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Numerische MathematikLena Scholz - Publikationen

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Publikationen

Journal Publications

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.

 

 

 

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