Head of the Group

Prof. Dr. Peter Benner
Prof. Dr. Peter Benner
Phone: +49 391 6110 450
Fax: +49 391 6110 453
Room: S2.15

Contact Person

Diana Noatsch-Liebke
Phone: +49 391 6110 450
Fax: +49 391 6110 526
Room: S2.16
Janine Holzmann
Phone: +49 391 6110 416
Fax: +49 391 6110 637
Room: S 3.17

Group Page

Publications

Publications CSC group

Journal Article (172)

  1. 2013
    Benner, P.; Ezzatti, P.; Mena, H.; Quintana-Ortí, E. S.; Remón, A.: Solving Matrix Equations on Multi-Core and Many-Core Architectures. Algorithms 6 (4), pp. 857 - 870 (2013)
  2. Benner, P.; Saak, J.: Numerical Solution of Large and Sparse Continuous Time Algebraic Matrix Riccati and Lyapunov Equations: A State of the Art Survey. GAMM Mitteilungen 36 (1), pp. 32 - 52 (2013)
  3. 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 (2013)
  4. Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Matrix Inversion on CPU-GPU Platforms with Applications in Control Theory. Concurrency and Computation: Practice and Experience 25 (8), pp. 1170 - 1182 (2013)
  5. Feng, L.; Benner, P.; Korvink, J. G.: Subspace Recycling Accelerates the Parametric Macro‐modeling of MEMS. International Journal for Numerical Methods in Engineering 94 (1), pp. 84 - 110 (2013)
  6. Hess, M. W.; Benner, P.: Fast Evaluation of Time-Harmonic Maxwell's Equations Using the Reduced Basis Method. IEEE Transactions on Microwave Theory and Techniques 61 (6), pp. 2265 - 2274 (2013)
  7. Nowakowski, C.; Kürschner, P.; Eberhard, P.; Benner, P.: Model Reduction of an Elastic Crankshaft for Elastic Multibody Simulations. Zeitschrift für Angewandte Mathematik und Mechanik 93 (4), pp. 198 - 216 (2013)
  8. Yücel, H.; Stoll, M.; Benner, P.: Discontinuous Galerkin Finite Element Methods with Shock-Capturing for Nonlinear Convection Dominated Models. Computers and Chemical Engineering 58, pp. 278 - 287 (2013)
  9. 2012
    Benner, P.; Sima, V.; Voigt, M.: L-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils. IEEE Transactions on Automatic Control 57 (1), pp. 233 - 238 (2012)
  10. Benner, P.; Mach, T.: Computing All or Some Eigenvalues of Symmetric ℋ-Matrices. SIAM Journal on Scientific Computing 34 (1), pp. A485 - A496 (2012)
  11. Benner, P.; Breiten, T.: Interpolation-Based H2-Model Reduction of Bilinear Control Systems. SIAM Journal on Matrix Analysis and Applications 33 (3), pp. 859 - 885 (2012)
  12. Blank, L.; Sarbu, L.; Stoll, M.: Preconditioning for Allen-Cahn variational inequalities with non-local constraints. Journal of Computational Physics 231 (16), pp. 5406 - 5420 (2012)
  13. Pearson, J. W.; Stoll, M.; Wathen, A. J.: Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems. SIAM Journal on Matrix Analysis and Applications 33 (4), pp. 1126 - 1152 (2012)
  14. Stoll, M.: A Krylov-Schur approach to the truncated SVD. Linear Algebra and its Applications 436 (8), pp. 2795 - 2806 (2012)
  15. Uddin, M. M.; Saak, J.; Kranz, B.; Benner, P.: Computation of a Compact State Space Model for an Adaptive Spindle Head Configuration with Piezo Actuators using Balanced Truncation. Production Engineering 6 (6), pp. 577 - 586 (2012)
  16. 2011
    Baur, U.; Beattie, C.; Benner, P.; Gugercin, S.: Interpolatory Projection Methods for Parameterized Model Reduction. SIAM Journal on Scientific Computing 33 (5), pp. 2489 - 2518 (2011)
  17. Benner, P.; Ezzatti, P.; Kressner, D.; Quintana-Ortí, E. S.; Remón, A.: A Mixed-Precision Algorithm for the Solution of Lyapunov Equations on Hybrid CPU-GPU Platforms. Parallel Computing 37 (8), pp. 439 - 450 (2011)
  18. Benner, P.; Saak, J.: Efficient Balancing-Based MOR for Large-Scale Second-Order Systems. Mathematical and Computer Modelling of Dynamical Systems 17 (2), pp. 123 - 143 (2011)
  19. Benner, P.; Damm, T.: Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems. SIAM Journal on Control and Optimization 49 (2), pp. 686 - 711 (2011)
  20. Benner, P.; Faßbender, H.: On the Numerical Solution of Large-Scale Sparse Discrete-Time Riccati Equations. Advances in Computational Mathematics 35 (2-4), pp. 119 - 147 (2011)
  21. Benner, P.; Breiten, T.; Damm, T.: Generalized Tangential Interpolation for Model Reduction of Discrete-Time MIMO Bilinear Systems. International Journal of Control 84 (8), pp. 1398 - 1407 (2011)
  22. Benner, P.; Byers, R.; Losse, P.; Mehrmann, V.; Xu, H.: Robust Formulas for Optimal H Controllers. Automatica 47 (12), pp. 2639 - 2646 (2011)

