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

Book Chapter (54)

  1. 2014
    Benner, P.; Dufrechou, E.; Ezzatti, P.; Igounet, P.; Quintana-Ortí, E. S.; Remón, A.: Accelerating Band Linear Algebra Operations on GPUs with Application in Model Reduction. In: Computational Science and Its Applications – ICCSA 2014: 14th International Conference, Guimarães, Portugal, June 30 – July 3, 2014, Proceedings, Part VI, pp. 386 - 400 (Eds. Murgante, B.; Misra, S.; A. C. Rocha, A. M.; Torre, C.; Rocha, J. G. et al.). Springer, Cham (2014)
  2. Benner, P.; Saak, J.; Stoll, M.; Weichelt, H. K.: Efficient Solvers for Large-Scale Saddle Point Systems Arising in Feedback Stabilization of Multi-Field Flow Problems. In: System Modeling and Optimization: 26th IFIP TC 7 Conference, CSMO 2013, Klagenfurt, Austria, September 9-13, 2013, Revised Selected Papers, pp. 11 - 20 (Eds. Pötzsche, C.; Heuberger, C.; Kaltenbacher, B.; Rendl, F.). Springer, Berlin Heidelberg (2014)
  3. Benner, P.; Sachs, E.; Volkwein, S.: Model Order Reduction for PDE Constrained Optimization. In: Trends in PDE Constrained Optimization, pp. 303 - 326 (Eds. Leugering, G.; Benner, P.; Engell, S.; Griewank, A.; Harbrecht, H. et al.). Birkhäuser, Basel (2014)
  4. Benner, P.: Control Theory. In: Handbook of Linear Algebra, 2nd edition, Chapter 80 Ed. (Ed. Hogben, L.). Chapman and Hall/CRC, Boca Raton (2014)
  5. Bänsch, E.; Benner, P.; Saak, J.; Weichelt, H. K.: Optimal Control-Based Feedback Stabilization of Multi-Field Flow Problems. In: Trends in PDE Constrained Optimization, pp. 173 - 188 (Eds. Leugering, G.; Benner, P.; Engell, S.; Griewank, A.; Harbrecht, H. et al.). Birkhäuser, Basel (2014)
  6. Dufrechou, E.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Efficient symmetric band matrix-matrix multiplication on GPUs. In: High Performance Computing: Proceedings 1st High-Performance Computing Latin America Community, HPCLATAM-CLCAR 2014 and Latin American Joint Conference, CARLA 2014, pp. 1 - 12. Springer, Berlin (2014)
  7. Grundel, S.; Jansen, L.; Hornung, N.; Clees, T.; Tischendorf, C.; Benner, P.: Model Order Reduction of Differential Algebraic Equations Arising from the Simulation of Gas Transport Networks. In: Progress in Differential-Algebraic Equations, Deskriptor 2013, pp. 183 - 205 (Eds. Schöps, S.; Bartel, A.; Günther, M.; ter Maten, E. J. W.; Müller, P. C.). Springer, Berlin (2014)
  8. 2013
    Benner, P.; Hein, S.: MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations. In: System Modeling and Optimization, pp. 217 - 224 (Eds. Hömberg, D.; Tröltzsch, F.). Springer, Berlin, Heidelberg (2013)
  9. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Unleashing CPU-GPU Acceleration for Control Theory Applications. In: Euro-Par 2012: Parallel Processing Workshops, pp. 102 - 111 (Eds. Caragiannis, I.; Alexander, M.; Badia, R. M.; Cannataro, M.; Costan, A. et al.). Springer, Berlin Heidelberg (2013)
  10. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: On the Impact of Optimization on the Time-Power-Energy Balance of Dense Linear Algebra Factorizations. In: Algorithms and Architectures for Parallel Processing: 13th International Conference, ICA3PP 2013, Vietri sul Mare, Italy, December 18-20, 2013, Proceedings, Part II, pp. 3 - 10 (Eds. Aversa, R.; Kołodziej, J.; Zhang, J.; Amato, F.; Fortino, G.). Springer, Cham (2013)
  11. Feng, L.; Benner, P.; Korvink, J. G.: System-Level Modeling of MEMS by Means of Model Order Reduction (Mathematical Approximation) - Mathematical Background. In: System-level Modeling of MEMS, pp. 53 - 93 (Eds. Bechtold, T.; Schrag, G.; Feng, L.). Wiley-VCH, Weinheim (2013)
  12. Grundel, S.; Hornung, N.; Klaassen, B.; Benner, P.; Clees, T.: Computing Surrogates for Gas Network Simulation Using Model Order Reduction. In: Surrogate-Based Modeling and Optimization, pp. 189 - 212 (Eds. Koziel, S.; Leifsson, L.). Springer, New York (2013)
