptor form. (English) Zbl 1066.93019 Math. Control Signals Syst. 14, No. 1, 29-61 (2001). Reviewer: Gunther Reißig (Magdeburg) MSC: 93C05 93C35 93C15 34A09 65L80 93B52 PDFBibTeX XMLCite \textit{P. Kunkel} et al., Math. Control Signals Syst. 14, No. 1, 29--61 (2001; Zbl 1066.93019) Full Text: DOI
Marszalek, W.; Campbell, S. L. DAEs arising from traveling wave solutions of PDEs. II. (English) Zbl 0952.34003 Comput. Math. Appl. 37, No. 1, 15-34 (1999). MSC: 34A09 76W05 34C23 34C60 PDFBibTeX XMLCite \textit{W. Marszalek} and \textit{S. L. Campbell}, Comput. Math. Appl. 37, No. 1, 15--34 (1999; Zbl 0952.34003) Full Text: DOI
Campbell, Stephen L.; Yeomans, Kevin D. Behavior of the nonunique terms in general DAE integrators. (English) Zbl 0931.65089 Appl. Numer. Math. 28, No. 2-4, 209-226 (1998). Reviewer: M.Plum (Karlsruhe) MSC: 65L80 65L05 65H10 65L20 34A09 PDFBibTeX XMLCite \textit{S. L. Campbell} and \textit{K. D. Yeomans}, Appl. Numer. Math. 28, No. 2--4, 209--226 (1998; Zbl 0931.65089) Full Text: DOI
Kunkel, Peter; Mehrmann, Volker Regular solutions of nonlinear differential-algebraic equations and their numerical determination. (English) Zbl 0914.65075 Numer. Math. 79, No. 4, 581-600 (1998). Reviewer: T.E.Simos (Xanthi) MSC: 65L05 34A09 34A34 PDFBibTeX XMLCite \textit{P. Kunkel} and \textit{V. Mehrmann}, Numer. Math. 79, No. 4, 581--600 (1998; Zbl 0914.65075) Full Text: DOI
Kunkel, Peter; Mehrmann, Volker; Rath, Werner; Weickert, Jörg A new software package for linear differential-algebraic equations. (English) Zbl 0868.65041 SIAM J. Sci. Comput. 18, No. 1, 115-138 (1997). Reviewer: P.Y.Yalamov (Russe) MSC: 65L05 34A09 34A34 34-04 65Y15 PDFBibTeX XMLCite \textit{P. Kunkel} et al., SIAM J. Sci. Comput. 18, No. 1, 115--138 (1997; Zbl 0868.65041) Full Text: DOI
Kunkel, Peter; Mehrmann, Volker The linear quadratic optimal control problem for linear descriptor systems with variable coefficients. (English) Zbl 0894.49020 Math. Control Signals Syst. 10, No. 3, 247-264 (1997). Reviewer: R.Gessing (Gliwice) MSC: 49N10 93C99 93C35 PDFBibTeX XMLCite \textit{P. Kunkel} and \textit{V. Mehrmann}, Math. Control Signals Syst. 10, No. 3, 247--264 (1997; Zbl 0894.49020) Full Text: DOI
Kunkel, Peter; Mehrmann, Volker Local and global invariants of linear differential-algebraic equations and their relation. (English) Zbl 0892.34001 ETNA, Electron. Trans. Numer. Anal. 4, 138-157 (1996). Reviewer: S.Staněk (Olomouc) MSC: 34A09 34A30 PDFBibTeX XMLCite \textit{P. Kunkel} and \textit{V. Mehrmann}, ETNA, Electron. Trans. Numer. Anal. 4, 138--157 (1996; Zbl 0892.34001) Full Text: EuDML EMIS