Publications

Publications

Conference Paper (118)

  1. 351.
    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)
  2. 352.
    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)
  3. 353.
    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)
  4. 354.
    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)
  5. 355.
    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)
  6. 356.
    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)
  7. 357.
    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)
  8. 358.
    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)
  9. 359.
    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)
  10. 360.
    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)
  11. 361.
    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)
  12. 362.
    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)
  13. 363.
    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)
  14. 364.
    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)
  15. 365.
    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)
  16. 366.
    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)
  17. 367.
    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. 368.
    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. 369.
    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. 370.
    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. 371.
    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. 372.
    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 - PhD (12)

  1. 373.
    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. 374.
    Hess, M. W.: Reduced Basis Approximations for Electromagnetic Applications. Dissertation, 169 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  3. 375.
    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. 376.
    Weichelt, H. K.: Numerical Aspects of Flow Stabilization by Riccati Feedback. Dissertation, 217 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  5. 377.
    Onwunta, A.: Low-Rank Iterative Solvers for Large-Scale Stochastic Galerkin Linear Systems. Dissertation, 158 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  6. 378.
    Zhang, Y.: Model Order Reduction for Parameterized Nonlinear Evolution Equations. Dissertation, 160 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  7. 379.
    Kürschner, P.: Efficient Low-Rank Solution of Large-Scale Matrix Equations. Dissertation, 247 pp., Shaker Verlag, Aachen (2016)
  8. 380.
    Bruns, A. S.: Bilinear H2-optimal Model Order Reduction with applications to thermal parametric systems. Dissertation, 191 pp., Otto-von-Guericke Universität, Magdeburg (2015)
  9. 381.
    Uddin, M. M.: Computational Methods for Model Reduction of Large-Scale Sparse Structured Descriptor Systems. Dissertation, 123 pp., Otto-von-Guericke Universität, Magdeburg (2015)
  10. 382.
    Voigt, M.: On Linear-Quadratic Optimal Control and Robustness of Differential-Algebraic Systems. Dissertation, 310 pp., Logos, Berlin (2015)
  11. 383.
    Breiten, T.: Interpolatory Methods for Model Reduction of Large-Scale Dynamical Systems. Dissertation, 203 pp., Otto-von-Guericke Universität, Magdeburg (2013)
  12. 384.
    Mach, T.: Eigenvalue Algorithms for Symmetric Hierarchical Matrices. Dissertation, 175 pp., Technische Universität, Chemnitz (2012)

Thesis - Master (9)

  1. 385.
    Pauer, G.: Entwicklung & Implementierung eines hybriden GPU/CPU IRKA. Master, 42 pp., Otto-von-Guericke Universität, Magdeburg (2018)
  2. 386.
    Alfke, D.: Iterative Interpolatory Model Order Reduction for Delay Systems. Master, 54 pp., Otto-von-Guericke Universität, Magdeburg (2017)
  3. 387.
    Penke, C.: GPU-Accelerated Computation of the Matrix Disc Function and its Applications. Master, 87 pp., Otto-von-Guericke Universität, Magdeburg (2017)
  4. 388.
    Werner, S. W. R.: Hankel-Norm Approximation of Descriptor Systems. Master, 98 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  5. 389.
    Baran, B.: Optimal Control of a Stefan Problem with Gradient-Based Methods in FEniCS. Master, 79 pp., Otto-von-Guericke Universität, Magdeburg (2016)
  6. 390.
    Behr, M.: Optimization and Stabilization of Incompressible Flows via Boundary Control in M.E.S.S. Master, 99 pp., Otto-von-Guericke Universität, Magdeburg (2015)
  7. 391.
    Hund, M.: Zeitbereichs-Modellreduktion und Sylvester-Gleichungen. Master, 141 pp., Otto-von-Guericke Universität, Magdeburg (2015)
  8. 392.
    Alam, G. M.: Fast Iterative Solution of Large Scale Statistical Inverse Problem. Master, 82 pp., Stockholm University, Stockholm, Sweden (2013)
  9. 393.
    Bosch, J.: Fast solvers for Cahn-Hilliard variational inequalities. Master, 103 pp., Otto-von-Guericke Universität, Magdeburg (2012)

Thesis - Bachelor (7)

  1. 394.
    Pauer, G.: Numerisches Lösen großer dünnbesetzter Matrixgleichungen auf CUDA GPUs. Bachelor, 25 pp., Otto-von-Guericke Universität, Magdeburg (2015)
  2. 395.
    Werner, S. W. R.: Numerische Berechnung der Eigenwerte großer Hamiltonisch-positiver Matrizen. Bachelor, 79 pp., Otto-von-Guericke Universität, Magdeburg (2014)
  3. 396.
    Hermann, S.: Simultane iterative Lösung der adjungierten linearen Gleichungssysteme in der dualen Niedrig-Rang ADI Iteration für Lyapunovgleichungen. Bachelor, 48 pp., Otto-von-Guericke Universität, Magdeburg (2014)
  4. 397.
    Penke, C.: Implementierung der Newton-Iteration zur Berechnung des Signums eines Matrix-Büschels mit Hilfe der MAGMA-Softwarebibliothek. Bachelor, 53 pp., Otto-von-Guericke Universität, Magdeburg (2014)
  5. 398.
    Baran, B.: Numerisches Lösen großer dünnbesetzter Matrixgleichungen in Python. Bachelor, 62 pp., Otto-von-Guericke Universität, Magdeburg (2013)
  6. 399.
    Behr, M.: Second Order LQR-Problems in M.E.S.S. Bachelor, 33 pp., Otto-von-Guericke Universität, Magdeburg (2013)
  7. 400.
    Hund, M.: Adaptive Berechnung der ADI Shiftparameter in der Niedrig-Rang-Galerkin-ADI. Bachelor, 62 pp., Otto-von-Guericke Universität, Magdeburg (2012)
 
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