Publications

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Journal Article (210)

  1. 1.
    Journal Article
    Ahmad, M. I.; Benner, P.; Feng, L.: A New Two-Sided Projection Technique for Model Reduction of Quadratic-Bilinear Descriptor Systems. International Journal of Computer Mathematics 96 (10), pp. 1899 - 1909 (2019)
  2. 2.
    Journal Article
    Ahmad, M. I.; Benner, P.; Feng, L.: Interpolatory Model Reduction for Quadratic-Bilinear Systems using Error Estimators. Engineering Computations 36 (1), pp. 25 - 44 (2019)
  3. 3.
    Journal Article
    Behr, M.; Benner, P.; Heiland, J.: Solution Formulas for Differential Sylvester and Lyapunov Equations. CALCOLO: A Quarterly on Numerical Analysis and Theory of Computation 56 (4), 51 (2019)
  4. 4.
    Journal Article
    Benner, P.; Trautwein, C.: Optimal Control Problems Constrained by the Stochastic Navier-Stokes Equations with Multiplicative Lévy Noise. Mathematische Nachrichten 292 (7), pp. 1444 - 1461 (2019)
  5. 5.
    Journal Article
    Benner, P.; Werner, S. W. R.: Hankel-Norm Approximation of Large-Scale Descriptor Systems. Advances in Computational Mathematics (accepted)
  6. 6.
    Journal Article
    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. Applied Numerical Mathematics (accepted)
  7. 7.
    Journal Article
    Benner, P.; Seidel-Morgenstern, A.; Zuyev, A.: Periodic Switching Strategies for an Isoperimetric Control Problem with Application to Nonlinear Chemical Reactions. Applied Mathematical Modelling 69, pp. 287 - 300 (2019)
  8. 8.
    Journal Article
    Benner, P.; Khoromskaia, V.; Khoromskij, B. N.; Yang, C.: Computing the Density of States for Optical Spectra of Molecules by Low-Rank and QTT Tensor Approximation. Journal of Computational Physics 382, pp. 221 - 239 (2019)
  9. 9.
    Journal Article
    Benner, P.; Mitchell, T.: Extended and Improved Criss-Cross Algorithms for Computing the Spectral Value Set Abscissa and Radius. SIAM Journal on matrix analysis and applications 40 (4), pp. 1325 - 1352 (2019)
  10. 10.
    Journal Article
    Benner, P.; Herzog, R.; Lang, N.; Riedel, I.; Saak, J.: Comparison of Model Order Reduction Methods for Optimal Sensor Placement for Thermo-Elastic Models. Engineering Optimization 51 (3), pp. 465 - 483 (2019)
  11. 11.
    Journal Article
    Benner, P.; Onwunta, A.; Stoll, M.: A Low-Rank Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems. Computational Methods in Applied Mathematics 19 (1), pp. 5 - 22 (2019)
  12. 12.
    Journal Article
    Benner, P.; Cao, X.; Schilders, W.: A Bilinear H2 Model Order Reduction Approach to Linear Parameter-Varying Systems. Advances in Computational Mathematics (2019)
  13. 13.
    Journal Article
    Benner, P.; Breiten, T.; Hartmann, C.; Schmidt, B.: Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations. Journal of Computational Dynamics (accepted)
  14. 14.
    Journal Article
    Benner, P.; Himpe, C.: Cross-Gramian-Based Dominant Subspaces. Advances in Computational Mathematics (accepted)
  15. 15.
    Journal Article
    Benner, P.; Dufrechou, E.; Ezzatti, P.; Remón, A.; Saak, J.: A GPU-Aware Mixed-Precision Solver for Low-Rank Algebraic Riccati Equations. Concurrency and Computation: Practice and Experience 31 (6), e4462 (2019)
  16. 16.
    Journal Article
    Benner, P.; Trautwein, C.: Optimal Distributed and Tangential Boundary Control for the Unsteady Stochastic Stokes Equations. ESAIM: Control, Optimisation and Calculus of Variations (accepted)
  17. 17.
    Journal Article
    Feng, L.; Benner, P.: New Error Estimator for Reduced-order Modeling of Linear Parametric Systems. IEEE Transactions on Microwave Theory and Techniques (accepted)
  18. 18.
    Journal Article
    Kürschner, P.; Dolgov, S.; Harris, K. D.; Benner, P.: Greedy Low-Rank Algorithm for Spatial Connectome Regression. The Journal of Mathematical Neuroscience 9, 9 (2019)
  19. 19.
    Journal Article
    Pontes Duff, I.; Grundel, S.; Benner, P.: New Gramians for Linear Switched Systems: Reachability, Observability, and Model Reduction. IEEE Transactions on Automatic Control (accepted)
  20. 20.
    Journal Article
    Pontes Duff, I.; Goyal, P. K.; Benner, P.: Balanced Truncation for a Special Class of Bilinear Descriptor Systems. IEEE Control Systems Letters 3 (3), pp. 535 - 540 (2019)
 
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