Publications

Publications

Conference Paper (107)

  1. 301.
    Benner, P.; Kürschner, P.; Saak, J.: A Reformulated Low-Rank ADI Iteration with Explicit Residual Factors. 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad, Serbia, March 18, 2013 - March 22, 2013. Proceedings in Applied Mathematics and Mechanics 13 (1), pp. 585 - 586 (2013)
  2. 302.
    Benner, P.; Stoll, M.: Optimal Control for Allen-Cahn Equations Enhanced by Model Predictive Control. 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations - CPDE 2013, Paris, France, September 25, 2013 - September 27, 2013. IFAC Proceedings Volumes 46 (26), pp. 139 - 143 (2013)
  3. 303.
    Benner, P.: Balancing-Related Model Reduction for Parabolic Control Systems. 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations - CPDE 2013, Paris, France, September 25, 2013 - September 27, 2013. IFAC Proceedings Volumes 46 (26), pp. 257 - 262 (2013)
  4. 304.
    Benner, P.; Lowe, R.; Voigt, M.: Computation of the H-Norm for Large-Scale Systems. In: Oberwolfach Reports, Vol. 10, pp. 3289 - 3291. Numerical Solution of PDE Eigenvalue Problems, Workshop ID: 1347, Oberwolfach, November 17, 2013 - November 23, 2013. (2013)
  5. 305.
    Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Trading Off Performance for Power-Energy in Dense Linear Algebra Operations. In: Proceedings of VI Latin American Symposium on High Performance Computing - HPCLatAm 2013, pp. 158 - 166. VI Latin American Symposium on High Performance Computing - HPCLatAm 2013, Mendoza, Argentina, July 29, 2013 - July 30, 2013. (2013)
  6. 306.
    Benner, P.; Redmann, M.: Reachability and Observability Concepts for Stochastic Systems. 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad, Serbia, March 18, 2013 - March 22, 2013. Proceedings in Applied Mathematics and Mechanics 13 (1), pp. 381 - 382 (2013)
  7. 307.
    De Luca, G.; Antonini, G.; Benner, P.: A Parallel, Adaptive Multi-Point Model Order Reduction Algorithm. In: 2013 IEEE 22nd Conference on Electrical Performance of Electronic Packaging and Systems, EPEPS 2013, pp. 115 - 118. 2013 IEEE 22nd Conference on Electrical Performance of Electronic Packaging and Systems, EPEPS 2013, San Jose, US, October 27, 2013 - October 30, 2013. (2013)
  8. 308.
    Hess, M. W.; Benner, P.: Reduced Basis Generation for Maxwell’s Equations by Rigorous Error Estimation. In: Proceedings of the 19th International Conference on the Computation of Electromagnetic Fields (COMPUMAG 2013), p. PD2-10. 19th International Conference on the Computation of Electromagnetic Fields (COMPUMAG 2013), Budapest, Hungary, June 30, 2013 - July 04, 2013. (2013)
  9. 309.
    Saak, J.; Uddin, M. M.; Voigt, M.: Modellordnungsreduktion für strukturierte Index-3-Systeme. In: Tagungsband des GMA-Fachausschusses 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", pp. 180 - 190. GMA Fachausschuss 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", Salzburg, Österreich, September 18, 2013 - September 20, 2013. (2013)
  10. 310.
    Voigt, M.: Computation of the Complex Dissipativity Radius. In: Tagungsband des GMA-Fachausschusses 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", pp. 10 - 19. GMA Fachausschuss 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", Salzburg, Österreich, September 18, 2013 - September 20, 2013. (2013)
  11. 311.
    Benner, P.; Hossain, M.-S.: Structure Preserving Iterative Solution of Periodic Projected Lyapunov Equations. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 14, 2012 - February 17, 2012. IFAC Proceedings Volumes 45 (2), pp. 276 - 281 (2012)
  12. 312.
    Benner, P.; Kürschner, P.; Saak, J.: Improved Second-Order Balanced Truncation for Symmetric Systems. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 14, 2012 - February 17, 2012. IFAC Proceedings Volumes 45 (2), pp. 758 - 762 (2012)
  13. 313.
    Benner, P.; Sima, V.; Voigt, M.: Robust and Efficient Algorithms for L-Norm Computation for Descriptor Systems. 7th IFAC Symposium on Robust Control Design - ROCOND´12, Aalborg, Dänemark, June 20, 2012 - June 22, 2012. IFAC Proceedings Volumes 45 (13), pp. 195 - 200 (2012)
  14. 314.
    Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: High Performance Implementations of the BST Method on Hybrid CPU-GPU Platforms. In: 2012 IEEE 10th International Symposium on Parallel and Distributed Processing with Applications, ISPA 2012, pp. 662 - 668. 10th IEEE International Symposium on Parallel and Distributed Processing with Applications ISPA 2012, Madrid, Spain, July 10, 2012 - July 13, 2012. IEEE (2012)
  15. 315.
    Benner, P.; Kressner, D.; Sima, V.: New SLICOT Routines Based on Structured Eigensolvers. In: 2012 IEEE International Conference on Control Applications (CCA 2012), pp. 640 - 645. IEEE International Conference on Control Applications 2012, Part of 2012 IEEE Multi-Conference on Systems and Control, Dubrovnik, Croatia, October 03, 2012 - October 05, 2012. (2012)
  16. 316.
    Benner, P.; Voigt, M.: Numerical Computation of Structured Complex Stability Radii of Large-Scale Matrices and Pencils. In: 2012 IEEE 51st Annual Conference on Decision and Control, pp. 6560 - 6565. 51st IEEE Conference on Decision and Control, Maui, Hawaii, USA, December 10, 2012 - December 13, 2012. (2012)
  17. 317.
    Benner, P.; Saak, J.; Uddin, M. M.: Second Order to Second Order Balancing for Index-1 Vibrational Systems. In: 7th International Conference on Electrical and Computer Engineering (ICECE), pp. 933 - 936. 7th International Conference on Electrical and Computer Engineering, Dhaka, Bangladesh, December 20, 2012 - December 22, 2012. (2012)
  18. 318.
    Benner, P.; Kürschner, P.; Saak, J.: Avoiding Complex Arithmetic in the Low-Rank ADI Method Efficiently. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 639 - 640 (2012)
  19. 319.
    Benner, P.; Hess, M. W.: The Reduced Basis Method for Time-Harmonic Maxwell´s Equations. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 661 - 662 (2012)
  20. 320.
    Benner, P.; Kranz, B.; Saak, J.; Uddin, M. M.: Efficient Reduced Order State Space Model Computation for a Class of Second Order Index One Systems. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 699 - 700 (2012)
  21. 321.
    Benner, P.; Voigt, M.: H-Norm Computation for Large and Sparse Descriptor Systems. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 797 - 800 (2012)
  22. 322.
    Grundel, S.: Discrete Gradient Flows on surfaces using subdivision. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 745 - 746 (2012)
  23. 323.
    Hossain, M.-S.; Benner, P.: Iterative Solvers for Periodic Matrix Equations and Model Reduction for Periodic Control Systems. In: 7th International Conference on Electrical and Computer Engineering (ICECE), pp. 791 - 794. 7th International Conference on Electrical and Computer Engineering, Dhaka, Bangladesh, December 20, 2012 - December 22, 2012. (2012)
  24. 324.
    Li, S.; Feng, L.; Benner, P.; Seidel-Morgenstern, A.: Efficient Optimization of Simulated Moving Bed Processes Using Reduced Order Models. In: 22nd European Symposium on Computer Aided Process Engineering, pp. 1232 - 1236 (Eds. Bogle, D. L.; Fairweather, M.). ESCAPE 22 - 22nd European Symposium on Computer Aided Process Engineering, London, UK, June 17, 2012 - June 20, 2012. (2012)
  25. 325.
    Mach, T.; Saak, J.: How Competitive is the ADI for Tensor Structured Equations? 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1 ), pp. 635 - 636 (2012)
  26. 326.
    Pearson, J. W.; Stoll, M.; Wathen, A. J.: Robust Iterative Solution of a Class of Time-Dependent Optimal Control Problems. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 3 - 6 (2012)
  27. 327.
    Reis, T.; Voigt, M.: Linear-quadratic infinite time horizon optimal control for differential-algebraic equations - a new algebraic criterion. In: 20th International Symposium on Mathematical Theory of Networks and Systems, pp. 1 - 8. 20th International Symposium on Mathematical Theory of Networks and Systems, Melbourne, Australia, July 09, 2012 - July 13, 2012. (2012)
  28. 328.
    Saak, J.; Benner, P.; Kürschner, P.: A Goal-Oriented Dual LRCF-ADI for Balanced Truncation. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 14, 2012 - February 17, 2012. IFAC Proceedings Volumes 45 (2), pp. 752 - 757 (2012)
