Publications

Publications

Book Chapter (57)

  1. 201.
    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)
  2. 202.
    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)
  3. 203.
    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)
  4. 204.
    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)
  5. 205.
    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)
  6. 206.
    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)
  7. 207.
    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)
  8. 208.
    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)
  9. 209.
    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)
  10. 210.
    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)
  11. 211.
    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)
  12. 212.
    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)
  13. 213.
    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)
  14. 214.
    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)
  15. 215.
    Benner, P.: Control Theory. In: Handbook of Linear Algebra, 2nd edition, Chapter 80 Ed. (Ed. Hogben, L.). Chapman and Hall/CRC, Boca Raton (2014)
  16. 216.
    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)
  17. 217.
    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)
  18. 218.
    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)
  19. 219.
    Benner, P.; Hein, S.: MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations. In: System Modeling and Optimization, pp. 217 - 224 (Eds. Hömberg, D.; Tröltzsch, F.). Springer, Berlin, Heidelberg (2013)
  20. 220.
    Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Unleashing CPU-GPU Acceleration for Control Theory Applications. In: Euro-Par 2012: Parallel Processing Workshops, pp. 102 - 111 (Eds. Caragiannis, I.; Alexander, M.; Badia, R. M.; Cannataro, M.; Costan, A. et al.). Springer, Berlin Heidelberg (2013)
  21. 221.
    Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: On the Impact of Optimization on the Time-Power-Energy Balance of Dense Linear Algebra Factorizations. In: Algorithms and Architectures for Parallel Processing: 13th International Conference, ICA3PP 2013, Vietri sul Mare, Italy, December 18-20, 2013, Proceedings, Part II, pp. 3 - 10 (Eds. Aversa, R.; Kołodziej, J.; Zhang, J.; Amato, F.; Fortino, G.). Springer, Cham (2013)
  22. 222.
    Feng, L.; Benner, P.; Korvink, J. G.: System-Level Modeling of MEMS by Means of Model Order Reduction (Mathematical Approximation) - Mathematical Background. In: System-level Modeling of MEMS, pp. 53 - 93 (Eds. Bechtold, T.; Schrag, G.; Feng, L.). Wiley-VCH, Weinheim (2013)
  23. 223.
    Grundel, S.; Hornung, N.; Klaassen, B.; Benner, P.; Clees, T.: Computing Surrogates for Gas Network Simulation Using Model Order Reduction. In: Surrogate-Based Modeling and Optimization, pp. 189 - 212 (Eds. Koziel, S.; Leifsson, L.). Springer, New York (2013)
  24. 224.
    Köhler, M.; Saak, J.: A shared memory parallel implementation of the IRKA algorithm for H2 model order reduction. In: Applied Parallel and Scientific Computing, Vol. 7782, pp. 541 - 544. Springer, Berlin (2013)
  25. 225.
    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)
  26. 226.
    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)
  27. 227.
    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)
  28. 228.
    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)
  29. 229.
    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)
  30. 230.
    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)
  31. 231.
    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)
  32. 232.
    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)
  33. 233.
    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)

Conference Paper (107)

