Publications

Publications

Paper (22)

  1. 401.
    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. (2018)
  2. 402.
    Benner, P.; Breiten, T.; Hartmann, C.; Schmidt, B.: Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations. (2018)
  3. 403.
    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. (2018)
  4. 404.
    Benner, P.; Goyal, P. K.: Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems. (2018)
  5. 405.
    Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Solving Optimal Control Problems governed by Random Navier-Stokes Equations using Low-Rank Methods. (2018)
  6. 406.
    Benner, P.; Khoromskaia, V.; Khoromskij, B. N.; Yang, C.: Computing the Density of States for Optical Spectra by Low-Rank and QTT Tensor Approximation. (2018)
  7. 407.
    Benner, P.; Mitchell, T.: Extended and Improved Criss-Cross Algorithms for Computing the Spectral Value Set Abscissa and Radius. (2018)
  8. 408.
    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)
  9. 409.
    Kuehn, C.; Kürschner, P.: Combined Error Estimates for Local Fluctuations of SPDEs. (2018)
  10. 410.
    Mlinarić, P.; Ishizaki, T.; Chakrabortty, A.; Grundel, S.; Benner, P.; Imura, J.-i.: Synchronization and Aggregation of Nonlinear Power Systems with Consideration of Bus Network Structures. (2018)
  11. 411.
    Pontes Duff, I.; Grundel, S.; Benner, P.: New Gramians for Linear Switched Systems: Reachability, Observability, and Model Reduction. (2018)
  12. 412.
    Qiu, Y.; Grundel, S.; Stoll, M.; Benner, P.: Efficient Numerical Methods for Gas Network Modeling and Simulation. (2018)
  13. 413.
    Stillfjord, T.: Singular Value Decay of Operator-valued Differential Lyapunov and Riccati Equations. (2018)
  14. 414.
    Benner, P.; Lang, N.: Peer Methods for the Solution of Large-Scale Differential Matrix Equations. (2018)
  15. 415.
    Benner, P.; Liang, X.; Miodragović, S.; Truhar, N.: Relative Perturbation Theory for Quadratic Eigenvalue Problems. (2018)
  16. 416.
    Du, X.; Benner, P.: Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation. (2018)
  17. 417.
    Du, X.; Benner, P.: Balanced Truncation of Linear Time-Invariant Systems over Finite-frequency Ranges. (2018)

Report (3)

  1. 418.
    Annual Report 2014 / Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg. (2015), 64 pp.
  2. 419.
    Benner, P.; Mena, H.; Schneider, R.: Drugs, Herbicides, and Numerical Simulation (Snapshots of modern mathematics from Oberwolfach, 10). (2014), 9 pp.
  3. 420.
    Annual Report 2013 / Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg. (2014), 64 pp.

Editorial (13)

  1. 421.
    Benner, P.; Cohen, A.; Ohlberger, M.; Willcox, K.: Preface: Model Reduction and Approximation: Theory and Algorithms. Model Reduction and Approximation: Theory and Algorithms, pp. xix - xx (2017)
  2. 422.
    Benner, P.: Preface: System Reduction for Nanoscale IC Design. System Reduction for Nanoscale IC Design, pp. v - vii (2017)
  3. 423.
    Rozza, G.; Benner, P.; Ohlberger, M.; Patera, A. T.; Urban, K.: Preface: Model Reduction of Parametrized Systems. Model Reduction of Parametrized Systems 17, pp. v - vi (2017)
  4. 424.
    Grepl, M.; Lohmann, B.; Saak, J.: Introduction. Mathematical and Computer Modelling of Dynamical Systems 22 (4), pp. 265 - 266 (2016)
  5. 425.
    Zhou, B.; Chu, D.; Saak, J.; Xiao, M.: Matrix Equations with Application to Control Theory. Journal of the Franklin Institute 353 (5), pp. 971 - 973 (2016)
  6. 426.
    Benner, P.; Bollhöfer, M.; Kressner, D.; Mehl, C.; Stykel, T.: Preface: Festschrift in Honor of Volker Mehrmann. Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, pp. V - XVII (2015)
  7. 427.
    Benner, P.; Herzog, R.; Hinze, M.; Rösch, A.; Schiela, A.; Schulz, V.: Introduction to the special issue for EUCCO 2013. Computational Optimization and Applications 62 (1), pp. 1 - 3 (2015)
  8. 428.
    Benner, P.; Ohlberger, M.; Patera, A. T.; Rozza, G.; Sorensen, D. C.; Urban, K.: Model Order Reduction of Parameterized Systems (MoRePaS). Advances in Computational Mathematics 41 (5), pp. 955 - 960 (2015)
  9. 429.
    Benner, P.; Sadkane, M.; Salam, A.: Structured Matrix Computations in Non-Euclidean Geometries: Algorithms and Applications: Algorithms and Applications: Editorial of the Special Issue dedicated to a Workshop held at CIRM, Luminy (France), October 8-12, 2012. BIT Numerical Mathematics 54 (1), pp. 1 - 5 (2014)
  10. 430.
    Benner, P.; Rannacher, R.: Introduction to Part III Adaptivity and Model Reduction. Trends in PDE Constrained Optimization, pp. 249 - 250 (2014)
  11. 431.
    Leugering, G.; Griewank, A.; Ulbrich, S.; Harbrecht, H.; Benner, P.; Rannacher, R.; Hinze, M.; Engell, S.: Introduction. Trends in PDE Constrained Optimization, pp. 1 - 4 (2014)
  12. 432.
    Benner, P.; Kressner, D.: Preface of the Guest-Editors. GAMM Mitteilungen 36 (1), pp. 6 - 7 (2013)
  13. 433.
    Benner, P.; Embree, M.; Lehoucq, R. B.; Kelley, C. T.: A Mathematical Biography of Danny C. Sorensen. Linear Algebra and its Applications 436 (8), pp. 2717 - 2724 (2012)
 
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