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Working Paper (23)

  1. Working Paper
    Behr, M.; Benner, P.; Heiland, J.: Solution Formulas for Differential Sylvester and Lyapunov Equations. (2018), 30 pages, 51 figures pp.
  2. Working Paper
    Benner, P.; Bujanović, Z.; Kürschner, P.; Saak, J.: A Numerical Comparison of Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations. (2018)
  3. Working Paper
    Benner, P.; Trautwein, C.: A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier-Stokes Equations. (2018), arXiv admin note: text overlap with arXiv:1809.00911 pp.
  4. Working Paper
    Benner, P.; Onwunta, A.; Stoll, M.: On the Existence and Uniqueness of the Solution of a Parabolic Optimal Control Problem with Uncertain Inputs. (2018)
  5. Working Paper
    Kürschner, P.; Dolgov, S.; Harris, K. D.; Benner, P.: Greedy Low-Rank Algorithm for Spatial Connectome Regression. (2018)
  6. Working Paper
    Benner, P.; Werner, S. W. R.: Hankel-Norm Approximation of Large-Scale Descriptor Systems. Submitted to Advances in Computational Mathematics (2018), 25 pages, 5 figures pp.
  7. Working Paper
    Benner, P.; Lang, N.: Peer Methods for the Solution of Large-Scale Differential Matrix Equations. (2018), 29 pages, 2 figures (including 6 subfigures each), 3 tables, Corrected typos pp.
  8. Working Paper
    Qiu, Y.; Grundel, S.; Stoll, M.; Benner, P.: Efficient Numerical Methods for Gas Network Modeling and Simulation. (2018), 25 pages, 21 figures pp.
  9. Working Paper
    Benner, P.; Heinkenschloss, M.; Saak, J.; Weichelt, H. K.: Efficient Solution of Large-Scale Algebraic Riccati Equations Associated with Index-2 DAEs via the Inexact Low-Rank Newton-ADI Method. (2018), 21 pages, 2 figures, 4 tables pp.
  10. Working Paper
    Behr, M.; Benner, P.; Heiland, J.: Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients. (2017)
  11. Working Paper
    Benner, P.; Feng, L.; Kweyu, C. M.; Stein, M.: Fast Solution of the Poisson-Boltzmann Equation with nonaffine Parametrized Boundary Conditions Using the Reduced Basis Method. (2017), 22 pages, 14 figures pp.
  12. Working Paper
    Benner, P.; Goyal, P. K.: Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems. (2017)
  13. Working Paper
    Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Solving Optimal Control Problems governed by Random Navier-Stokes Equations using Low-Rank Methods. (2017), 29 pages pp.
  14. Working Paper
    Du, X.; Benner, P.: Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation. (2016)
  15. Working Paper
    Du, X.; Benner, P.: Balanced Truncation of Linear Time-Invariant Systems over Finite-frequency Ranges. (2016)
  16. Working Paper
    Benner, P.; Liang, X.; Miodragović, S.; Truhar, N.: Relative Perturbation Theory for Quadratic Eigenvalue Problems. (2016)

Report (3)

  1. Report
    Annual Report 2014 / Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg. (2015), 64 pp.
  2. Report
    Benner, P.; Mena, H.; Schneider, R.: Drugs, Herbicides, and Numerical Simulation (Snapshots of modern mathematics from Oberwolfach, 10). (2014), 9 pp.
  3. Report
    Annual Report 2013 / Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg. (2014), 64 pp.

Issue (3)

  1. Issue
    Benner, P.; Sadkane, M.; Salam, A. (Eds.): Special issue dedicated to a workshop held at CIRM, Luminy (France), October 8–12, 2012 (Special issue). BIT Numerical Mathematics 54 (1) (2014)
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