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 (82)

  1. 2013
    Benner, P.; Denißen, J.; Kohaupt, L.: Bounds on the Solution of Linear Time-Periodic Systems. 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad, Serbia, March 18, 2013 - March 22, 2013. Proceedings in Applied Mathematics and Mechanics 13 (1), pp. 447 - 448 (2013)
  2. Benner, P.; Lang, N.; Saak, J.: Modellordnungsreduktion für geschaltete, gekoppelte thermo-elastische Systeme. In: Tagungsband des GMA-Fachausschusses 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", pp. 215 - 227. GMA Fachausschuss 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", Salzburg, Österreich, September 18, 2013 - September 20, 2013. (2013)
  3. Benner, P.; Lang , N.; Saak, J.: Modeling Structural Variability in Reduced Order Models of Machine Tool Assembly Groups via Parametric MOR. 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad, Serbia, March 18, 2013 - March 22, 2013. Proceedings in Applied Mathematics and Mechanics 13 (1), pp. 481 - 482 (2013)
  4. Benner, P.; Kürschner, P.; Saak, J.: A Reformulated Low-Rank ADI Iteration with Explicit Residual Factors. 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad, Serbia, March 18, 2013 - March 22, 2013. Proceedings in Applied Mathematics and Mechanics 13 (1), pp. 585 - 586 (2013)
  5. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Trading Off Performance for Power-Energy in Dense Linear Algebra Operations. In: Proceedings of VI Latin American Symposium on High Performance Computing - HPCLatAm 2013, pp. 158 - 166. VI Latin American Symposium on High Performance Computing - HPCLatAm 2013, Mendoza, Argentina, July 29, 2013 - July 30, 2013. (2013)
  6. Benner, P.; Redmann, M.: Reachability and Observability Concepts for Stochastic Systems. 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad, Serbia, March 18, 2013 - March 22, 2013. Proceedings in Applied Mathematics and Mechanics 13 (1), pp. 381 - 382 (2013)
  7. Benner, P.; Lowe, R.; Voigt, M.: Computation of the H-Norm for Large-Scale Systems. In: Oberwolfach Reports, Vol. 10, pp. 3289 - 3291. Numerical Solution of PDE Eigenvalue Problems, Workshop ID: 1347, Oberwolfach, November 17, 2013 - November 23, 2013. (2013)
  8. De Luca, G.; Antonini, G.; Benner, P.: A Parallel, Adaptive Multi-Point Model Order Reduction Algorithm. In: 2013 IEEE 22nd Conference on Electrical Performance of Electronic Packaging and Systems, EPEPS 2013, pp. 115 - 118. 2013 IEEE 22nd Conference on Electrical Performance of Electronic Packaging and Systems, EPEPS 2013, San Jose, US, October 27, 2013 - October 30, 2013. (2013)
  9. Hess, M. W.; Benner, P.: Reduced Basis Generation for Maxwell’s Equations by Rigorous Error Estimation. In: Proceedings of the 19th International Conference on the Computation of Electromagnetic Fields (COMPUMAG 2013), p. PD2-10. 19th International Conference on the Computation of Electromagnetic Fields (COMPUMAG 2013), Budapest, Hungary, June 30, 2013 - July 04, 2013. (2013)
  10. Saak, J.; Uddin, M. M.; Voigt, M.: Modellordnungsreduktion für strukturierte Index-3-Systeme. In: Tagungsband des GMA-Fachausschusses 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", pp. 180 - 190. GMA Fachausschuss 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", Salzburg, Österreich, September 18, 2013 - September 20, 2013. (2013)
  11. Voigt, M.: Computation of the Complex Dissipativity Radius. In: Tagungsband des GMA-Fachausschusses 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", pp. 10 - 19. GMA Fachausschuss 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", Salzburg, Österreich, September 18, 2013 - September 20, 2013. (2013)
  12. 2012
    Benner, P.; Hossain, M.-S.: Structure Preserving Iterative Solution of Periodic Projected Lyapunov Equations. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 14, 2012 - February 17, 2012. IFAC-PapersOnLine 45 (2), pp. 276 - 281 (2012)
  13. Benner, P.; Kürschner, P.; Saak, J.: Improved Second-Order Balanced Truncation for Symmetric Systems. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 14, 2012 - February 17, 2012. IFAC-PapersOnLine 45 (2), pp. 758 - 762 (2012)
  14. Benner, P.; Sima, V.; Voigt, M.: Robust and Efficient Algorithms for L-Norm Computation for Descriptor Systems. In: 7th IFAC Symposium on Robust Control Design, pp. 195 - 200. 7th IFAC Symposium on Robust Control Design - ROCOND´12, Aalborg, Dänemark, June 20, 2012 - June 22, 2012. (2012)
  15. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: High Performance Implementations of the BST Method on Hybrid CPU-GPU Platforms. In: 2012 IEEE 10th International Symposium on Parallel and Distributed Processing with Applications, ISPA 2012, pp. 662 - 668. 10th IEEE International Symposium on Parallel and Distributed Processing with Applications ISPA 2012, Madrid, Spain, July 10, 2012 - July 13, 2012. IEEE (2012)
  16. Benner, P.; Kressner, D.; Sima, V.: New SLICOT Routines Based on Structured Eigensolvers. In: 2012 IEEE International Conference on Control Applications (CCA 2012), pp. 640 - 645. IEEE International Conference on Control Applications 2012, Part of 2012 IEEE Multi-Conference on Systems and Control, Dubrovnik, Croatia, October 03, 2012 - October 05, 2012. (2012)
  17. Benner, P.; Voigt, M.: Numerical Computation of Structured Complex Stability Radii of Large-Scale Matrices and Pencils. In: 2012 IEEE 51st Annual Conference on Decision and Control, pp. 6560 - 6565. 51st IEEE Conference on Decision and Control, Maui, Hawaii, USA, December 10, 2012 - December 13, 2012. (2012)
  18. Benner, P.; Saak, J.; Uddin, M. M.: Second Order to Second Order Balancing for Index-1 Vibrational Systems. In: 7th International Conference on Electrical and Computer Engineering (ICECE), pp. 933 - 936. 7th International Conference on Electrical and Computer Engineering, Dhaka, Bangladesh, December 20, 2012 - December 22, 2012. (2012)
  19. Benner, P.; Kürschner, P.; Saak, J.: Avoiding Complex Arithmetic in the Low-Rank ADI Method Efficiently. 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. 639 - 640 (2012)
  20. Benner, P.; Hess, M. W.: The Reduced Basis Method for Time-Harmonic Maxwell´s 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. 661 - 662 (2012)
  21. Benner, P.; Kranz, B.; Saak, J.; Uddin, M. M.: Efficient Reduced Order State Space Model Computation for a Class of Second Order Index One Systems. 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. 699 - 700 (2012)
  22. Benner, P.; Voigt, M.: H-Norm Computation for Large and Sparse Descriptor Systems. 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. 797 - 800 (2012)
  23. 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)
  24. 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)
  25. 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)
  26. 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)
  27. 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)
  28. 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)
  29. 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-PapersOnLine 45 (2), pp. 752 - 757 (2012)
  30. 2011
    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)
  31. 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)
  32. 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)
  33. 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)
  34. 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)
  35. 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)
  36. 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)
  37. 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)
  38. 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)
  39. 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)
  40. 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)
  41. 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 (9)

