Bibliography


Lam73
René Lamour.
Methoden zur Lösung von Randwertproblemen bei nichtlinearen gewöhnlichen Differentialgleichungen, 1973.
Diplomarbeit, Martin-Luther-Universität Halle-Wittenberg.

Lam75
René Lamour.
Splineapproximation nichtlinearer, nichtautonomer Schwingungen.
Forschungsbericht der Humboldt-Universität zu Berlin, Sektion Mathematik, 1975.

Lam77a
René Lamour.
Splineapproximation für ein nichtlineares, nichtautonomes Schwingungsproblem.
In Abhandlungen der AdW, volume 1, Berlin, 1977.

Lam77b
René Lamour.
Splineapproximation nichtlinearer Schwingungen.
PhD thesis, Humboldt-Universität zu Berlin, 1977.

LM80
René Lamour and Roswitha März.
Remarks on the numerical treatment of TPBVP and the programsystem `RWA'.
Seminarbericht der Sektion Mathematik, Berlin, 1980.
Proceedings of the 2nd Conference on Numerical Treatment of Ordinary Differential Equations.

HNL81
Dorothea Holland, Josef Nietzsch and René Lamour.
Numerische Behandlung von Eigenschwingungsproblemen.
Beiträge zur Numerischen Mathematik, 9:113-129, 1981.

LMS81
René Lamour, Renate Molgedey and Natascha Smoljanskaja.
Programmsystem `RWA' (Anwenderbeschreibung).
Preprint der Sektion Mathematik (Neue Folge), Berlin, 1981.

LS81
René Lamour and Peter Sternberg.
Rechenprogramm zur quantitativen Analyse des R-Z-Systems.
Stadt- und Gebäudetechnik, 35(1), 1981.

Lam81a
René Lamour.
Anwendung des PS `RWA' zur Lösung von Zweipunkt-Randwert- Aufgaben bei gewöhnlichen Differentialgleichungssystemen erster Ordnung.
ZfR-Informationen, Berlin, 1981.
4.Fachtagung Numerische Realisierung mathematischer Modelle.

Lam81b
René Lamour.
Mehrfachschießen mit problemangepaßten Richtungen.
Wiss. Beiträge der MLU Halle-Wittenberg, 1981.
Proceedings der Tagung: Numerische Behandlung von Differentialgleichungen.

LMSK82
René Lamour, Roswitha März, Natascha Smoljanskaja and Alfred Kastelewicz.
The program system `RWA' for the numerical calculation of TPBVP for ODE.
Wiss.Z.Hochsch.Archit.Bauwesen, 28(3/4), 1982.
Proceedings IX.IKM.

Lam82a
René Lamour.
Programmierprinzipien in FORTRAN und ihre Anwendung beim Programmsystem `RWA'.
WBZ für math. Kybernetik und Rechentechnik/IV der TU Dresden, 1982.
Proceedings zur Tagung `Mathematische Verfahrenstechnik'.

Lam82b
René Lamour.
Über eine Mehrzielmethode mit problemabhängigen Richtungen.
Seminarbericht 46 der Sektion Mathematik, Berlin, 1982.
Proceedings of the 3nd Conference on Numerical Treatment of ordinary Differential Equations.

LH83
René Lamour and Michael Hanke.
Software for ordinary boundary value problems.
Seminarbericht 55 der Sektion Mathematik, Berlin, 1983.

Lam84a
René Lamour.
Bestimmung optimaler Integrationsrichtungen beim Mehrfachschießen zur Lösung von Zwei-Punkt-Randwertproblemen.
Wiss. Beiträge der MLU Halle-Wittenberg, 1984.
Proceedings der Tagung `Numerische Behandlung von Differentialgleichungen'.

Lam84b
René Lamour.
Determination of optimal integration directions and subdivision of the interval in multiple shootings methods.
In Numerische Behandlung von Differentialgleichungen II, 1984.
Wiss. Beiträge der FSU Jena.

Lam84c
René Lamour.
Shooting method with problem adapted integration directions.
Seminarbericht der Sektion Mathematik, Berlin, 1984.
Proceedings of the 4nd Conference on Numerical Treatment of Ordinary Differential Equations.

LHW85
René Lamour, Michael Hanke, and Renate Winkler.
The program system `RWA' (version 2) for the solution of TPBVP - fundamentals and algorithms.
Seminarbericht 67 der Sektion Mathematik, Berlin, 1985.

LM87
René Lamour and Roswitha März.
On differential equations with constraints.
In Proceedings of XI.IKM, volume 4, Weimar, 1987.

Lam89
René Lamour.
Computation of autonomous oszillations in transferable DAE's by shooting methods.
Halle, 1989.
Proceedings der 5.Tagung `Numerische Behandlung von Differential gleichungen'.

