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

Journal Article (21)

  1. 2014
    Akman, T.; Yücel, H.; Karasözen, B.: A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations. Computational Optimization and Applications 57 (3), pp. 703 - 729 (2014)
  2. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: A Factored Variant of the Newton Iteration for the Solution of Algebraic Riccati Equations via the Matrix Sign Function. Numerical Algorithms 66 (2), pp. 363 - 377 (2014)
  3. Benner, P.; Voigt, M.: A Structured Pseudospectral Method for H-Norm Computation of Large-Scale Descriptor Systems. Mathematics of Control, Signals, and Systems 26 (2), pp. 303 - 338 (2014)
  4. Benner, P.; Hossain, M.-S.; Stykel, T.: Low-Rank Iterative Methods of Periodic Projected Lyapunov Equations and their Application in Model Reduction of Periodic Descriptor Systems. Numerical Algorithms 67 (3), pp. 669 - 690 (2014)
  5. Benner, P.; Breiten, T.: On Optimality of Approximate Low-Rank Solutions of Large-Scale Matrix Equations. Systems & Control Letters 67, pp. 55 - 64 (2014)
  6. Benner, P.; Kürschner, P.: Computing Real Low-Rank Solutions of Sylvester Equations by the Factored ADI Method. Computers and Mathematics with Applications 67 (9), pp. 1656 - 1672 (2014)
  7. Benner, P.; Stykel, T.: Numerical Solution of Projected Algebraic Riccati Equations. SIAM Journal on Numerical Analysis 52 (2), pp. 581 - 600 (2014)
  8. Benner, P.; Breiten, T.: Rational Interpolation Methods for Symmetric Sylvester Equations. Electronic Transactions on Numerical Analysis (ETNA) 42, pp. 147 - 164 (2014)
  9. Benner, P.; Ezzati, P.; Quintana-Ortí, E. S.; Remón, A.: Trading Off Performance for Energy in Linear Algebra Operations with Applications in Control Theory. CLEI Electronic Journal 17 (1), p. Paper 3 (2014)
  10. Benner, P.; Saak, J.; Schieweck, F.; Skrzypacz, P.; Weichelt, H. K.: A Non-Conforming Composite Quadrilateral Finite Element Pair for Feedback Stabilization of the Stokes Equations. Journal of Numerical Mathematics 22 (3), pp. 191 - 220 (2014)
  11. Benner, P.; Kürschner, P.; Saak, J.: Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations. Electronic Transactions on Numerical Analysis (ETNA) 43, pp. 142 - 162 (2014)
  12. Benner, P.; El Khoury, G.; Sadkane, M.: On the Squared Smith Method for Large-Scale Stein Equations. Numerical Linear Algebra with Applications 21 (5), pp. 645 - 665 (2014)
  13. Benner, P.; Börm, S.; Mach, T.; Reimer, K.: Computing the Eigenvalues of Symmetric H2-Matrices by Slicing the Spectrum. Computing and Visualization in Science 16 (6), pp. 271 - 282 (2014)
  14. Bentley, J.; Li, S.; Kawajiri, Y.: Experimental Validation of Optimized Model-Based Startup Acceleration Strategies for Simulated Moving Bed Chromatography. Industrial and Engineering Chemistry Research 53 (30), pp. 12063 - 12076 (2014)
  15. Bosch, J.; Stoll, M.; Benner, P.: Fast solution of Cahn-Hilliard Variational Inequalities using Implicit Time Discretization and Finite Elements. Journal of Computational Physics 262, pp. 38 - 57 (2014)
  16. Grundel, S.; Overton, M. L.: Variational Analysis of the Spectral Abscissa at a Matrix with a Nongeneric Multiple Eigenvalue. Set-Valued and Variational Analysis 22 (1), pp. 19 - 43 (2014)
  17. Hess, M. W.; Benner, P.: A Reduced Basis Method for Microwave Semiconductor Devices with Geometric Variations. COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 33 (4), pp. 1071 - 1081 (2014)
  18. Lang, N.; Saak, J.; Benner, P.: Model Order Reduction for Systems with Moving Loads. at - Automatisierungstechnik 62 (7), pp. 512 - 522 (2014)
  19. Li, S.; Feng, L.; Benner, P.; Seidel-Morgenstern, A.: Using Surrogate Models for Efficient Optimization of Simulated Moving Bed Chromatography. Computers and Chemical Engineering 67, pp. 121 - 132 (2014)
  20. Seymen, Z. K.; Yücel, H.; Karasözen, B.: Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization. Journal of Computational and Applied Mathematics 261, pp. 146 - 157 (2014)
  21. Yücel, H.; Karasözen, B.: Adaptive Symmetric Interior Penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints. Optimization 63 (1), pp. 145 - 166 (2014)

Book (3)

  1. Benner, P.; Mena, H.; Schneider, R.: Modelo para las aspersiones con glifosato: frontera Ecuador-Colombia. Shaker Verlag, Aachen (2014), 208 pp.
  2. Benner, P.; Findeisen, R.; Flockerzi, D.; Reichl, U.; Sundmacher, K. (Eds.): Large-Scale Networks in Engineering and Life Sciences. Springer International Publishing, Switzerland (2014), 388 pp.
  3. Leugering, G.; Benner, P.; Engell, S.; Griewank, A.; Harbrecht, H.; Hinze, M.; Rannacher, R.; Ulbrich, S. (Eds.): Trends in PDE Constrained Optimization. Birkhäuser, Basel (2014), 501 pp.

Book Chapter (10)

  1. Benner, P.; Feng, L.: A Robust Algorithm for Parametric Model Order Reduction Based on Implicit Moment Matching. In: Reduced Order Methods for Modeling and Computational Reduction, pp. 159 - 185 (Eds. Quarteroni, A.; Rozza, G.). Springer International Publishing, Cham (2014)
  2. Benner, P.; Köhler, M.; Saak, J.: Fast Approximate Solution of the Non-Symmetric Generalized Eigenvalue Problem on Multicore Architectures. In: Parallel Computing Accelerating Computational Science and Engineering (CSE), pp. 143 - 152. IOS Press, Amsterdam (2014)
  3. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Exploiting Data- and Task-Parallelism in the Solution of Riccati Equations on Multicore Servers and GPUs. In: Parallel Computing Accelerating Computational Science and Engineering (CSE), pp. 367 - 374. IOS Press, Amsterdam (2014)
  4. 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)
  5. 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)
  6. 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)
  7. Benner, P.: Control Theory. In: Handbook of Linear Algebra, 2nd edition, Chapter 80 Ed. (Ed. Hogben, L.). Chapman and Hall/CRC, Boca Raton (2014)
  8. 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)
  9. 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)
  10. 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)

Conference Paper (15)

  1. 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)
  2. 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)
  3. 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)
  4. 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)
  5. 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)
  6. 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)
  7. 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)
  8. 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)
  9. 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)
  10. 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)
  11. 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)
  12. 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)
  13. 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)
  14. 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)
  15. 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)

Report (2)

  1. Benner, P.; Mena, H.; Schneider, R.: Drugs, Herbicides, and Numerical Simulation (Snapshots of modern mathematics from Oberwolfach, 10). (2014), 9 pp.
 
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