Übungen Systemtheorie 1 (WS19/20)

Termin: Mo (U), 15:00-16:30, C113

Serie 1    Serie 2    Serie 3    Serie 4    Serie 5

Lösungen

Übungen Angewandte Analysis (WS19/20)

Termin: Fr (U), 11:00-12:30, C113   

Serie 1    Serie 2    Serie 3    Serie 4   Serie 5   Serie 6    Serie 7

 Ergänzung Bang-Bang      Lösungen

Vergangene Semester:

Mathe 2 für Physiker (SS19)

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:

11. On network redesign using rank-one updates with application

      to a Miller amplifier (with D. Krauße, R. Sommer, C. Trunk, H. Winkler),

      submitted to IEEE Xplore, pdf-file.

10. A Calderòn type inverse problem for quantum trees (with J. Rohleder),

      submitted, arXiv:2002.03670, pdf-file.

9. Locating the extremal entries of the Fiedler vector for rose trees,

    to appear in Proc. Appl. Math. Mech. 19. pdf-file

8. Invariance of the essential spectra of operator pencils (with N. Moalla,

     F. Philipp, W. Selmi, and C. Trunk), to appear at Oper. Th. Adv. Appl.

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

     (with J.P. Pade), Linear Algebra Appl. 570 (2019), pp. 93-122. 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), Linear Algebra Appl. 564, pp. 28-57. 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           

02/2020: Ergodic theorems, Functional Analysis Seminar, Ilmenau. Notes

03/2019: One-dimensional perturbations of singular matrix pencils, 9th Descriptor Workshop,

                Paderborn. Slides

02/2019: On the essential spectrum of operator pencils, 90th GAMM Annual Meeting,

                Vienna. Slides

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. Slides

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

               Workshop, Ilmenau. Slides

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. Slides

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.