Lam90a
René Lamour.
A shooting method for two-point-boundary value problems for transferable differential algebraic systems.
In Proceedings of XII. IKM, volume 4, Weimar, 1990.

Lam90b
René Lamour.
Shooting methods for transferable dae's - solution of shooting equation.
Banach Center Publications: Numerical Analysis and Mathematical Modelling, 24:233-240, 1990.

Lam91a
René Lamour.
A well-posed shooting method for transferable dae's.
Numerische Mathematik, 59, 1991.

Lam91b
René Lamour.
Oscillations in differential-algebraic equations.
Preprint no.272, Fachbereich Mathematik der Humboldt-Universität zu Berlin, 1991.

Lam92
René Lamour.
Oscillations in differential-algebraic equations.
in Seminarbericht Nr.92-1, Fachbereich Mathematik der Humboldt-Universität zu Berlin, 1992.

LMM93
René Lamour, Robert Mattheij, Roswitha März.
On the Stability Behaviour of Systems obtained by Index Reduction.
Journam of Comp. and Applied Math. 56 (1994) 305-319

Lam94
René Lamour.
A Shooting method for Fully Implicit Index-2 DAE's.
Preprint no. 94-13, Institut für Mathematik der HUB zu Berlin, 1994.

EL95
Roland England, René Lamour.
Dichotomic Stability and Multiple Shooting for Numerical Boundary-Value Problems in Index-One Differential-Algebraic Equations
Z. Angew. Math. Mech. 76, Suppl. 1, 87-90 (1996).

Lam96
René Lamour.
A Shooting method for Fully Implicit Index-2 DAEs.
SIAM J. SCI. COMPUT.,18 No.1, pp. 94-114 (1997)

LMW96
René Lamour, Roswitha März, Renate Winkler.
How Floquet-theory applies to differential-algebraic equations.
Preprint no. 96-15 Humboldt-University of Berlin, Institut of Mathematics

Lam98
René Lamour.
Floquet-Theory for Differential-Algebraic Equations (DAE)
Z. angew. Math. Mech. 78 (1998) Suppl.3

LMW98a
René Lamour, Roswitha März, Renate Winkler.
How Floquet-theory Applies to Index 1 Differential-Algebraic Equations.
Journal of Mathematical Analysis and Applications 217, pp. 372-394 (1998)

LMW98b
René Lamour, Roswitha März, Renate Winkler.
Stability of periodic solutions of index-2 differential-algebraic systems.
Preprint no. 98-23 Humboldt-University of Berlin, Institut of Mathematics

EsLa99
Diana Estévez Schwarz, René Lamour.
The Computation of Consistent Initial Values for Nonlinear Index-2 Differential-Algebraic Equations.
Preprint no. 99-13 Humboldt-University of Berlin, Institut of Mathematics

EsLa01
Diana Estévez Schwarz, René Lamour.
The Computation of Consistent Initial Values for Nonlinear Index-2 Differential-Algebraic Equations.
Numerical Algorithms, 2001, Vol. 26, Nr. 1, pp 49-75

HaLa01
Michael Hanke, René Lamour.
Consistent Initialization for Nonlinear Index-2 DAE: Large Sparse Systems in MATLAB.
Report No. 2001:05, Royal Institute of Technology and Uppsala University, submitted to Numerical Algorithms

EnLaLo01
Roland England, René Lamour, Jesuz Lopez-Estrada.
Multiple Shooting using a Dichotomically Stable Integrator for Solving DAEs.
Preprint Universidad Nacional Autonoma de Mexico, Departimento de Matematicas No. 15-01 accepted for publication in APNUM 2002

LaMaTi01
René Lamour, Roswitha März, Caren Tischendorf.
PDAEs and further Mixed Systems as Abstract Differential Algebraic Systems
Preprint Nr. 01-11 Humboldt-University of Berlin, Institut of Mathematics, submitted to

La01
René Lamour.
Index Determination for DAEs.
Preprint Nr. 01-19 Humboldt-University of Berlin, Institut of Mathematics

EnLaLo02
Roland England, René Lamour, Jesuz Lopez-Estrada.
Multiple Shooting using a Dichotomically Stable Integrator for Solving DAEs.
APNUM 42 (2002) 117-131

LMW03
René Lamour, Roswitha März, Renate Winkler.
Stability of periodic solutions of index-2 differential-algebraic systems.
J.Math.Anal.Appl. 279(2003)475-494

HaLa03
Michael Hanke, René Lamour.
Consistent Initialization for Nonlinear Index-2 DAE: Large Sparse Systems in MATLAB.
Numerical Algorithms 32:67-85, 2003