Book (10)

  1. 2017
    Benner, P.; Cohen, A.; Ohlberger, M.; Willcox, K. (Eds.): Model Reduction and Approximation. SIAM, Philadelphia (2017), 412 pp.
  2. Benner, P. (Ed.): System Reduction for Nanoscale IC Design. Springer International Publishing, Cham, Switzerland (2017), 193 pp.
  3. Benner, P.; Ohlberger, M.; Patera, A. T.; Rozza, G.; Urban, K. (Eds.): Model Reduction of Parametrized Systems. Springer International Publishing, Cham, Switzerland (2017), 504 pp.
  4. 2016
    Banagaaya, N.; Ali, G.; Schilders, W. H. A.: Index-aware Model Order Reduction Methods. Atlantis Press, Paris (2016), 86 pp.
  5. 2015
    Benner, P.; Bollhöfer, M.; Kressner, D.; Mehl, C.; Stykel, T. (Eds.): Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory. Springer International Publishing, Cham (2015), 608 pp.
  6. 2014
    Benner, P.; Mena, H.; Schneider, R.: Modelo para las aspersiones con glifosato: frontera Ecuador-Colombia. Shaker Verlag, Aachen (2014), 208 pp.
  7. 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.
  8. 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.
  9. 2013
    Bechtold, T.; Schrag, G.; Feng, L. (Eds.): System-level Modeling of MEMS. Wiley-VCH, Weinheim (2013), 530 pp.
  10. 2011
    Benner, P.; Hinze, M.; ter Maten, E. J. W. (Eds.): Model Reduction for Circuit Simulation. Springer, Dordrecht (2011), 315 pp.

Book Chapter (60)