  13. Köhler, M.; Saak, J.: A shared memory parallel implementation of the IRKA algorithm for H2 model order reduction. In: Applied Parallel and Scientific Computing, Vol. 7782, pp. 541 - 544. Springer, Berlin (2013)
  14. 2012
    Benner, P.; Schneider, A.: Some Remarks on A Priori Error Estimation for ESVDMOR. In: Scientific Computing in Electrical Engineering SCEE 2010, pp. 15 - 23 (Eds. Bastiaan, M.; Poirier, J.-R.). Springer, Berlin (2012)
  15. Benner, P.; Schneider, A.: Model Reduction for Linear Descriptor Systems with Many Ports. In: Progress in Industrial Mathematics at ECMI 2010, pp. 137 - 143 (Eds. Günther, M.; Bartel, A.; Brunk, M.; Schöps, S.; Striebel, M.). Springer, Berlin (2012)
  16. Benner, P.; Breiten, T.: Krylov-Subspace Based Model Reduction of Nonlinear Circuit Models using Bilinear and Quadratic-Linear Approximations. In: Progress in Industrial Mathematics at ECMI 2010, pp. 153 - 159 (Eds. Günther, M.; Bartel, A.; Brunk, M.; Schöps, S.; Striebel, M.). Springer, Berlin (2012)
  17. Benner, P.; Ezzatti, P.; Kressner, D.; Quintana-Ortí, E. S.; Remón, A.: Accelerating Model Reduction of Large Linear Systems with Graphics Processors. In: Applied Parallel and Scientific Computing, pp. 88 - 97 (Ed. Jónasson, K.). Springer, Heidelberg (2012)
  18. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Accelerating BST Methods for Model Reduction with Graphics Processors. In: Parallel Processing and Applied Mathematics, pp. 549 - 558 (Eds. Wyrzykowski, R.; Dongarra, J.; Karczewski, K.; Waśniewski, J.). Springer, Heidelberg (2012)
  19. Bänsch, E.; Benner, P.: Stabilization of Incompressible Flow Problems by Riccati-Based Feedback. In: Constrained Optimization and Optimal Control for Partial Differential Equations, pp. 5 - 20 (Eds. Leugering, G.; Engell, S.; Griewank, A.; Hinze, M.; Rannacher, R. et al.). Birkhäuser, Basel (2012)
  20. 2011
    Benner, P.; Schneider, A.: On Stability, Passivity and Reciprocity Preservation of ESVDMOR. In: Model Reduction for Circuit Simulation, pp. 277 - 288 (Eds. Benner, P.; Hinze, M.; Maten, E. J. W. t.). Springer, Dordrecht (2011)
  21. Benner, P.: Partial Stabilization of Descriptor Systems Using Spectral Projectors. In: Numerical Linear Algebra in Signals, Systems and Control, pp. 55 - 76 (Eds. Van Dooren, P.; Bhattacharyya, S.P.; Chan, R.H.; Olshevsky, V.; Routray, A.). Springer, Dordrecht et al. (2011)
  22. Benner, P.; Tomljanović, Z.; Truhar, N.: Damping Optimization for Linear Vibrating Systems Using Dimension Reduction. In: Vibration Problems ICOVP 2011, pp. 297 - 305 (Eds. Náprstek, J.; Horáček, J.; Okrouhlík, M.; Marvalová, B.; Verhulst, F. et al.). Springer, Dordrecht (2011)

Conference Paper (97)

  1. 2017
    Benner, P.; Saak, J.; Uddin, M. M.: Reduced-Order Modeling of Index-1 Vibrational Systems Using Interpolatory Projections. In: Proceedings of the 19th International Conference on Computer and Information Technology (ICCIT), pp. 134 - 138. 19th International Conference on Computer and Information Technology , Dhaka, Bangladesh, December 18, 2016 - December 20, 2016. (2017)
  2. Benner, P.; Dufrechou, E.; Ezzatti, P.; Remón, A.: Studying Mixed Precision Techniques for the Solution of Algebraic Riccati Equations. In: Book of Abstracts of 2nd Workshop on Power-Aware Computing, Ringberg Castle, pp. 1 - 6. 2nd Workshop on Power-Aware Computing, Ringberg Castle, Ringberg Castle, Germany, July 05, 2017 - July 08, 2017. (2017)
  3. Benner, P.; Köhler, M.; Penke, C.: GPU-Accelerated Implementation of the Storage-Efficient QR Decomposition. In: Book of Abstracts of 2nd Workshop on Power-Aware Computing, Ringberg Castle, pp. 1 - 6. 2nd Workshop on Power-Aware Computing, Ringberg Castle, Ringberg Castle, Germany, July 05, 2017 - July 08, 2017. (2017)
  4. Benner, P.; Heiland, J.: Convergence of Approximations to Riccati-based Boundary-feedback Stabilization of Laminar Flows. IFAC World Congress 2017, Toulouse, France, July 09, 2017 - July 14, 2017. IFAC-PapersOnLine 50 (1), pp. 12296 - 12300 (2017)
