Mathematik 2 für Physiker

 Serie 13    Serie 14   Serie 15   Serie 16   Serie 17   Serie 18   Serie 19

      Serie 20   Serie 21    Vorbereitung LK    Serie 22   Serie 23   Serie 24   Zusatzaufgaben

Lösungen Mathe 2

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:

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), submitted.

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

     (with J.P. Pade), Linear Algebra Appl. 570 (2019), 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), 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           

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.