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Dr. rer. nat. Patrick Kürschner

Dr. rer. nat. Patrick Kürschner

Research associate of workgroup Computational Methods in Systems and Control Theory (Prof. Dr. Peter Benner)
Postal adress: Max Planck Institute
for Dynamics of Complex Technical Systems
Sandtorstr. 1
39106 Magdeburg
Germany
Patrick Kürschner
Office: Room S2.14
Phone: 424
Fax: +49 391 6110 500 MPI Magdeburg
E-Mail: kuerschner@mpi-magdeburg.mpg.de

Fields of research

  • Model order reduction
    • Modal and balanced truncation methods for LTI systems
  • Numerical linear algebra
    • Matrix equations
    • Linear and nonlinear eigenvalue problems
    • Jacobi-Davidson methods and Rayleigh quotient iteration

News

Preprint: Combined Error Estimates for Local Fluctuations of SPDEs


November 14th, 2016
In this work, Christian Kuehn and Patrick Kürschner study the numerical approximation of local fluctuations of certain classes SPDEs. Combined ERror EStimates (CERES) are developed for the four main errors: the spatial discretization error, the local linearization error, the local relaxation error to steady state, and the approximation error w.r.t. the covariance matrix computed by an iterative low-rank algorithm for Lyapunov equations.
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Patrick Kürschner, kuerschner@mpi-magdeburg.mpg.de