direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Page Content

There is no English translation for this web page.

Publikationen

Journal Publications

N. Ali Eshtewy and L. Scholz: Model Reduction for Kinetic Models of Biological Systems. Symmetry, vol. 12(5), pp. 863, 2020.

L. Scholz: Condensed forms for linear port-Hamiltonian descriptor systems. Electronic Journal of Linear Algebra, vol. 35, pp. 65-89, 2019.

L. Scholz: The Signature Method for DAEs arising in the modeling of
electrical circuits
. Journal of Computational and Applied
Mathematics, vol. 332, pp. 107-139, 2018.

L. Scholz and A. Steinbrecher: Regularization of DAEs based on the Signature method. BIT Numerical Mathematics, vol. 56, pp. 319-340, 2016.

L. Scholz and A. Steinbrecher: Structural-algebraic regularization for coupled systems of DAEs. BIT Numerical Mathematics, vol. 56(2), pp. 777-804, 2016.

V. Mehrmann and L. Scholz: Self-conjugate differential and difference operators arising in the optimal control of descriptor systems. Operators and Matrices, vol. 8 (3), pp. 659-682, 2014.

P. Kunkel and V. Mehrmann and L. Scholz: Self-adjoint differential-algebraic equations. Mathematics of Control, Signals, and Systems, vol. 26 (1), pp. 47-76, 2014.

L. Scholz: A Derivative Array Approach for Linear Second Order Differential-Algebraic Systems. Electronic Journal of Linear Algebra, vol. 22, pp. 310-347, 2011.

V. Mehrmann and L. Wunderlich: Hybrid systems of differential-algebraic equations -- Analysis and numerical solution. J. of Process Control, vol. 19,  pp. 1218-1228, 2009.

G.L.Lagomasino, L.Reichel and L.Wunderlich: Matrices, Moments, and Rational Quadrature. Linear Algebra Appl., vol. 429 (10), pp. 2540-2554, 2008.

 

 

Book Chapter

L. Scholz and A. Steinbrecher: DAEs in Applications. In: P. Benner,  M. Bollhöfer,  D. Kressner,  C. Mehl and T. Stykel: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory: Festschrift in Honor of Volker Mehrmann. Springer International Publishing,  pp. 463-501, 2015.

 

 

Proceedings & Preprints

L. Scholz: Condensed Forms for linear Port-Hamiltonian Descriptor Systems. Preprint 09-2017, Institut für Mathematik, TU Berlin, 2017.

L. Scholz: The Signature Method for DAEs arising in the Modeling of Electrical Circuits. Preprint 01-2017, Institut für Mathematik, TU Berlin, 2017.

L. Scholz and A. Steinbrecher: Regularization of nonlinear DAEs based on Algebraic Analysis. In: Proceedings of MATHMOD 2015 - 8th Vienna International Conference on Mathematical Modelling, vol. 48(1), pp. 292-297, 2015.

L. Scholz and A. Steinbrecher: Numerical Treatment of Dynamical Systems using Overdetermined Regularizations. In: Tagungsband ASIM 2014. 22. Symposium Simulationstechnik, ARGESIM Report 43, ASIM-Mitteilung AM 151, pp. 9-16, 2014.

L. Scholz and A. Steinbrecher: Structural-Algebraic Remodeling of Coupled Dynamical Systems. In: Proceedings of the International Symposium on Mathematical Theory of Networks and Syststems (MTNS 2014), Groningen, pp. 1728-1735, 2014.

L. Scholz and A. Steinbrecher: Efficient Numerical Integration of Dynamical Systems based on Structural-Algebraic Regularization avoiding State Selection. In: Proceedings of the 10th International Modelica Conference,  Linköping Electronic Conference Proceedings, 96, pp. 1171-1178, 2014.

L. Scholz and A. Steinbrecher: A Combined Structural-Algebraic Approach for the Regularization of Coupled Systems of DAEs. Preprint 30-2013, Institut für Mathematik, TU Berlin, 2013.

V. Mehrmann and L. Scholz: Self-conjugate differential and difference operators arising in the  optimal control of descriptor systems. Preprint 26-2012, Institut für Mathematik, TU Berlin, 2012.

L. Scholz: Network-based Modeling and Index Analysis of Coupled Electro-Mechanical Systems. In: Proceedings of MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Mathematical Modelling, vol. 7 (1), pp. 246-251, 2012.

P. Kunkel, V. Mehrmann and L. Scholz: Self-adjoint differential-algebraic equations. Preprint 13-2011, Institut für Mathematik, TU Berlin, 2011.

P. Pepper, A. Mehlhase, Ch. Höger and L. Scholz: A compositional semantics for Modelica-style variable-structure modeling. In: 4th International Workshop on Equation-Based Object-oriented Modeling Languages and Tools (EOOLT 2011),
Linköping Electronic Conference Proceedings, vol. 56, pp. 45-54, 2011.


L. Scholz: Modeling of hybrid systems via differential-algebraic equations. In:Entwurf komplexer Automatisierungssysteme (EKA 2010), ifak - Institut für Automation und Kommunikation e.V. Magdeburg, pp. 203-211, 2010.

L. Wunderlich: GESDA: A Software Package for the Numerical Solution of General Switched Differential- Algebraic Equations. Preprint 576-2009, DFG Research Center Matheon in Berlin, 2009.

L. Wunderlich: A Derivative Array Approach for Linear Second Order Differential-Algebraic Systems. Preprint 529, DFG Research Center Matheon in Berlin, Institut für Mathematik, TU Berlin, 2008.

L. Wunderlich: Modeling and Numerical Simulation of General Nonlinear Switched Differential-Algebraic Systems. In: Proc. Appl. Math. and Mech. (GAMM 2008), vol. 8 (1), pp. 10927-10928, 2008.

L. Wunderlich: Structure preserving condensed forms for pairs of Hermitian matrices and matrix valued functions. Preprint 4-2006,  Institut für Mathematik, TU Berlin, 2006.

L. Wunderlich: Numerical Treatment of Second Order Differential-Algebraic Systems. In: Proc. Appl. Math. and Mech. (GAMM 2006), vol. 6(1), pp. 775-776, 2006.

L. Wunderlich: Numerical Solution of Semi-explicit Systems of Second Order Differential-Algebraic Equations. Preprint 24-2005, Institut für Mathematik, TU Berlin, 2005.

 

 

Theses

L. Wunderlich: Analysis and Numerical Solution of Structured and Switched Differential-Algebraic Systems. PhD thesis, Institut für Mathematik, Technische Universität Berlin, 2008.

L. Wunderlich: Numerical Solution of Second Order Differential-Algebraic Equations, Diploma thesis, Institut für Mathematik, Technische Universität Berlin, 2004.

 

 

 

Zusatzinformationen / Extras

Quick Access:

Schnellnavigation zur Seite über Nummerneingabe

Auxiliary Functions

This site uses Matomo for anonymized webanalysis. Visit Data Privacy for more information and opt-out options.