  1. 234.
    Benner, P.; Werner, S. W. R.: Model Reduction of Descriptor Systems with the MORLAB Toolbox. 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, February 21, 2018 - February 23, 2018. IFAC-PapersOnLine 51, pp. 547 - 552 (2018)
  2. 235.
    Benner, P.; Seidel-Morgenstern, A.; Zuyev, A.: Computation of Periodic Switching Strategies for the Optimal Control of Chemical Reactions. In: Mathematical and Numerical Aspects of Dynamical System Analysis, pp. 59 - 66 (Eds. Awrejcewicz, J.; Kazmierczak, M.; Mrozowski, J.; Olejnik, P.). 14th International Conference Dynamical Systems - Theory and Applications, Łódź, Poland, December 11, 2017 - December 14, 2017. (2018)
  3. 236.
    Saak, J.; Voigt, M.: Model Reduction of Constrained Mechanical Systems in M-M.E.S.S. 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, February 21, 2018 - February 23, 2018. IFAC-PapersOnLine 51, pp. 661 - 666 (2018)
  4. 237.
    Zuyev, A.; Novikova, J.: Modeling and Stabilization of a Rotating Mechanical System with Elastic Plates. 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, February 21, 2018 - February 23, 2018. IFAC-PapersOnLine 51, pp. 493 - 498 (2018)
  5. 238.
    Aliyev, N.; Benner, P.; Mengi, E.; Schwerdtner, P.; Voigt, M.: A Greedy Subspace Method for Computing the L-Norm. 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Weimar, Germany, March 06, 2017 - March 10, 2017. Proceedings in Applied Mathematics and Mechanics 17, pp. 751 - 752 (2017)
  6. 239.
    Baran, B.; Benner, P.; Heiland, J.; Saak, J.: Towards Riccati-Feedback Control of Complex Flows with Moving Interfaces. 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Weimar, Germany, March 06, 2017 - March 10, 2017. Proceedings in Applied Mathematics and Mechanics 17, pp. 769 - 770 (2017)
  7. 240.
    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)
  8. 241.
    Benner, P.; Dufrechou, E.; Ezzatti, P.; Remón, A.: Studying Mixed Precision Techniques for the Solution of Algebraic Riccati Equations. In: Book of Abstracts of 2nd Workshop on Power-Aware Computing, Ringberg Castle, pp. 1 - 6. 2nd Workshop on Power-Aware Computing, Ringberg Castle, Ringberg Castle, Germany, July 05, 2017 - July 08, 2017. (2017)
  9. 242.
    Benner, P.; Köhler, M.; Penke, C.: GPU-Accelerated Implementation of the Storage-Efficient QR Decomposition. In: Book of Abstracts of 2nd Workshop on Power-Aware Computing, Ringberg Castle, pp. 1 - 6. 2nd Workshop on Power-Aware Computing, Ringberg Castle, Ringberg Castle, Germany, July 05, 2017 - July 08, 2017. (2017)
  10. 243.
    Benner, P.; Werner, S. W. R.: On the Transformation Formulas of the Hankel-Norm Approximation. 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) , Weimar, Germany, March 06, 2017 - March 10, 2017. Proceedings in Applied Mathematics and Mechanics 17, pp. 823 - 824 (2017)
  11. 244.
    Benner, P.; Heiland, J.: Convergence of Approximations to Riccati-based Boundary-feedback Stabilization of Laminar Flows. IFAC World Congress 2017, Toulouse, France, July 09, 2017 - July 14, 2017. IFAC-PapersOnLine 50 (1), pp. 12296 - 12300 (2017)
  12. 245.
    Benner, P.; Heiland, J.: Nonlinear Feedback Stabilization of Incompressible Flows via Updated Riccati-based Gains. In: 2017 IEEE 56th Annual Conference on Decision and Control (CDC), pp. 1163 - 1168. 2017 IEEE 56th Annual Conference on Decision and Control (CDC), Melbourne, Australia, December 12, 2017 - December 15, 2017. (2017)
  13. 246.
    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)
  14. 247.
    Grushkovskaya, V.; Dürr, H.-B.; Ebenbauer, C.; Zuyev, A.: Extremum Seeking for Time-Varying Functions using Lie Bracket Approximations. IFAC 2017 World Congress, Toulouse, France, July 09, 2017 - July 14, 2017. IFAC-PapersOnLine 50 (1), pp. 5522 - 5528 (2017)
  15. 248.
    Grushkovskaya, V.; Zuyev, A.: Motion Planning Problem with Obstacle Avoidance for Step-2 Bracket-Generating Systems. 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Weimar, Germany, March 06, 2017 - March 10, 2017. Proceedings in Applied Mathematics and Mechanics 17, pp. 799 - 800 (2017)
  16. 249.
    Himpe, C.; Leibner, T.; Rave, S.: Comprehensive Memory-Bound Simulations on Single Board Computers. In: Book of Abstracts of 2nd Workshop on Power-Aware Computing, Ringberg Castle, pp. 1 - 6. 2nd Workshop on Power-Aware Computing, Ringberg Castle , Ringberg Castle, Germany, July 05, 2017 - July 08, 2017. (2017)
  17. 250.
    Köhler, M.; Saak, J.: Frequency Scaling and Energy Efficiency regarding the Gauss-Jordan Elimination Scheme on OpenPower 8. In: Book of Abstracts of 2nd Workshop on Power-Aware Computing, Ringberg Castle, pp. 1 - 6. 2nd Workshop on Power-Aware Computing, Ringberg Castle, Ringberg Castle, Germany, July 05, 2017 - July 08, 2017. (2017)
 
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