  29. 329.
    Benner, P.; Voigt, M.: On the Computation of Particular Eigenvectors of Hamiltonian Matrix Pencils. 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Graz, Austria, April 18, 2011 - April 21, 2011. Proceedings in Applied Mathematics and Mechanics 11 (1), pp. 753 - 754 (2011)
  30. 330.
    Benner, P.; Eberhard, P.; Knoll, G.; Kürschner, P.; Nowakowski, C.; Ochse, G.: Optimale FE-Reduktion, Moderne Modellreduktion elastischer Bauteile für die Simulation flexibler Mehrkörpersysteme. In: Informationstagung Motoren: Frühjahrstagung 2011, Vol. Heft R 553, pp. 175 - 197. FVV Frühjahrstagung 2011, Bad Neuenahr, Germany, March 17, 2011 - March 18, 2011. (2011)
  31. 331.
    Benner, P.; Ezzatti, P.; Mena, H.; Quintana-Ortí, E. S.; Remón, A.: Solving Differential Riccati Equations on Multi-GPU Platforms. In: Proceedings of the 11th International Conference on Computational and Mathematical Methods in Science and Engineering - CMMSE, pp. 178 - 188. International Conference on Computational and Mathematical Methods in Science and Engineering - CMMSE, Alicante, Spain, June 26, 2011 - June 30, 2011. (2011)
  32. 332.
    Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: High Performance Matrix Inversion of SPD Matrices on Graphics Processors. In: International Conference on High Performance Computing and Simulation (HPCS), pp. 640 - 646. International Conference on High Performance Computing and Simulation HPCS 2011, Istanbul, Turkey, July 04, 2011 - July 08, 2011. (2011)
  33. 333.
    Benner, P.; Hochstenbach, M. E.; Kürschner, P.: Model Order Reduction of Large-Scale Dynamical Systems with Jacobi-Davidson Style Eigensolvers. In: 2011 International Conference on Communications, Computing and Control Applications (CCCA 2011), pp. 1 - 6. 2011 International Conference on Comunications, Computing and Control Applications - CCCA 2011, Hammamet, Tunesia, March 03, 2011 - March 05, 2011. (2011)
  34. 334.
    Benner, P.; Mach, T.: Locally Optimal Block Preconditioned Conjugate Gradient Method for Hierarchical Matrices. 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Graz, Austria, April 18, 2011 - April 21, 2011. Proceedings in Applied Mathematics and Mechanics 11 (1), pp. 741 - 742 (2011)
  35. 335.
    Benner, P.; Breiten, T.: On H2-Model Reduction of Linear Parameter-Varying Systems. 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Graz, Austria, April 18, 2011 - April 21, 2011. Proceedings in Applied Mathematics and Mechanics 11 (1), pp. 805 - 806 (2011)
  36. 336.
    Benner, P.; Hochstenbach, M.; Kürschner, P.: Two-sided Harmonic Subspace Extractions for the Generalized Eigenvalue Problem. 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Graz, Austria, April 18, 2011 - April 21, 2011. Proceedings in Applied Mathematics and Mechanics 11 (1), pp. 739 - 740 (2011)
  37. 337.
    Benner, P.; Voigt, M.: L-Norm Computation for Discrete-Time Descriptor Systems. In: Proceedings GMA FA 1.30 2011, pp. 228 - 240. GMA FA 1.30 Workshop "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik", Salzburg, Österreich, September 21, 2011 - September 23, 2011. (2011)
  38. 338.
    Bonin, T.; Soppa, A.; Saak, J.; Zäh, M.; Faßbender, H.; Benner, P.: Moderne Modellordnungsreduktionsverfahren für Finite-Elemente-Modelle zur Simulation von Werkmaschinen. In: Fachtagung Mechatronik, pp. 333 - 338. Fachtagung Mechatronik, Dresden, Germany, March 31, 2011 - April 01, 2011. (2011)
  39. 339.
    Benner, P.; Schneider, A.: Balanced Truncation Model Order Reduction for LTI Systems with many Inputs or Outputs. In: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems, pp. 1971 - 1974 (Ed. Edelmayer, A.). 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010, Budapest, Hungary, July 05, 2010 - July 09, 2010. (2010)
  40. 340.
    Breiten, T.; Benner, P.: Nonlinear Model Order Reduction via Quadratic Bilinear Differential Algebraic Equations. In: Proceedings GMA FA 1.30 2010, pp. 138 - 153 (Eds. Lohmann, B.; Kugi, A.). GMA FA 1.30 Workshop "Modellbildung, Identifizierung und Simulation in der Automatisierungstechnik", Salzburg, Österreich, September 22, 2010 - September 24, 2010. (2010)