  5. Benner, P.; Heiland, J.: Nonlinear Feedback Stabilization of Incompressible Flows via Updated Riccati-based Gains. In: 2017 IEEE 56th Annual Conference on Decision and Control (CDC), pp. 1163 - 1168. 2017 IEEE 56th Annual Conference on Decision and Control (CDC), Melbourne, Australia, December 12, 2017 - December 15, 2017. (2017)
  6. Du, X.; Benner, P.: Parameterized Frequency-dependent Balanced Truncation for Model Order Reduction of Linear Systems. In: Proceedings of 2017 29th Chinese Control And Decision Conference (CCDC), pp. 901 - 908. 2017 29th Chinese Control And Decision Conference, TBD Chongqing, China, May 28, 2017 - May 30, 2017. IEEE (2017)
  7. Grushkovskaya, V.; Dürr, H.-B.; Ebenbauer, C.; Zuyev, A.: Extremum Seeking for Time-Varying Functions using Lie Bracket Approximations. IFAC 2017 World Congress, Toulouse, France, July 09, 2017 - July 14, 2017. IFAC-PapersOnLine 50 (1), pp. 5522 - 5528 (2017)
  8. Himpe, C.; Leibner, T.; Rave, S.: Comprehensive Memory-Bound Simulations on Single Board Computers. In: Book of Abstracts of 2nd Workshop on Power-Aware Computing, Ringberg Castle, pp. 1 - 6. 2nd Workshop on Power-Aware Computing, Ringberg Castle , Ringberg Castle, Germany, July 05, 2017 - July 08, 2017. (2017)
  9. Köhler, M.; Saak, J.: Frequency Scaling and Energy Efficiency regarding the Gauss-Jordan Elimination Scheme on OpenPower 8. In: Book of Abstracts of 2nd Workshop on Power-Aware Computing, Ringberg Castle, pp. 1 - 6. 2nd Workshop on Power-Aware Computing, Ringberg Castle, Ringberg Castle, Germany, July 05, 2017 - July 08, 2017. (2017)
  10. Zuyev, A.; Grushkovskaya, V.: Obstacle Avoidance Problem for Driftless Nonlinear Systems with Oscillating Controls. IFAC 2017 World Congress, Toulouse, France, July 09, 2017 - July 14, 2017. IFAC-PapersOnLine 50 (1), pp. 10476 - 10481 (2017)
  11. 2016
    Anzt, H.; Dongarra, J.; Kreutzer, M.; Wellein, G.; Köhler, M.: Efficiency of General Krylov Methods on GPUs -- An Experimental Study. In: Proceedings of 2016 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW), pp. 683 - 691. 2016 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW) , Chicago, USA, May 23, 2016 - May 27, 2016. (2016)
  12. Banagaaya, N.; Feng, L.; Schoenmaker, W.; Meuris, P.; Wieers, A.; Gillon, R.; Benner, P.: Model Order Reduction for Nanoelectronics Coupled Problems with Many Inputs. In: Proceedings of the 2016 Design, Automation & Test in Europe Conference & Exhibition (DATE), pp. 313 - 318. 2016 Design, Automation & Test in Europe Conference & Exhibition (DATE 2016), Dresden, Germany, March 14, 2016 - March 18, 2016. (2016)
  13. Baran, B.; Heiland, J.: Adjoint-Based Optimal Boundary Control of a Stefan Problem System Fully Coupled with Navier-Stokes Equations. 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. Proceedings in Applied Mathematics and Mechanics 16 (1), pp. 779 - 780 (2016)
  14. Benner, P.; Heiland, J.: Robust Stabilization of Laminar Flows in Varying Flow Regimes. 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, Bertinoro, Italy, June 13, 2016 - June 15, 2016. IFAC-PapersOnLine 49 (8), pp. 31 - 36 (2016)
  15. Benner, P.; Denißen, J.: Numerical Solution to Low Rank Perturbed Lyapunov Equations by the Sign Function Method. Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV), Braunschweig 2016, Braunschweig, Germany, March 07, 2016 - March 11, 2016. Proceedings in Applied Mathematics and Mechanics 16 (1), pp. 723 - 724 (2016)
  16. Benner, P.; Grundel, S.; Mlinarić, P.: Stability Preserving Model Reduction for Linearly Coupled Linear Time-Invariant Systems. 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. Proceedings in Applied Mathematics and Mechanics 16 (1), pp. 817 - 818 (2016)
  17. Bremer, J.; Goyal, P. K.; Feng, L.; Benner, P.; Sundmacher, K.: Nonlinear Model Order Reduction for Catalytic Tubular Reactors. In: 26th European Symposium on Computer Aided Process Engineering, pp. 2373 - 2378. 26th European Symposium on Computer Aided Process Engineering - ESCAPE 26, Portorož, Slovenia, June 12, 2016 - June 15, 2016. (2016)
