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 (52)

  1. 2012
    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)
  2. 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)
  3. 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)
  4. 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)
  5. 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)
  6. 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)
  7. 2011
    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)
  8. 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)
  9. 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)

Conference Paper (82)

  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. 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)
  3. 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)
  4. 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, Dresden, Germany, March 14, 2016 - March 18, 2016. (2016)
  5. 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)
  6. 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)
  7. 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)
  8. 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)
  9. 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)
  10. 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)
  11. 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)
  12. 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)
  13. 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)
  14. 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)
  15. Goyal, P. K.; Ahmad, M. I.; Benner, P.: Model Reduction of Quadratic-Bilinear Descriptor Systems via Carleman Bilinearization. In: Proceedings of 2015 European Control Conference (ECC 2015), pp. 1177 - 1182. 2015 European Control Conference (ECC 2015), Linz, Austria, July 15, 2015 - July 17, 2015. (2015)
  16. Grundel, S.; Jansen, L.: Efficient Simulation of Transient Gas Networks Using IMEX Integration Schemes and MOR Methods. In: 54th IEEE Conference on Decision and Control (CDC), pp. 4579 - 4584. 54th IEEE Conference on Decision and Control , Osaka, Japan, December 15, 2015 - December 18, 2015. (2015)
  17. Mlinarić, P.; Grundel, S.; Benner, P.: Efficient Model Order Reduction for Multi-Agent Systems Using QR Decomposition-Based Clustering. In: 54th IEEE Conference on Decision and Control (CDC), pp. 4794 - 4799. 54th IEEE Conference on Decision and Control, Osaka, Japan, December 15, 2015 - December 18, 2015. (2015)
  18. Silva, J. P.; Dufrechou, E.; Ezzatti, P.; Quintana-Ortí, E. S.; Benner, P.; Remón, A.: Solving Dense Linear Systems with Hybrid ARM+GPU Platforms. In: 41st Latin American Computing Conference (CLEI), pp. 213 - 220. 41st Latin American Computing Conference, Arequipa, Peru, October 19, 2015 - October 23, 2015. (2015)
  19. Sima, V.; Benner, P.: Solving SLICOT Benchmarks for Continuous-time Algebraic Riccati Equations by Hamiltonian Solvers. In: Proceedings of the 19th International Conference on System Theory (ICSTCC), pp. 1 - 6. 2015 19th International Conference on System Theory, Control and Computing ICSTCC and 2015 Joint Conference SINTES 19, SACCS 15, SIMSIS 19, Cheile Gradistei, Romania, October 14, 2015 - October 16, 2015. IEEE, Piscataway, NJ (2015)
  20. Sima, V.; Benner, P.: Pitfalls when Solving Eigenproblems with Applications in Control Engineering. In: Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics (ICINCO-2015), pp. 171 - 178 (Eds. Filipe, J.; Madani, K.; Gusikhin, O.; Sasiadek, J.). 12th International Conference on Informatics in Control, Automation and Robotics, Colmar, France, July 21, 2015 - July 23, 2015. SciTePress - Science and Technology Publications, Portugal (2015)
  21. Yue, Y.; Feng, L.; Meuris, P.; Schoenmaker, W.; Benner, P.: Application of Krylov-type Parametric Model Order Reduction in Efficient Uncertainty Quantification of Electro-thermal Circuit Models. In: Proceedings of the Progress In Electromagnetics Research Symposium (PIERS 2015), pp. 379 - 384. 36th Progress In Electromagnetics Research Symposium, Prague, Czech Republic, July 06, 2015 - July 09, 2015. (2015)
  22. Zuyev, A.: Reachable Sets of Quasilinear Hyperbolic Control Systems with Applications to Separation Processes. 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. 647 - 648 (2015)
  23. 2014
    Ahmad, M. I.; Benner, P.: Interpolatory Model Reduction Techniques for Linear Second-Order Descriptor Systems. In: 2014 - European Control Conference, pp. 1075 - 1079. European Control Conference (ECC 2014) , Strasbourg, June 24, 2014 - June 27, 2014. (2014)
  24. Baran, B.; Köhler, M.; Prasad, N.; Saak, J.: Numerical Solution of Large Scale Sparse Matrix Equations in Python. 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Erlangen, Germany, March 10, 2014 - March 14, 2014. Proceedings in Applied Mathematics and Mechanics 14 (1), pp. 959 - 960 (2014)
  25. Baur, U.; Beattie, C.; Benner, P.: Mapping Parameters Across System Boundaries: Parameterized Model Reduction with Low Rank Variability in Dynamics. 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Erlangen 2014, Erlangen, Germany, March 10, 2014 - March 14, 2014. Proceedings in Applied Mathematics and Mechanics 14 (1), pp. 19 - 22 (2014)
