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 (27)

  1. 2016
    Ahmad, M. I.; Benner, P.; Jaimoukha, I. M.: Krylov Subspace Methods for Model Reduction of Quadratic-Bilinear Systems. IET Control Theory & Applications 10 (16), pp. 2010 - 2018 (2016)
  2. Anzt, H.; Chow, E.; Saak, J.; Dongarra, J.: Updating Incomplete Factorization Preconditioners for Model Order Reduction. Numerical Algorithms 73 (3), pp. 611 - 630 (2016)
  3. Benner, P.; Goyal, P. K.: Multipoint Interpolation of Volterra Series and H2-Model Reduction for a Family of Bilinear Descriptor Systems. Systems & Control Letters 97, pp. 1 - 11 (2016)
  4. Benner, P.; Damm, T.; Redmann, M.; Rodriguez Cruz, Y. R.: Positive Operators and Stable Truncation. Linear Algebra and its Applications 498, pp. 74 - 87 (2016)
  5. Benner, P.; Kürschner, P.; Tomljanović, Z.; Truhar, N.: Semi-Active Damping Optimization of Vibrational Systems using the Parametric Dominant Pole Algorithm. Zeitschrift für Angewandte Mathematik und Mechanik 96 (5), pp. 604 - 619 (2016)
  6. Benner, P.; Mena, H.; Schneider, R.: Modeling Glyphosate Aerial Spray Drift at the Ecuador-Colombia Border. Applied Mathematical Modelling 40 (1), pp. 373 - 387 (2016)
  7. Benner, P.; Kürschner, P.; Saak, J.: Low-Rank Newton-ADI Methods for Large Nonsymmetric Algebraic Riccati Equations. Journal of the Franklin Institute 353 (5), pp. 1147 - 1167 (2016)
  8. Benner, P.; Sima, V.; Voigt, M.: Algorithm 961 - FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems. ACM Transactions on Mathematical Software 42 (3), 24 (2016)
  9. Benner, P.; Bujanović, Z.: On the Solution of Large-Scale Algebraic Riccati Equations by Using Low-Dimensional Invariant Subspaces. Linear Algebra and Its Applications 488, pp. 430 - 459 (2016)
  10. Benner, P.; Saak, J.; Uddin, M. M.: Balancing Based Model Reduction for Structured Index-2 Unstable Descriptor Systems with Application to Flow Control. Numerical Algebra, Control and Optimization 6 (1), pp. 1 - 20 (2016)
  11. Benner, P.; Khoromskaia, V.; Khoromskij, B. N.: A Reduced Basis Approach for Calculation of the Bethe-Salpeter Excitation Energies by using Low-Rank Tensor Factorisations. Molecular Physics 114 (7-8), pp. 1148 - 1161 (2016)
  12. Benner, P.; Kürschner, P.; Saak, J.: Frequency-Limited Balanced Truncation with Low-Rank Approximations. SIAM Journal on Scientific Computing 38 (1), pp. A471 - A499 (2016)
  13. Benner, P.; Onwunta, A.; Stoll, M.: Block-diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs. SIAM Journal on Matrix Analysis and Applications 37 (2), pp. 491 - 518 (2016)
  14. Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Low-Rank Solvers for Unsteady Stokes-Brinkman Optimal Control Problem with Random Data. Computer Methods in Applied Mechanics and Engineering 304, pp. 26 - 54 (2016)
  15. Benner, P.; Heinkenschloss, M.; Saak, J.; Weichelt, H. K.: An Inexact Low-Rank Newton-ADI Method for Large-Scale Algebraic Riccati Equations. Applied Numerical Mathematics 108, pp. 125 - 142 (2016)
  16. Benner, P.; Saak, J.; Uddin, M. M.: Structure Preserving Model Order Reduction of Large Sparse Second-Order Index-1 Systems and Application to a Mechatronics Model. Mathematical and Computer Modelling of Dynamical Systems 22 (6), pp. 509 - 523 (2016)
  17. Fehr, J.; Heiland, J.; Himpe, C.; Saak, J.: Best Practices for Replicability, Reproducibility and Reusability of Computer-based Experiments exemplified by Model Reduction Software. AIMS Mathematics 1 (3), pp. 261 - 281 (2016)
  18. Feng, L.; Yue, Y.; Banagaaya, N.; Meuris, P.; Schoenmaker, W.; Benner, P.: Parametric Modeling and Model Order Reduction for (Electro-)Thermal Analysis of Nanoelectronic Structures. Journal of Mathematics in Industry 6 (1), 10 (2016)
  19. Heiland, J.: A Differential-Algebraic Riccati Equation for Applications in Flow Control. SIAM Journal on Control and Optimization 54 (2), pp. 718 - 739 (2016)
  20. Köhler, M.; Saak, J.: On GPU Acceleration of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations. Parallel Computing 57, pp. 212 - 221 (2016)
  21. Köhler, M.; Penke, C.; Saak, J.; Ezzatti, P.: Energy-Aware Solution of Linear Systems with Many Right Hand Sides. Computer Science - Research and Development 31 (4), pp. 215 - 235 (2016)
  22. Köhler, M.; Saak, J.: On BLAS Level-3 Implementations of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations. ACM Transactions on Mathematical Software 43 (1), 3 (2016)
  23. Lang, N.; Saak, J.; Stykel, T.: Balanced Truncation Model Reduction for Linear Time-Varying Systems. Mathematical and Computer Modelling of Dynamical Systems 22 (4), pp. 267 - 281 (2016)
  24. Naumann, A.; Lang, N.; Partzsch, M.; Beitelschmidt, M.; Benner, P.; Voigt, A.; Wensch, J.: Computation of Thermo-Elastic Deformations on Machine Tools - A study of Numerical Methods. Production Engineering 10 (3), pp. 253 - 263 (2016)
  25. Silva, J. P.; Dufrechou, E.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.; Benner, P.: Balancing Energy and Performance in Dense Linear System Solvers for Hybrid ARM+GPU. CLEI Electronic Journal 19 (1), Paper 2 (2016)
  26. Zuyev, A.: Exponential Stabilization of Nonholonomic Systems by Means of Oscillating Controls. SIAM Journal on Control and Optimization 54 (3), pp. 1678 - 1696 (2016)
  27. ter Maten, E. J. W.; Putek, P.; Günther, M.; Pulch, R.; Tischendorf, C.; Strohm, C.; Schoenmaker, W.; Meuris, P.; de Smedt, B.; Benner, P. et al.; Feng, L.; Banagaaya, N.; Yue, Y.; Janssen, R.; Dohmen, J. J.; Tasić, B.; Deleu, F.; Gillon, R.; Wieers, A.; Brachtendorf, H.-G.; Bittner, K.; Kratochvíl, T.; Petřzela, J.; Sotner, R.; Göthans, T.; Dřínovský, J.; Schöps, S.; Duque Guerra, D. J.; Casper, T.; De Gersem, H.; Römer, U.; Reynier, P.; Barroul, P.; Masliah, D.; Rousseau, B.: Nanoelectronic COupled Problems Solutions - nanoCOPS: Modelling, Multirate, Model Order Reduction, Uncertainty Quantification, Fast Fault Simulation. Journal of Mathematics in Industry 7 (1), 2 (2016)