  1. 2018
    Altmann, R.; Heiland, J.: Continuous, Semi-discrete, and Fully Discretized Navier-Stokes Equations. In: Applications of Differential-Algebraic Equations: Examples and Benchmarks (accepted)
  2. Banagaaya, N.; Feng, L.; Schoenmaker, W.; Meuris, P.; Gillon, R.; Benner, P.: Sparse Model Order Reduction for Electro-Thermal Problems with Many Inputs. In: Scientific Computing in Electrical Engineering, pp. 189 - 202 (Eds. Langer, U.; Amrhein, W.; Zulehner, W.) (2018)
  3. Benner, P.; Goyal, P. K.: An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier-Stokes Equations. In: Reduced-Order Modeling for Simulation and Optimization, pp. 1 - 19 (Eds. Keiper, W.; Milde, A.; Volkwein, S.). Springer, Cham, Switzerland (2018)
  4. Benner, P.; Braukmüller, M.; Grundel, S.: A Direct Index 1 DAE Model of Gas Networks. In: Reduced-Order Modeling (ROM) for Simulation and Optimization, pp. 99 - 119 (Eds. Keiper, W.; Milde, A.; Volkwein, S.) (2018)
  5. Benner, P.; Köhler, M.; Penke, C.: GPU-Accelerated and Storage-Efficient Implementation of the QR Decomposition. In: Parallel Computing is Everywhere, Vol. 32, pp. 329 - 338 (Eds. Bassini, S.; Danelutto, M.; Dazzi, P.; Joubert, G. R.; Peters, F.) (2018)
  6. Benner, P.; Grundel, S.; Himpe, C.; Huck, C.; Streusel, T.; Tischendorf, C.: Gas Network Benchmark Models. In: Benchmarks in DAEs. Springer (accepted)
  7. 2017
    Banagaaya, N.; Benner, P.; Feng, L.: Parametric Model Order Reduction for Electro-Thermal Coupled Problems with Many Inputs. In: Progress in Industrial Mathematics at ECMI 2016, pp. 263 - 270 (Eds. Quintela, P.; Barral, P.; Gómez, D.; Pena, F. J.; Rodríguez, J. et al.). Springer International Publishing, Cham, Switzerland (2017)
  8. Baur, U.; Benner, P.; Haasdonk, B.; Himpe, C.; Martini, I.; Ohlberger, M.: Comparison of Methods for Parametric Model Order Reduction of Time-Dependent Problems. In: Model Reduction and Approximation, pp. 377 - 407 (Eds. Benner, P.; Cohen, A.; Ohlberger, M.; Willcox, K.). SIAM, Philadelphia, PA (2017)
  9. Benner, P.; Stykel, T.: Model Order Reduction for Differential-Algebraic Equations: A Survey. In: Surveys in Differential-Algebraic Equations IV, Differential-Algebraic Equations Forum, pp. 107 - 160 (Eds. Ilchmann, A.; Reis, T.). Springer International Publishing, Cham, Switzerland (2017)
  10. Benner, P.; Dufrechou, E.; Ezzatti, P.; Mena, H.; Quintana-Ortí, E. S.; Remón, A.: Solving Sparse Differential Riccati Equations on Hybrid CPU-GPU Platforms. In: Computational Science and Its Applications - ICCSA 2017: 17th International Conference, Trieste, Italy, July 3-6, 2017, Proceedings, Part I, pp. 116 - 132 (Eds. Gervasi, O.; Murgante, B.; Misra, S.; Borruso, G.; Torre, C. M. et al.). Springer, Cham (2017)
  11. Benner, P.; Breiten, T.: Model Order Reduction Based on System Balancing. In: Model Reduction and Approximation, pp. 261 - 295 (Eds. Benner, P.; Cohen, A.; Ohlberger, M.; Willcox, K.). SIAM, Philadelphia, PA (2017)
  12. Benner, P.; Schneider, A.: Reduced Representation of Power Grid Models. In: System Reduction for Nanoscale IC Design, pp. 87 - 134 (Ed. Benner, P.). Springer, Cham, Switzerland (2017)
  13. Benner, P.; Goyal, P. K.; Redmann, M.: Truncated Gramians for Bilinear Systems and their Advantages in Model Order Reduction. In: Model Reduction of Parametrized Systems, pp. 285 - 300 (Eds. Benner, P.; Ohlberger, M.; Patera, A.; Rozza, G.; Urban, K.). Springer, Cham, Switzerland (2017)
  14. Benner, P.; Hess, M. W.: Reduced Basis Approximations for Maxwell’s Equations in Dispersive Media. In: Model Reduction of Parametrized Systems, pp. 107 - 119 (Eds. Benner, P.; Ohlberger, M.; Patera, A.; Rozza, G.; Urban, K.). Springer, Cham, Switzerland (2017)
  15. Feng, L.; Antoulas, A. C.; Benner, P.: Automatic Generation of Reduced Order Models for Linear Parametric Systems. In: Progress in Industrial Mathematics at ECMI 2014, pp. 811 - 818 (Eds. Russo, G.; Capasso, V.; Nicosia, G.; Romano, V.). Springer International Publishing, Cham, Switzerland (2017)
  16. Janssen, H. H. J. M.; Benner, P.; Bittner, K.; Brachtendorf, H.-G.; Feng, L.; ter Maten, E. J. W.; Pulch, R.; Schoenmaker, W.; Schöps, S.; Tischendorf, C.: The European Project nanoCOPS for Nanoelectronic Coupled Problems Solutions. In: Progress in Industrial Mathematics at ECMI 2014, pp. 835 - 842 (Eds. Russo, G.; Capasso, V.; Nicosia, G.; Romano, V.). Springer International Publishing, Cham, Switzerland (2017)
  17. 2016
    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)
  18. 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)
 
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