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 (97)

  1. 2012
    Grundel, S.: Discrete Gradient Flows on surfaces using subdivision. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 745 - 746 (2012)
  2. Hossain, M.-S.; Benner, P.: Iterative Solvers for Periodic Matrix Equations and Model Reduction for Periodic Control Systems. In: 7th International Conference on Electrical and Computer Engineering (ICECE), pp. 791 - 794. 7th International Conference on Electrical and Computer Engineering, Dhaka, Bangladesh, December 20, 2012 - December 22, 2012. (2012)
  3. Li, S.; Feng, L.; Benner, P.; Seidel-Morgenstern, A.: Efficient Optimization of Simulated Moving Bed Processes Using Reduced Order Models. In: 22nd European Symposium on Computer Aided Process Engineering, pp. 1232 - 1236 (Eds. Bogle, D. L.; Fairweather, M.). ESCAPE 22 - 22nd European Symposium on Computer Aided Process Engineering, London, UK, June 17, 2012 - June 20, 2012. (2012)
  4. Mach, T.; Saak, J.: How Competitive is the ADI for Tensor Structured Equations? 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1 ), pp. 635 - 636 (2012)
  5. Pearson, J. W.; Stoll, M.; Wathen, A. J.: Robust Iterative Solution of a Class of Time-Dependent Optimal Control Problems. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 3 - 6 (2012)
  6. Reis, T.; Voigt, M.: Linear-quadratic infinite time horizon optimal control for differential-algebraic equations - a new algebraic criterion. In: 20th International Symposium on Mathematical Theory of Networks and Systems, pp. 1 - 8. 20th International Symposium on Mathematical Theory of Networks and Systems, Melbourne, Australia, July 09, 2012 - July 13, 2012. (2012)
  7. Saak, J.; Benner, P.; Kürschner, P.: A Goal-Oriented Dual LRCF-ADI for Balanced Truncation. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 14, 2012 - February 17, 2012. IFAC Proceedings Volumes 45 (2), pp. 752 - 757 (2012)
  8. 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)
  9. 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)
  10. 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)
  11. 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)
  12. 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)
  13. Benner, P.; Mach, T.: Locally Optimal Block Preconditioned Conjugate Gradient Method for Hierarchical Matrices. 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. 741 - 742 (2011)
  14. Benner, P.; Breiten, T.: On H2-Model Reduction of Linear Parameter-Varying Systems. 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. 805 - 806 (2011)
  15. Benner, P.; Hochstenbach, M.; Kürschner, P.: Two-sided Harmonic Subspace Extractions for the Generalized Eigenvalue Problem. 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. 739 - 740 (2011)
  16. 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)
  17. 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)
  18. 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)
  19. 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. 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)
  3. Weichelt, H. K.: Numerical Aspects of Flow Stabilization by Riccati Feedback. Dissertation, 217 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  4. Onwunta, A.: Low-Rank Iterative Solvers for Large-Scale Stochastic Galerkin Linear Systems. Dissertation, 158 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  5. Zhang, Y.: Model Order Reduction for Parameterized Nonlinear Evolution Equations. Dissertation, 160 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  6. Kürschner, P.: Efficient Low-Rank Solution of Large-Scale Matrix Equations. Dissertation, 247 pp., Shaker Verlag, Aachen (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 (19)

  1. 2018
    Hund, M.; Saak, J.: A Connection Between Time Domain Model Order Reduction and Moment Matching for LTI Systems. (2018)
  2. 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)
  3. 2017
    Benner, P.; Mitchell, T.: Extended and Improved Criss-Cross Algorithms for Computing the Spectral Value Set Abscissa and Radius. (2017)
  4. Benner, P.; Onwunta, A.; Stoll, M.: An Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems. (2017)
  5. Redmann, M.; Kürschner, P.: An H2-Type Error Bound for Time-Limited Balanced Truncation. (2017)
  6. Benner, P.; Mitchell, T.: Faster and more Accurate Computation of the H Norm via Optimization. (2017)
  7. 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)
  8. Kürschner, P.: Balanced Truncation Model Order Reduction in Limited Time Intervals for Large Systems. (2017)
  9. Benner, P.; Breiten, T.; Hartmann, C.; Schmidt, B.: Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations. (2017)
  10. 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)
  11. Benner, P.; Goyal, P. K.: Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems. (2017)
  12. Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Solving Optimal Control Problems governed by Random Navier-Stokes Equations using Low-Rank Methods. (2017)
  13. Benner, P.; Qiu, Y.; Stoll, M.: Low-rank Computation of Posterior Covariance Matrices in Bayesian Inverse Problems. (2017)
  14. 2016
    Kuehn, C.; Kürschner, P.: Combined Error Estimates for Local Fluctuations of SPDEs. (2016)
  15. Benner, P.; Goyal, P. K.; Gugercin, S.: H2-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems. (2016)
 
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