Book (1)

  1. Banagaaya, N.; Ali, G.; Schilders, W. H. A.: Index-aware Model Order Reduction Methods. Atlantis Press, Paris (2016), 86 pp.

Book Chapter (9)

  1. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Revisiting the Gauss-Huard Algorithm for the Solution of Linear Systems on Graphics Accelerators. In: Parallel Processing and Applied Mathematics, pp. 505 - 514 (Eds. Wyrzykowski, R.; Deelman, E.; Dongarra, J.; Karczewski, K.; Kitowski, J. et al.). Springer, Cham (2016)
  2. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: A Parallel Multi-Threaded Solver for Symmetric Positive Definite Bordered-Band Linear Systems. In: Parallel Processing and Applied Mathematics, pp. 96 - 105 (Eds. Wyrzykowski, R.; Deelman, E.; Dongarra, J.; Karczewski, K.; Kitowski, J. et al.) (2016)
  3. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Exploring the Offload Execution Model in the Intel Xeon Phi via Matrix Inversion. In: Parallel Computing: On the Road to Exascale, pp. 237 - 246 (Eds. Joubert, G. R.; Leather, H.; Parsons, M.; Peters, F.; Sawyer, M.). IOS Press, Amsterdam (2016)
  4. Benner, P.; Hess, M. W.: Reduced Basis Modeling for Uncertainty Quantification of Electromagnetic Problems in Stochastically Varying Domain. In: Scientific Computing in Electrical Engineering, pp. 215 - 222 (Eds. Bartel, A.; Clemens, M.; Günther, M.; ter Maten, E. J. W.). Springer, Cham (2016)
  5. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.; Silva, J. P.: Tuning the Blocksize for Dense Linear Algebra Factorization Routines with the Roofline Model. In: Algorithms and Architectures for Parallel Processing: 16th International Conference, ICA3PP 2016, Granada, Spain, December 14-16, 2016, Proceedings, pp. 18 - 29 (Eds. Carretero, J.; Garcia-Blas, J.; Ko, R. K. L.; Mueller, P.; Nakano, K.). Springer International Publishing, Cham (2016)
  6. Catalán, S.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: The Impact of Panel Factorization on the Gauss-Huard Algorithm for the Solution of Linear Systems on Modern Architectures. In: Algorithms and Architectures for Parallel Processing: 16th International Conference, ICA3PP 2016, Granada, Spain, December 14-16, 2016, Proceedings, pp. 405 - 416 (Eds. Carretero, J.; Garcia-Blas, J.; Ko, R. K.L.; Nakano, K.). Springer International Publishing, Cham (2016)
  7. Feng, L.; Meuris, P.; Schoenmaker, W.; Benner, P.: Parametric and Reduced-Order Modeling for the Thermal Analysis of Nanoelectronic Structures. In: Scientific Computing in Electrical Engineering, pp. 155 - 163 (Eds. Bartel, A.; Clemens, M.; Günther, M.; ter Maten, E. J. W.). Springer International Publishing, Switzerland (2016)
  8. Grundel, S.; Hornung, N.; Roggendorf, S.: Numerical Aspects of Model Order Reduction for Gas Transportation Networks. In: Simulation-Driven Modeling and Optimization: ASDOM, Reykjavik, August 2014, pp. 1 - 28 (Eds. Koziel, S.; Leifsson, L.; Yang, X.-S.). Springer International Publishing, Cham (2016)
  9. Hess, M. W.; Benner, P.: Output Error Estimates in Reduced Basis Methods for Time-Harmonic Maxwell's Equations. In: Numerical Mathematics and Advanced Applications - ENUMATH 2015, pp. 351 - 358 (Eds. Karasözen, B.; Manguoglu, M.; Tezer ‐ Sezgin, M.; Göktepe, S.; Ugur, Ö.). Springer International Publishing, Cham (2016)

Conference Paper (14)

  1. 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)
  2. 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)
  3. 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)
  4. 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)
  5. 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)
  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. 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)
  9. 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)
  10. 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)
  11. 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)
  12. 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)
  13. 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)
 
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