Mathematik 1 für Physiker

Lösungen

Vergangene Semester:

Analysis 4 (SS18)   Differentialgleichungen (SS18)

Adaptive Regelung (WS17/18)    Optimalsteuerung (WS17/18)

Analysis 2 (SS17)     Differentialgleichungen (SS17)

PDGL (WS15/16)        FunkAna (WS15/16)     Modell-Prädiktive Regelung (SS15)

Numerik für Ingenieure (SS15)       Mathe 1         Mathe3            Analysis 3

Publikationen:

7. Schur reduction of trees and extremal entries of the Fiedler vector

     (with J.P. Pade), submitted. pdf-file

6. Locally finite extensions and Gesztesy-Šeba realizations for the Dirac

operator on a metric graph (with C. Trunk), submitted. pdf-file

5. The gap distance to the set of singular matrix pencils

(with T. Berger, C. Trunk, H. Winkler, M. Wojtylak), submitted. pdf-file

4. A new method for network redesign via rank one updates, 

(with D. Krauße, R. Sommer, C. Trunk), Proc. Appl. Math. Mech. 17 (2017). pdf-file

3. A new bound for the distance to singularity of a regular matrix pencil,

(with T. Berger, C. Trunk, H. Winkler, M. Wojtylak), Proc. Appl. Math. Mech. 17 (2017). pdf-file

2. Eigenvalue placement for regular matrix pencils with rank one perturbations

(with C. Trunk), SIAM J. Matrix Anal. & Appl. 38 (2017), pp. 134-154.  pdf-file

1. On the parametric eigenvalue behavior of matrix pencils under rank one perturbations

(with C. Trunk), Proc. Appl. Math. Mech. 16 (2016), pp. 873-874;

Extended Version: pdf-file

Abschlussarbeiten:

Untersuchung von Quantengraphen mittels direkter Summen von Randtripeln           

09/2018: On network redesign, Siegmundsburg Workshop, Ilmenau.

09/2018: Point interactions on infinite graphs, Mikael-Passare-Day, Stockholm.

04/2018: Eigenvalue assignment for matrix pencils with application to network redesign,

                Seminario de Análisis Funcional "Mischa Cotlar", Buenos Aires.

03/2018: On the distance between DAEs, Siegmundsburg Workshop.

02/2018: On the gap distance between matrix pencils, Absolventen-Seminar Numerische

                 Mathematik, TU Berlin. Folien

08/2017: The end of the saga? A solution to a problem posed by R. Sommer, Siemundsburg

               Workshop, Ilmenau. Folien

06/2017: Rank one perturbation of matrix pencils with application to electric circuits,

               Forschungsseminar: Mathematische Modellierung & numerische Simulation, HU Berlin.

05/2017: Locally finite extensions of direct sum operators, Workshop of the GAMM Activity

                Group Applied Operator Theory, Hamburg.

03/2017: On the rank one inverse eigenvalue problem for Hermitian matrix pencils,

08/2016: Distance to singularity for DAEs, Oberseminar Systemtheorie, Erfurt. Folien

06/2016: The Dantzig Selector, Seminar "Sparse Recovery and Compressed Sensing",

03/2016: Eigenvalue placement for regular matrix pencils with rank one perturbations,

09/2015: Laplacians on infinite graphs, 4^th Najman conference on Spectral Problems for

07/2015: Konvergenz von Markovketten, Seminar "Graphen und Stochastik", TU Ilmenau.