  26. Bechtold, T.; Schrag, G.; Feng, L.: Enabling technologies for system-level simulation of MEMS. In: Electronics System-Integration Technology Conference (ESTC), 2014, pp. 1 - 6. Electronics System-Integration Technology Conference (ESTC 2014), Helsinki, Finland, September 16, 2014 - September 18, 2014. (2014)
  27. Benner, P.; Remón, A.; Dufrechou, E.; Ezzatti, P.; Quintana-Ortí, E. S.: Accelerating the General Band Matrix Multiplication Using Graphics Processors. In: Computing Conference (CLEI), pp. 1 - 7. 2014 XL Latin American Computing Conference (CLEI) , Montevideo, Uruguay, September 15, 2014 - September 19, 2014. (2014)
  28. Benner, P.; Denißen, J.: Spectral Bounds on the Solution of Linear Time-Periodic Systems. 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Erlangen, Germany, March 10, 2014 - March 14, 2014. Proceedings in Applied Mathematics and Mechanics 14 (1), pp. 863 - 864 (2014)
  29. Benner, P.; Köhler, M.; Saak, J.: A Cache-Aware Implementation of the Spectral Divide-and-Conquer Approach for the Non-Symmetric Generalized Eigenvalue Problem. 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 2014, Erlangen, Germany, March 10, 2014 - March 14, 2014. Proceedings in Applied Mathematics and Mechanics 14 (1), pp. 819 - 820 (2014)
  30. Damm, T.; Benner, P.: Balanced Truncation for Stochastic Linear Systems with Guaranteed Error Bound. In: Proceedings of MTNS-2014, pp. 1492 - 1497. 21st International Symposium on Mathematical Theory of Networks and Systems, Groningen, Netherlands, July 07, 2014 - July 11, 2014. (2014)
  31. Denißen, J.; Koskela, A.; Mena, H.; Tomljanović, Z.: Damping optimization in vibrational systems based on amplitude. In: Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, pp. 1222 - 1227. 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014), Groningen, Netherlands, July 07, 2014 - July 11, 2014. (2014)
  32. Dufrechou, E.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Improving the Solution of Band Linear Systems on Hybrid CPU+GPU Platforms. In: Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2014, pp. 485 - 491. 14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2014, Cadiz, Spain, July 03, 2014 - July 07, 2014. (2014)
  33. Hossain, M.-S.; Benner, P.: Generalized Inverses of Periodic Matrix Pairs and Model Reduction for Periodic Control Systems. In: Proceedings of the 1st International Conference on Electrical Engineering and Information & Communication Technology (ICEEICT), pp. 1 - 6. 1st International Conference on Electrical Engineering and Information & Communication Technology (ICEEICT), Dhaka, Bangladesh, April 10, 2014 - April 12, 2014. (2014)
  34. Reis, T.; Voigt, M.: The Dissipation Inequality for Differential-Algebraic Systems. 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Erlangen, Germany, March 10, 2014 - March 14, 2014. Proceedings in Applied Mathematics and Mechanics 14 (1), pp. 11 - 14 (2014)
  35. Sima, V.; Benner, P.: Numerical Investigation of Newton’s Method for Solving Continuous-time Algebraic Riccati Equations. In: Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics (ICINCO-2014), pp. 404 - 409. 11th International Conference on Informatics in Control, Automation and Robotics (ICINCO-2014), Vienna, Austria, September 01, 2014 - September 03, 2014. (2014)
  36. Yue, Y.; Feng, L.; Seidel-Morgenstern, A.; Benner, P.: Efficient Model Reduction of SMB Chromatography by Krylov-subspace Method with Application to Uncertainty Quantification. In: 24th European Symposium on Computer Aided Process Engineering, pp. 925 - 930. 24th European Symposium on Computer Aided Process Engineering - ESCAPE, Budapest, Ungarn, June 15, 2014 - June 18, 2014. (2014)
  37. Yue, Y.; Li, S.; Feng, L.; Seidel-Morgenstern, A.; Benner, P.: Using Model Order Reduction to Accelerate Optimization of Multi-Stage Linear Dynamical Systems. In: Engineering Optimization IV - Proceedings of the 4th International Conference on Engineering Optimization, ENGOPT 2014, pp. 453 - 458. 4th International Conference on Engineering Optimization, Lisbon, Portugal, September 08, 2014 - September 11, 2014. (2014)
  38. 2013
    Bajcinca, N.; Voigt, M.: Spectral Conditions for Symmetric Positive Real and Negative Imaginary Systems. In: 2013 - European Control Conference (ECC 2013), pp. 809 - 814. European Control Conference 2013, Zuerich, Switzerland, July 17, 2013 - July 19, 2013. (2013)
  39. Bechtold, T.; Schrag, G.; Feng, L.: Enabling technologies for system-level simulation of MEMS. In: Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE), pp. 1 - 6. EuroSimE 2013 - 14th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems, Wroclaw, Poland, April 14, 2013 - April 17, 2013. (2013)
  40. Benner, P.; Stoll, M.: Optimal Control for Allen-Cahn Equations Enhanced by Model Predictive Control. In: Proceedings of the 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations - CPDE 2013, Vol. 1, pp. 139 - 143. 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations - CPDE 2013, Paris, France, September 25, 2013 - September 27, 2013. (2013)
  41. Benner, P.: Balancing-Related Model Reduction for Parabolic Control Systems. In: Proceedings of the 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations - CPDE 2013, Vol. 1, pp. 257 - 262. 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations - CPDE 2013, Paris, France, September 25, 2013 - September 27, 2013. (2013)
 
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