Meeting Abstract (5)

  1. 341.
    Benner, P.; Goyal, P. K.: Algebraic Gramians for Quadratic-Bilinear Systems and their Application in Model Order Reduction. In: Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems, pp. 81 - 83. 22nd International Symposium on Mathematical Theory of Networks and Systems, Minnesota, USA, July 12, 2016 - July 15, 2016. (2016)
  2. 342.
    Banagaaya, N.; Feng, L.; Meuris, P.; Schoenmaker, W.; Benner, P.: Model Order Reduction of an Electro-Thermal Package Model. In: IFAC-PapersOnLine, Vol. 48, pp. 934 - 935. 8th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 18, 2015 - February 20, 2015. (2015)
  3. 343.
    Grundel, S.; Jansen, L.: A joint IMEX-MOR approach for Water Networks. In: IFAC-PapersOnLine, Vol. 48, pp. 260 - 261. 8th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 18, 2015 - February 20, 2015. (2015)
  4. 344.
    Lang, N.; Saak, J.; Stykel, T.: Towards Practical Implementations of Balanced Truncation for LTV Systems. In: IFAC-PapersOnLine, Vol. 48, pp. 7 - 8. 8th Vienna Conference on Mathematical Modelling - MATHMOD 2015, Vienna, Austria, February 18, 2015 - February 20, 2015. (2015)
  5. 345.
    Zhang, Y.; Feng, L.; Li, S.: An Efficient Output Error Bound for Model Order Reduction of Parametrized Evolution Equations. In: IFAC-PapersOnLine, Vol. 48, pp. 9 - 10. 8th Vienna International Conference on Mathematical Modelling MATHMOD, Vienna, Austria, February 18, 2015 - February 20, 2015. (2015)

Thesis - Dissertation (12)

  1. 346.
    Goyal, P. K.: System-Theoretic Model Order Reduction for Bilinear and Quadratic-Bilinear Control Systems. Dissertation, 221 pp., Otto-von-Guericke Universität, Magdeburg (2018)
  2. 347.
    Hess, M. W.: Reduced Basis Approximations for Electromagnetic Applications. Dissertation, 169 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  3. 348.
    Redmann, M.: Balancing Related Model Order Reduction Applied to Linear Controlled Evolution Equations with Lévy Noise. Dissertation, 198 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  4. 349.
    Weichelt, H. K.: Numerical Aspects of Flow Stabilization by Riccati Feedback. Dissertation, 217 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  5. 350.
    Onwunta, A.: Low-Rank Iterative Solvers for Large-Scale Stochastic Galerkin Linear Systems. Dissertation, 158 pp., Otto-von-Guericke Universität, Magdeburg (2016)
 
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