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 (156)

  1. 2011
    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)
  2. 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)
  3. 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)
  4. 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)
  5. 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)
  6. 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 (54)

  1. 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 (Eds. Quintela, P.; Barral, P.; Gómez, D.; Pena, F. J.; Rodríguez, J. et al.) (accepted)
  2. 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)
  3. 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 (2017)
  4. 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)
  5. 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)
  6. Benner, P.; Schneider, A.: Reduced Representation of Power Grid Models. In: System Reduction for Nanoscale IC Design, pp. 87 - 134 (Ed. Benner, P.) (2017)
  7. 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. Springer (accepted)
  8. 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.) (2017)
  9. 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.) (2017)
  10. 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)
  11. 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)
  12. 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)
  13. 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)
  14. 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)
  15. 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)
  16. 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)
  17. 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)
  18. 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)
  19. 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)
  20. 2015
    Baumann, M.; Heiland, J.; Schmidt, M.: Discrete Input/Output Maps and their Relation to Proper Orthogonal Decomposition. In: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, pp. 585 - 608 (Eds. Benner, P.; Bollhöfer, M.; Kressner, D.; Mehl, C.; Stykel, T.). Springer International Publishing, Cham (2015)
  21. Benner, P.; Heiland, J.: LQG-Balanced Truncation Low-Order Controller for Stabilization of Laminar Flows. In: Active Flow and Combustion Control 2014, pp. 365 - 379 (Ed. King, R.). Springer International Publishing, Cham (2015)
  22. Benner, P.; Faßbender, H.: Model Order Reduction: Techniques and Tools. In: Encyclopedia of Systems and Control, pp. 722 - 729 (Eds. Baillieul, J.; Samad, T.). Springer, London (2015)
  23. Benner, P.: Model Reduction. In: Princeton Companion to Applied Mathematics, Part II.26 Ed., pp. 117 - 119 (Ed. Higham, N. J.). Princeton University Press, Princeton (2015)
  24. Benner, P.; Feng, L.; Li, S.; Zhang, Y.: Reduced-Order Modeling and ROM-Based Optimization of Batch Chromatography. In: Numerical Mathematics and Advanced Applications - ENUMATH 2013, pp. 427 - 435 (Eds. Abdulle, A.; Deparis, S.; Kressner, D.; Nobile, F.; Picasso, M.). Springer International Publishing, Cham (2015)
  25. Benner, P.; Breiten, T.; Feng, L.: Matrix Equations and Model Reduction. In: Matrix Functions and Matrix Equations, pp. 50 - 75 (Eds. Bai, Z.; Gao, W.; Su, Y.). World Scientific, New Jersey (2015)
  26. Benner, P.: Theory and Numerical Solution of Differential and Algebraic Riccati Equations. In: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, pp. 67 - 105 (Eds. Benner, P.; Bollhöfer, M.; Kressner, D.; Mehl, C.; Stykel, T.). Springer International Publishing, Cham (2015)
  27. Benner, P.; Losse, P.; Mehrmann, V.; Voigt, M.: Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations. In: Surveys in Differential-Algebraic Equations III, pp. 117 - 175 (Eds. Ilchmann, A.; Reis, T.). Springer, Cham, Switzerland (2015)
  28. Dufrechou, E.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Solving Linear Systems on the Intel Xeon-Phi Accelerator via the Gauss-Huard Algorithm. In: High Performance Computing, pp. 107 - 117 (Eds. Osthoff, C.; Navaux, P. O. A.; Barrios Hernandez, C. J.; Silva Dias, P. L.). Springer, Cham (2015)
  29. Yücel, H.; Benner, P.: Distributed Optimal Control Problems Governed by Coupled Convection Dominated PDEs with Control Constraints. In: Numerical Mathematics and Advanced Applications - ENUMATH 2013, pp. 469 - 478 (Eds. Abdulle, A.; Deparis, S.; Kressner, D.; Nobile, F.; Picasso, M.). Springer International Publishing, Cham (2015)
  30. 2014
    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)
  31. 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)
  32. 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)
  33. 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)
  34. 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)
 
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