Head of the Group

Prof. Dr. Peter Benner
Prof. Dr. Peter Benner
Phone: +49 391 6110 450
Fax: +49 391 6110 453

Contact Person

Diana Noatsch-Liebke
Phone: +49 391 6110 450
Fax: +49 391 6110 526
Janine Holzmann
Phone: +49 391 6110 416
Fax: +49 391 6110 637

Group Page

Publications

Publications CSC group

Thesis - Dissertation (11)

  1. 2016
    Hess, M. W.: Reduced Basis Approximations for Electromagnetic Applications. Dissertation, 169 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  2. Kürschner, P.: Efficient Low-Rank Solution of Large-Scale Matrix Equations. Dissertation, 247 pp., Shaker Verlag, Aachen (2016)
  3. Onwunta, A.: Low-Rank Iterative Solvers for Large-Scale Stochastic Galerkin Linear Systems. Dissertation, 158 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  4. Redmann, M.: Balancing Related Model Order Reduction Applied to Linear Controlled Evolution Equations with Lévy Noise. Dissertation, 198 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  5. Weichelt, H. K.: Numerical Aspects of Flow Stabilization by Riccati Feedback. Dissertation, 217 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  6. Zhang, Y.: Model Order Reduction for Parameterized Nonlinear Evolution Equations. Dissertation, 160 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  7. 2015
    Bruns, A. S.: Bilinear H2-optimal Model Order Reduction with applications to thermal parametric systems. Dissertation, 191 pp., Otto-von-Guericke Universität, Magdeburg (2015)
  8. Uddin, M. M.: Computational Methods for Model Reduction of Large-Scale Sparse Structured Descriptor Systems. Dissertation, 123 pp., Otto-von-Guericke Universität, Magdeburg (2015)
  9. Voigt, M.: On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems. Dissertation, 310 pp., Logos, Berlin (2015)
  10. 2013
    Breiten, T.: Interpolatory Methods for Model Reduction of Large-Scale Dynamical Systems. Dissertation, 203 pp., Otto-von-Guericke Universität, Magdeburg (2013)
  11. 2012
    Mach, T.: Eigenvalue Algorithms for Symmetric Hierarchical Matrices. Dissertation, 175 pp., Technische Universität, Chemnitz (2012)

Working Paper (7)

  1. 2017
    Aliyev, N.; Benner, P.; Mengi, E.; Schwerdtner, P.; Voigt, M.: Large-Scale Computation of L-Norms by a Greedy Subspace Method. (2017), 23 pages, 3 figures pp.
  2. 2016
    Baumann, M.; Benner, P.; Heiland, J.: Space-time Galerkin POD with Application in Optimal Control of Semi-Linear Parabolic Partial Differential Equations. (2016)
  3. Benner, P.; Goyal, P. K.; Gugercin, S.: H2-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems. (2016)
  4. Benner, P.; Liang, X.; Miodragović, S.; Truhar, N.: Relative Perturbation Theory for Quadratic Eigenvalue Problems. (2016)
  5. Du, X.; Benner, P.: Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation. (2016)
  6. Du, X.; Benner, P.: Balanced Truncation of Linear Time-Invariant Systems over Finite-frequency Ranges. (2016)
  7. Jongsma, H.-J.; Mlinarić, P.; Grundel, S.; Benner, P.; Trentelman, H. L.: Model Reduction of Linear Multi-Agent Systems by Clustering and Associated H2- and H-Error Bounds. (2016)

Report (3)

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

Issue (3)

  1. 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)
  2. 2013
    Benner, P.; Kressner, D. (Eds.): Special Issue (Special issue). GAMM-Mitteilungen 36 (1) (2013)
  3. 2012
    Benner, P.; Embree, M.; Kelley, C. T.; Lehoucq, R. B. (Eds.): Special Issue dedicated to Danny Sorensen's 65th birthday (Special issue). Linear Algebra and its Applications 436 (8) (2012)

Editorial (11)

  1. 2017
    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. Benner, P.: Preface: System Reduction for Nanoscale IC Design. System Reduction for Nanoscale IC Design, pp. v - vii (2017)
  3. 2016
    Grepl, M.; Lohmann, B.; Saak, J.: Introduction. Mathematical and Computer Modelling of Dynamical Systems 22 (4), pp. 265 - 266 (2016)
  4. 2015
    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)
  5. 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)
  6. 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)
  7. 2014
    Benner, P.; Rannacher, R.: Introduction to Part III Adaptivity and Model Reduction. Trends in PDE Constrained Optimization, pp. 249 - 250 (2014)
  8. 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)
  9. 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)
  10. 2013
    Benner, P.; Kressner, D.: Preface of the Guest-Editors. GAMM Mitteilungen 36 (1), pp. 6 - 7 (2013)
  11. 2012
    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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