Dr. Patrick Kürschner

Higher Education

• 08/2010-09/2015: Ph. D. student in mathematics at the Otto-von-Guericke University of Magdeburg.
• Obtained  degree Dr. rer. nat. in 02/2016
• Topic of Ph.D. thesis: Efficient Low-Rank Solution of Large-Scale Matrix Equations.
• Supervisor: Prof. Peter Benner

• 2008-2010: student of mathematik at the Chemnitz UT. 
• Obtained M. sc. degree in 07/2010
  
• Topic of Master's thesis: Two-sided Eigenvalue Algorithms for Modal Approximation.
• Supervisor: Prof. Peter Benner and Dr. Michiel E. Hochstenbach (TU Eindhoven).

• 2004-2008: student of financial mathematics at the Chemnitz UT.
• Obtained  B. sc.  degree in 03/2008:
  
• Topic of Bachelor's thesis: Der Jacobi-Davidson-Algorithmus auf Parallelrechnern (in German).
• Supervisor: Prof. Peter Benner und Dr. Matthias Pester.

Work Experience

• Since 01/2019: Postdoctoral research associate of KU Leuven, Electrical Engineering (ESAT), Kulak Kortrijk Campus
  
• 05/2016-12/2018: postdoctoral research associate at the Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg
  

• 01/2011-05/2016: research associate at the Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg
  
• 07/2010-12/2011: teaching assistant the faculty of mathematics,Otto-von-Guericke Universty of Magdeburg
  
• 07/2010-12/2010: research associate  at the faculty of mathematics, Chemnitz UT.
• 10/2004-07/2010: student / research assistant at the faculty of mathematics, Chemnitz UT.
  

Selected Publications

1. P. Kürschner, Residual minimizing shift parameters for the low-rank ADI iteration, ArXiv e-print
   1811.05500, 2018, https://arxiv.org/abs/1811.05500, submitted.
2. P. Benner, Z. Bujanovic , P. Kürschner, J. Saak, A numerical comparison of different solvers for large-scale, continuous-time algebraic Riccati equations, ArXiv e-print 1811.00850, 2018, https://arxiv.org/abs/1811.00850, submitted.
3. Patrick Kürschner , Melina Freitag, Inexact methods for the low rank solution to large scale Lyapunov equations, ArXiv e-print 1809.06903, 2018, submitted.
   
4. Patrick Kürschner, Sergey Dolgov, Kameron Decker Harris, Peter Benner: Greedy low-rank algorithm for spatial connectome regression; arXiv eprint 1808.05510, submitted, 2018.
5. Martin Redmann, Patrick Kürschner: An Output Error Bound for Time-Limited Balanced Truncation;  System & Control Letters, 121, pp. 1 -6, 2018.
   
6. Patrick Kürschner: Balanced truncation model order reduction in limited time intervals for large systems; Adv. in Comput. Math., 44(6), pp. 1821–1844, 2018.
   
7. Peter Benner, Zvonimir Bujanovic, Patrick Kürschner: RADI: A low-rank ADI-type algorithm for large scale algebraic Riccati equations; Numerische Mathematik  : 138(2), pp. 301–330; 2018.
   
8. Melina Freitag, Patrick Kürschner and Jennifer Pestana: GMRES Convergence Bounds for Eigenvalue Problems; Comput. Meth. Appl. Mat.,  18(2), pp. 203-222, 2018.  
   
9. Peter Benner, Patrick Kürschner, Jens Saak: Frequency-Limited Balanced Truncation with Low-Rank Approximations; SIAM J. of Scientific Computing: 38(1), pp. A471–A499, 2016.
10. Melina Freitag, Patrick Kürschner: Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration; Numerical Linear Algebra with Applications: 22(1), pp. 175-196;  2015.
11. Peter Benner, Patrick Kürschner, Zoran Tomljanović, Truhar, Ninoslav: Semi-active damping optimization of vibrational systems using the parametric dominant pole algorithm; ZAMM - Journal of Applied Mathematics and Mechanics, 2015.
    
12. Peter Benner, Patrick Kürschner, Jens Saak: Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations; Electronic Transaction on Numerical Analysis: 43, pp. 142-162; 2014.
    
13. Peter Benner, Patrick Kürschner: Computing Real Low-rank Solutions of Sylvester equations by the Factored ADI Method; Computers and Mathematics with Applications:  67(9), pp. 1656-1672; 2014.
    doi:10.1016/j.camwa.2014.03.004.
14. Peter Benner, Patrick Kürschner, Jens Saak: Efficient Handling of Complex Shift Parameters in the Low-Rank Cholesky Factor ADI method; Numerical Algorithms:  62(2), pp. 225-251;  2013.
    
15. Peter Benner, Patrick Kürschner, Jens Saak: An Improved Numerical Method for Balanced Truncation for Symmetric Second Order Systems; Mathematical and Computer Modelling of Dynamical Systems: 19(6), pp. 593-615; 2013.
    
16. Christine Nowakowski, Patrick Kürschner, Peter Eberhard, Peter Benner: Model Reduction of an Elastic Crankshaft for Elastic Multibody Simulations; ZAMM - Journal of Applied Mathematics and Mechanics:  93(4), p. 198-216, 2013.