  1. 2016
    Baran, B.; Heiland, J.: Adjoint-Based Optimal Boundary Control of a Stefan Problem System Fully Coupled with Navier-Stokes Equations. In: Proceedings in Applied Mathematics and Mechanics, Vol. 16, pp. 779 - 780. Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV), Braunschweig, March 07, 2016 - March 11, 2016. Wiley-VCH Verlag, Weinheim, Fed. Rep. of Germany (2016)
  2. 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)
  3. Hund, M.; Saak, J.: A Connection between Time Domain Model Order Reduction and Moment Matching. In: Proceedings in Applied Mathematics and Mechanics, Vol. 16, pp. 727 - 728. Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung , Braunschweig, March 07, 2016 - March 11, 2016. Wiley-VCH Verlag, Weinheim (2016)
  4. Köhler, M.; Lang, N.; Saak, J.: Solving Differential Matrix Equations Using Parareal. In: Proceedings in Applied Mathematics and Mechanics, Vol. 16, pp. 847 - 848. Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung, Braunschweig, March 07, 2016 - March 11, 2016. Wiley-VCH Verlag, Weinheim, Fed. Rep. of Germany (2016)
  5. Zuyev, A.; Benner, P.: Local Steering Problem for a Class of Control-Affine Systems with Application to Continuous Crystallization Processes. In: Proceedings in Applied Mathematics and Mechanics (PAMM), Vol. 16, pp. 831 - 832. Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung(DMV), Braunschweig, Germany, March 07, 2016 - March 11, 2016. (2016)
  6. 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)
  7. 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)
  8. 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)
  9. 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)
 
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