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

Conference Paper (93)

  1. 2011
    Benner, P.; Voigt, M.: On the Computation of Particular Eigenvectors of Hamiltonian Matrix Pencils. 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Graz, Austria, April 18, 2011 - April 21, 2011. Proceedings in Applied Mathematics and Mechanics 11 (1), pp. 753 - 754 (2011)
  2. Benner, P.; Voigt, M.: L-Norm Computation for Discrete-Time Descriptor Systems. In: Proceedings GMA FA 1.30 2011, pp. 228 - 240. GMA FA 1.30 Workshop "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik", Salzburg, Österreich, September 21, 2011 - September 23, 2011. (2011)
  3. Benner, P.; Eberhard, P.; Knoll, G.; Kürschner, P.; Nowakowski, C.; Ochse, G.: Optimale FE-Reduktion, Moderne Modellreduktion elastischer Bauteile für die Simulation flexibler Mehrkörpersysteme. In: Informationstagung Motoren: Frühjahrstagung 2011, Vol. Heft R 553, pp. 175 - 197. FVV Frühjahrstagung 2011, Bad Neuenahr, Germany, March 17, 2011 - March 18, 2011. (2011)
  4. Benner, P.; Ezzatti, P.; Mena, H.; Quintana-Ortí, E. S.; Remón, A.: Solving Differential Riccati Equations on Multi-GPU Platforms. In: Proceedings of the 11th International Conference on Computational and Mathematical Methods in Science and Engineering - CMMSE, pp. 178 - 188. International Conference on Computational and Mathematical Methods in Science and Engineering - CMMSE, Alicante, Spain, June 26, 2011 - June 30, 2011. (2011)
  5. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: High Performance Matrix Inversion of SPD Matrices on Graphics Processors. In: International Conference on High Performance Computing and Simulation (HPCS), pp. 640 - 646. International Conference on High Performance Computing and Simulation HPCS 2011, Istanbul, Turkey, July 04, 2011 - July 08, 2011. (2011)
  6. Benner, P.; Hochstenbach, M. E.; Kürschner, P.: Model Order Reduction of Large-Scale Dynamical Systems with Jacobi-Davidson Style Eigensolvers. In: 2011 International Conference on Communications, Computing and Control Applications (CCCA 2011), pp. 1 - 6. 2011 International Conference on Comunications, Computing and Control Applications - CCCA 2011, Hammamet, Tunesia, March 03, 2011 - March 05, 2011. (2011)
  7. Bonin, T.; Soppa, A.; Saak, J.; Zäh, M.; Faßbender, H.; Benner, P.: Moderne Modellordnungsreduktionsverfahren für Finite-Elemente-Modelle zur Simulation von Werkmaschinen. In: Fachtagung Mechatronik, pp. 333 - 338. Fachtagung Mechatronik, Dresden, Germany, March 31, 2011 - April 01, 2011. (2011)
  8. 2010
    Benner, P.; Schneider, A.: Balanced Truncation Model Order Reduction for LTI Systems with many Inputs or Outputs. In: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems, pp. 1971 - 1974 (Ed. Edelmayer, A.). 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010, Budapest, Hungary, July 05, 2010 - July 09, 2010. (2010)
  9. Breiten, T.; Benner, P.: Nonlinear Model Order Reduction via Quadratic Bilinear Differential Algebraic Equations. In: Proceedings GMA FA 1.30 2010, pp. 138 - 153 (Eds. Lohmann, B.; Kugi, A.). GMA FA 1.30 Workshop "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik", Salzburg, Österreich, September 22, 2010 - September 24, 2010. (2010)

Meeting Abstract (5)

  1. 2016
    Benner, P.; Goyal, P. K.: Algebraic Gramians for Quadratic-Bilinear Systems and their Application in Model Order Reduction. In: Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems, pp. 81 - 83. 22nd International Symposium on Mathematical Theory of Networks and Systems, Minnesota, USA, July 12, 2016 - July 15, 2016. (2016)
  2. 2015
    Banagaaya, N.; Feng, L.; Meuris, P.; Schoenmaker, W.; Benner, P.: Model Order Reduction of an Electro-Thermal Package Model. In: IFAC-PapersOnLine, Vol. 48, pp. 934 - 935. 8th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 18, 2015 - February 20, 2015. (2015)
  3. Grundel, S.; Jansen, L.: A joint IMEX-MOR approach for Water Networks. In: IFAC-PapersOnLine, Vol. 48, pp. 260 - 261. 8th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 18, 2015 - February 20, 2015. (2015)
  4. Lang, N.; Saak, J.; Stykel, T.: Towards Practical Implementations of Balanced Truncation for LTV Systems. In: IFAC-PapersOnLine, Vol. 48, pp. 7 - 8. 8th Vienna Conference on Mathematical Modelling - MATHMOD 2015, Vienna, Austria, February 18, 2015 - February 20, 2015. (2015)
  5. Zhang, Y.; Feng, L.; Li, S.: An Efficient Output Error Bound for Model Order Reduction of Parametrized Evolution Equations. In: IFAC-PapersOnLine, Vol. 48, pp. 9 - 10. 8th Vienna International Conference on Mathematical Modelling MATHMOD, Vienna, Austria, February 18, 2015 - February 20, 2015. (2015)

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 (10)

  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. 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)
  3. Benner, P.; Breiten, T.; Hartmann, C.; Schmidt, B.: Model Reduction of Controlled Fokker--Planck and Liouville-von Neumann Equations. (2017)
  4. Kürschner, P.: Balanced Truncation Model Order Reduction in Limited Time Intervals for Large Systems. (2017)
  5. 2016
    Baumann, M.; Benner, P.; Heiland, J.: Space-time Galerkin POD with Application in Optimal Control of Semi-Linear Parabolic Partial Differential Equations. (2016)
  6. Benner, P.; Goyal, P. K.; Gugercin, S.: H2-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems. (2016)
  7. Benner, P.; Liang, X.; Miodragović, S.; Truhar, N.: Relative Perturbation Theory for Quadratic Eigenvalue Problems. (2016)
  8. Du, X.; Benner, P.: Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation. (2016)
  9. Du, X.; Benner, P.: Balanced Truncation of Linear Time-Invariant Systems over Finite-frequency Ranges. (2016)
  10. Kuehn, C.; Kürschner, P.: Combined Error Estimates for Local Fluctuations of SPDEs. (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 (13)

  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. 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. 2016
    Grepl, M.; Lohmann, B.; Saak, J.: Introduction. Mathematical and Computer Modelling of Dynamical Systems 22 (4), pp. 265 - 266 (2016)
  5. 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. 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)
  7. 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)
  8. 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)
  9. 2014
    Benner, P.; Rannacher, R.: Introduction to Part III Adaptivity and Model Reduction. Trends in PDE Constrained Optimization, pp. 249 - 250 (2014)
 
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