Publications

Publications

Journal Article (18)

  1. 1.
    Journal Article
    Benner, P.; Mena, H.: Rosenbrock Methods for Solving Riccati Differential Equations. IEEE Transactions on Automatic Control 58 (11), pp. 2950 - 2956 (2013)
  2. 2.
    Journal Article
    Benner, P.; Voigt, M.: Spectral Characterization and Enforcement of Negative Imaginariness for Descriptor Systems. Linear Algebra and its Applications 439 (4), pp. 1104 - 1129 (2013)
  3. 3.
    Journal Article
    Benner, P.; Breiten, T.: Low Rank Methods for a Class of Generalized Lyapunov Equations and Related Issues. Numerische Mathematik 124 (3), pp. 441 - 470 (2013)
  4. 4.
    Journal Article
    Benner, P.; Mach, T.: The LR Cholesky Algorithm for Symmetric Hierarchical Matrices. Linear Algebra and its Applications 439 (4), pp. 1150 - 1166 (2013)
  5. 5.
    Journal Article
    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)
  6. 6.
    Journal Article
    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)
  7. 7.
    Journal Article
    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)
  8. 8.
    Journal Article
    Benner, P.; Ezzatti, P.; Mena, H.; Quintana-Ortí, E.; Remón, A.: HPC en simulación y control a gran escala. Revista Elementos 3 (3), pp. 9 - 35 (2013)
  9. 9.
    Journal Article
    Benner, P.; Saak, J.; Stoll, M.; Weichelt, H. K.: Efficient Solution of Large-Scale Saddle Point Systems Arising in Riccati-Based Boundary Feedback Stabilization of Incompressible Stokes Flow. SIAM Journal on Scientific Computing 35 (5 - Special Section: 2012 Copper Mountain Conference), pp. S150 - S170 (2013)
  10. 10.
    Journal Article
    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)
  11. 11.
    Journal Article
    Benner, P.; Kürschner, P.; Saak, J.: An Improved Numerical Method for Balanced Truncation for Symmetric Second-Order Systems. Mathematical and Computer Modelling of Dynamical Systems 19 (6), pp. 593 - 615 (2013)
  12. 12.
    Journal Article
    Benner, P.; Mach, T.: The Preconditioned Inverse Iteration for Hierarchical Matrices. Numerical Linear Algebra with Applications 20 (1), pp. 150 - 166 (2013)
  13. 13.
    Journal Article
    Benner, P.; Tomljanović, Z.; Truhar, N.: Optimal Damping of Selected Eigenfrequencies Using Dimension Reduction. Numerical Linear Algebra with Applications 20 (1), pp. 1 - 17 (2013)
  14. 14.
    Journal Article
    Benner, P.; Kürschner, P.; Saak, J.: Efficient Handling of Complex Shift Parameters in the Low-Rank Cholesky Factor ADI method. Numerical Algorithms 62 (2), pp. 225 - 251 (2013)
  15. 15.
    Journal Article
    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)
  16. 16.
    Journal Article
    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)
  17. 17.
    Journal Article
    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)
  18. 18.
    Journal Article
    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)

Book (1)

  1. 19.
    Book
    Bechtold, T.; Schrag, G.; Feng, L. (Eds.): System-level Modeling of MEMS. Wiley-VCH, Weinheim (2013), 530 pp.

Book Chapter (6)

  1. 20.
    Book Chapter
    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)
  2. 21.
    Book Chapter
    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)
  3. 22.
    Book Chapter
    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)
  4. 23.
    Book Chapter
    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)
  5. 24.
    Book Chapter
    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)
  6. 25.
    Book Chapter
    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)

Conference Paper (15)

  1. 26.
    Conference Paper
    Bajcinca, N.; Voigt, M.: Spectral Conditions for Symmetric Positive Real and Negative Imaginary Systems. In: 2013 - European Control Conference (ECC 2013), pp. 809 - 814. European Control Conference 2013, Zuerich, Switzerland, July 17, 2013 - July 19, 2013. (2013)
  2. 27.
    Conference Paper
    Bechtold, T.; Schrag, G.; Feng, L.: Enabling technologies for system-level simulation of MEMS. In: Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE), pp. 1 - 6. EuroSimE 2013 - 14th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems, Wroclaw, Poland, April 14, 2013 - April 17, 2013. (2013)
  3. 28.
    Conference Paper
    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)
  4. 29.
    Conference Paper
    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)
  5. 30.
    Conference Paper
    Benner, P.; Denißen, J.; Kohaupt, L.: Bounds on the Solution of Linear Time-Periodic 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. 447 - 448 (2013)
  6. 31.
    Conference Paper
    Benner, P.; Lang, N.; Saak, J.: Modellordnungsreduktion für geschaltete, gekoppelte thermo-elastische Systeme. In: Tagungsband des GMA-Fachausschusses 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", pp. 215 - 227. GMA Fachausschuss 1.30 "Modellbildung, Identifikation und Simulation in der Automatisierungstechnik", Salzburg, Österreich, September 18, 2013 - September 20, 2013. (2013)
  7. 32.
    Conference Paper
    Benner, P.; Lang , N.; Saak, J.: Modeling Structural Variability in Reduced Order Models of Machine Tool Assembly Groups via Parametric MOR. 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. 481 - 482 (2013)
  8. 33.
    Conference Paper
    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)
  9. 34.
    Conference Paper
    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)
  10. 35.
    Conference Paper
    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)
  11. 36.
    Conference Paper
    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)
  12. 37.
    Conference Paper
    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)
  13. 38.
    Conference Paper
    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)
  14. 39.
    Conference Paper
    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)
  15. 40.
    Conference Paper
    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)

Thesis - PhD (1)

  1. 41.
    Thesis - PhD
    Breiten, T.: Interpolatory Methods for Model Reduction of Large-Scale Dynamical Systems. Dissertation, 203 pp., Otto-von-Guericke Universität, Magdeburg (2013)

Thesis - Master (1)

  1. 42.
    Thesis - Master
    Alam, G. M.: Fast Iterative Solution of Large Scale Statistical Inverse Problem. Master, 82 pp., Stockholm University, Stockholm, Sweden (2013)

Thesis - Bachelor (2)

  1. 43.
    Thesis - Bachelor
    Baran, B.: Numerisches Lösen großer dünnbesetzter Matrixgleichungen in Python. Bachelor, 62 pp., Otto-von-Guericke Universität, Magdeburg (2013)
  2. 44.
    Thesis - Bachelor
    Behr, M.: Second Order LQR-Problems in M.E.S.S. Bachelor, 33 pp., Otto-von-Guericke Universität, Magdeburg (2013)

Editorial (1)

  1. 45.
    Editorial
    Benner, P.; Kressner, D.: Preface of the Guest-Editors. GAMM Mitteilungen 36 (1), pp. 6 - 7 (2013)
 
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