  18. Goyal, P. K.; Benner, P.: An Iterative Model Order Reduction Scheme for a Special Class of Bilinear Descriptor Systems Appearing in Constraint Circuit Simulation. In: Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering: Volume II, pp. 4196 - 4212 (Eds. Papadrakakis, M.; Papadopoulos, V.; Stefanou, G.; Plevris, V.). VII European Congress on Computational Methods in Applied Sciences and Engineering, Crete Island, Greece, June 05, 2016 - June 10, 2016. National Technical University of Athens (NTUA), Athens, Greece (2016)
  19. Hund, M.; Saak, J.: A Connection between Time Domain Model Order Reduction and Moment Matching. 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. Proceedings in Applied Mathematics and Mechanics 16 (1 ), pp. 727 - 728 (2016)
  20. Kweyu, C. M.; Hess, M. W.; Feng, L.; Stein, M.; Benner, P.: Reduced Basis Method for Poisson-Boltzmann Equation. In: Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering: Volume II, pp. 4187 - 4195 (Eds. Papadrakakis, M.; Papadopoulos, V.; Stefanou, G.; Plevris, V.). VII European Congress on Computational Methods in Applied Sciences and Engineering, Crete Island, Greece, June 05, 2016 - June 10, 2016. National Technical University of Athens (NTUA), Athens, Greece (2016)
  21. Köhler, M.; Lang, N.; Saak, J.: Solving Differential Matrix Equations Using Parareal. 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. Proceedings in Applied Mathematics and Mechanics 16 (1), pp. 847 - 848 (2016)
  22. Mlinarić, P.; Grundel, S.; Benner, P.: Clustering-Based Model Order Reduction for Multi-Agent Systems with General Linear Time-Invariant Agents. In: Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems, pp. 230 - 235. 22nd International Symposium on Mathematical Theory of Networks and Systems, Minneapolis, USA, July 12, 2016 - July 15, 2016. (2016)
  23. Sima, V.; Benner, P.: Improved Balancing for General and Structured Eigenvalue Problems. In: Proceedings of the 20th International Conference on System Theory, Control and Computing, pp. 381 - 386. 20th International Conference on System Theory, Control and Computing - ICSTCC 2016 , Sinaia, Romania, October 13, 2016 - October 15, 2016. (2016)
  24. Zuyev, A.; Grushkovskaya, V.; Benner, P.: Time-Varying Stabilization of a Class of Driftless Systems Satisfying Second-Order Controllability Conditions. In: Proceedings of the 15th European Control Conference (ECC 2016), pp. 575 - 580. 15th European Control Conference, Aalborg, Denmark, June 29, 2016 - July 01, 2016. IEEE (2016)
  25. Zuyev, A.; Benner, P.: Local Steering Problem for a Class of Control-Affine Systems with Application to Continuous Crystallization Processes. 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. Proceedings in Applied Mathematics and Mechanics 16 (1), pp. 831 - 832 (2016)
  26. 2015
    Ahmad, M. I.; Benner, P.; Feng, L.: A New Interpolatory Model Reduction Approach for Quadratic Bilinear Descriptor Systems. 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Lecce, Italy, March 23, 2015 - March 27, 2015. Proceedings in Applied Mathematics and Mechanics 15 (1), pp. 589 - 590 (2015)
  27. Benner, P.; Denißen, J.: Ehrlich-Aberth Iteration For Vibrational Systems. In: Proceedings of ICoEV 2015, pp. 1540 - 1548 (Eds. Boltezar, M.; Slavic, J.; Wiercigroch, M.). International Conference on Engineering Vibration 2015, Ljubljana, Slovenia, September 07, 2015 - July 10, 2015. (2015)
  28. Eaton, J.; Grundel, S.; Gürbüzbalaban, M.; Overton, M. L.: Polynomial Stabilization with Bounds on the Controller Coefficients. 8th IFAC Symposium on Robust Control Design - ROCOND 2015, Bratislava, Slovakia, July 08, 2015 - July 11, 2015. IFAC-PapersOnLine 48 (14), pp. 382 - 387 (2015)
 
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