Publications in Physics

T. Brandes, R. Aguado, G. Platero, Charge Transport Through Open, Driven Two-Level Systems with Dissipation,
Physical Review B 69, 205326, (2004).

C. Emary and T. Brandes, Phase transitions in generalized spin-boson (Dicke) models,
Physical Review A 69, 053804, (2004).

T. Brandes, Coherent and Collective Quantum Optical Effects in Mesoscopic Systems,
Physics Reports 408 (5-6), 315-474, (2005).

G. Schaller, S. Mostame, and R. Schützhold, General error estimate for adiabatic quantum computing,
Physical Review A 73, 062307, (2006).

R. Schützhold and G. Schaller, Adiabatic quantum algorithms as quantum phase transitions: First versus second order,
Physical Review A 74, 060304(R), (2006).

S. Mostame, G. Schaller, and R. Schützhold, Decoherence in a dynamical quantum phase transition of the transverse Ising chain,
Physical Review A 76, 030304(R), (2007).

G. Schaller and T. Brandes, Preservation of Positivity by Dynamical Coarse-Graining,
Physical Review A 78, 022106, (2008).

G. Schaller, Adiabatic preparation without Quantum Phase Transitions,
Physical Review A 78, 032328, (2008).

G. Schaller, P. Zedler, and T. Brandes, Systematic perturbation theory for dynamical coarse-graining,
Physical Review A 79, 032110, (2009).

P. Zedler, G. Schaller, G. Kießlich, C. Emary, and T. Brandes, Weak coupling approximations in non-Markovian Transport,
Physical Review B 80, 045309, (2009).


Publications in Mathematics


T. Apel, V. Mehrmann and D. Watkins, Numerical Solution of Large Scale Structured Polynomial or Rational Eigenvalue Problems,
Foundations of Computational Mathematics, Minneapolis 2002.
London Mathematical Society, Lecture Note Series 312, Edited by F. Cucker, R. DeVore, P. Olver, E. Süli,
Cambridge University Press, Cambridge, 137--157, (2004).

A. Hilliges, C. Mehl and V. Mehrmann, On the solution of palindromic eigenvalue problems,
Proceedings of the 4th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS),
 Jyväskylä, Finland, http://www.mit.jyu.fi/eccomas2004/proceedings/pdf/438.pdf, (2004).

V. Mehrmann, Numerical Solution of Structured Eigenvalue Problems,
Proceedings of CEDYA 2005, XIX Congreso de Ecuaciones Diferenciales y Aplicaciones,
Universidad Carlos III de Madrid at Leganes, (2005).

P. Benner, V. Mehrmann, and D.C. Sorensen, (editors), Dimension Reduction of Large-Scale Systems,
Lecture Notes in Computational Science and Engineering 45, Springer Verlag, Heidelberg, (2005).

V. Mehrmann and H. Voss, Nonlinear Eigenvalue Problems: A Challenge for Modern Eigenvalue Methods,
Mitt. der Ges. für Angewandte Mathematik and Mechanik 27, 121--151, (2005).

S. Bora, and V. Mehrmann, Perturbation theory for structured matrix pencils arising in control theory,
SIAM Journal Matrix Analysis and Applications 28, 1029-1051, (2006).

P. Benner, R. Byers, V. Mehrmann and H. Xu, A robust numerical method for the γ-iteration in H-control,
Linear Algebra and its Applications 425, 548--570, (2007).

D. Chu, X. Liu and  V. Mehrmann, A numerical  method for computing the Hamiltonian Schur form,
Numerische Mathematik 105, 375--412, (2007).

D.S. Mackey, N. Mackey, C. Mehl, and V. Mehrmann, Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form,
Numerical Linear Algebra with Applications 16, 63--86, (2009).

V. H. Linh and V. Mehrmann, Lyapunov, Bohl and Sacker-Sell Spectral Intervals for Differential-Algebraic Equations,
Journal on Dynamics and Differential Equations 21, 153--194, (2009).

V. Mehrmann, C. Schröder, and D.S. Watkins, A new block method for computing the Hamiltonian Schur form,
Linear Algebra and its Applications 431, 350--368, (2009).

U. Kandler and C. Schröder, Backward error analysis of an inexact Arnoldi method using a certain Gram Schmidt variant,
Preprint 10-3013, TU Berlin , (2013).