La03b
René Lamour.
Index Determination and Calculation of Consistent Initial Values for DAEs.
Comp. Math. Appl. 50, No. 7, 1125-1140 (2005)

La06
René Lamour.
Different Index Concepts, their Canonical Forms and Solvability of Linear DAEs
Oberwolfach Reports Vol. 3, Nr. 2, 2006

La07
René Lamour.
A projector based representation of the Strangeness Index Concept
Preprint 07-03, Institut für Mathematik, Humboldt-Universität zu Berlin, 2007

EGL07
Roland England, Susana Goméz, René Lamour.
The study of the index of differential-algebraic equations for optimal control problems
Universidad National Autonoma de Mexico, Preprint 12, No. 62, oct. 2007

LM09
René Lamour, Francesca Mazzia.
Computation of Consistent Initial Values for Properly Stated Index 3 DAEs.
BIT Numer Math (2009) 49: 161-175

EGL09
Roland England, Susana Goméz, René Lamour.
The properties of differential-algebraic equations representing optimal control problems
APNUM 59,(2009) 2357-2373

LM10
René Lamour, Dagmar Monett Diaz.
A new algorithm for the index determination in DAEs by Taylor series using Algorithmic Differentiation
Humboldt-University, Department of Mathematics, Preprint Nr.10-04, 2010

LM10a
René Lamour, Dagmar Monett Diaz.
A new algorithm for the index determination in DAEs by Taylor series using Algorithmic Differentiation
Numerical Algorithms 58, no. 2, pp. 261-292, 2011

WLL12
Walter, Sebastian F., Lehmann, Lutz, Lamour, René.
On evaluating higher-order derivatives of the QR decomposition of tall matrices with full column rank in forward and reverse mode algorithmic differentiation.
Optim. Methods Softw. 27, No. 2, 391-403 (2012).

LM12
Lamour, René; März, Roswitha
Detecting structures in differential algebraic equations: computational aspects.
J. Comput. Appl. Math. 236, No. 16, 4055-4066 (2012).

LMC13
Lamour, René; März, Roswitha; Tischendorf, Caren
Differential-algebraic equations. A projector based analysis.
Differential-Algebraic Equations Forum. Berlin: Springer (ISBN 978-3-642-27554-8/pbk; 978-3-642-27555-5/ebook). xxvii, 649 p. (2013).

LM13
Lamour, René; März, Roswitha
Differential-algebraic equations with regular local matrix pencils.
Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 6, No. 4, 39-47 (2013).

EL14
Estévez Schwarz, Diana; Lamour, René
Projector based integration of DAEs with the Taylor series method using automatic differentiation.
J. Comput. Appl. Math. 262, 62-72 (2014).

EL14a
Estévez Schwarz, Diana; Lamour, René
Monitoring singularities while integrating DAEs. (English) Zbl 1319.65076
Schöps, Sebastian (ed.) et al., Progress in differential-algebraic equations. Deskriptor 2013. Proceedings of the 8th workshop on coupled descriptor systems, Geseke, Germany, March 4-7, 2013. Berlin: Springer. Differential-Algebraic Equations Forum, 73-95 (2014).

EL15
Estévez Schwarz, Diana; Lamour, René
Diagnosis of singular points of structured DAEs using automatic differentiation.
Numer. Algorithms 69, No. 4, 667-691 (2015).

EL15a
Estévez Schwarz, Diana; Lamour, René
Diagnosis of singular points of properly stated DAEs using automatic differentiation.
Numer. Algorithms 70, No. 4, 777-805 (2015).

LMW15
Lamour, René; März, Roswitha; Weinmüller, Ewa
Boundary-value problems for differential-algebraic equations: A survey.
Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations III. Cham: Springer. Differential-Algebraic Equations Forum, 177-309 (2015).

EL16
Estévez Schwarz, Diana; Lamour, René
Consistent initialization for higher-index DAEs using a projector based minimum-norm specification.
Humboldt-University, Department of Mathematics, Preprint Nr. 16-01, 2016

EL16a
Estévez Schwarz, Diana; Lamour, René
A new projector based decoupling of linear DAEs for monitoring singularities.
Numer. Algorithms 73, No. 2, 535-565 (2016).

EL17
Estévez Schwarz, Diana; Lamour, René
A new approach for computing consistent initial values and Taylor coefficients for DAEs using projector based constrained optimization.
Humboldt-University, Department of Mathematics, Preprint Nr. 17-03, 2017

EL17a
Estévez Schwarz, Diana; Lamour, René
A new approach for computing consistent initial values and Taylor coefficients for DAEs using projector-based constrained optimization.
Numer. Algorithms (2017). DOI 10.1007/s11075-017-0379-9


Rene' Lamour 2017-07-28