Veröffentlichungen

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), S. 271 - 282 (2013)

Benner, P.; Breiten, T.: Low Rank Methods for a Class of Generalized Lyapunov Equations and Related Issues. Numerische Mathematik 124 (3), S. 441 - 470 (2013)

Benner, P.; Ezzatti, P.; Mena, H.; Quintana-Ortí, E.; Remón, A.: HPC en simulación y control a gran escala. Revista Elementos 3 (3), S. 9 - 35 (2013)

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), S. 857 - 870 (2013)

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), S. 1170 - 1182 (2013)

Benner, P.; Kürschner, P.; Saak, J.: Efficient Handling of Complex Shift Parameters in the Low-Rank Cholesky Factor ADI method. Numerical Algorithms 62 (2), S. 225 - 251 (2013)

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), S. 593 - 615 (2013)

Benner, P.; Mach, T.: The Preconditioned Inverse Iteration for Hierarchical Matrices. Numerical Linear Algebra with Applications 20 (1), S. 150 - 166 (2013)

Benner, P.; Mach, T.: The LR Cholesky Algorithm for Symmetric Hierarchical Matrices. Linear Algebra and its Applications 439 (4), S. 1150 - 1166 (2013)

Benner, P.; Mena, H.: Rosenbrock Methods for Solving Riccati Differential Equations. IEEE Transactions on Automatic Control 58 (11), S. 2950 - 2956 (2013)

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), S. 32 - 52 (2013)

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 , S. S150 - S170 (2013)

Benner, P.; Tomljanović, Z.; Truhar, N.: Optimal Damping of Selected Eigenfrequencies Using Dimension Reduction. Numerical Linear Algebra with Applications 20 (1), S. 1 - 17 (2013)

Benner, P.; Voigt, M.: Spectral Characterization and Enforcement of Negative Imaginariness for Descriptor Systems. Linear Algebra and its Applications 439 (4), S. 1104 - 1129 (2013)

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), S. 84 - 110 (2013)

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), S. 2265 - 2274 (2013)

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), S. 198 - 216 (2013)

Yücel, H.; Stoll, M.; Benner, P.: Discontinuous Galerkin Finite Element Methods with Shock-Capturing for Nonlinear Convection Dominated Models. Computers and Chemical Engineering 58, S. 278 - 287 (2013)

Bechtold, T.; Schrag, G.; Feng, L. (Hg.): System-level Modeling of MEMS. Wiley-VCH, Weinheim (2013), 530 S.

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, S. 102 - 111 (Hg. Caragiannis, I.; Alexander, M.; Badia , R. M.; Cannataro, M.; Costan, A. et al.). Springer, Berlin/Heidelberg (2013)

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, S. 3 - 10 (Hg. Aversa, R.; Kołodziej , J.; Zhang , J.; Amato, F.; Fortino, G.). Springer, Cham (2013)

Benner, P.; Hein, S.: MPC/LQG for Infinite-Dimensional Systems Using Time-Invariant Linearizations. In: System Modeling and Optimization, S. 217 - 224 (Hg. Hömberg, D.; Tröltzsch, F.). Springer, Berlin, Heidelberg (2013)

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, S. 53 - 93 (Hg. Bechtold, T.; Schrag, G.; Feng, L.). Wiley-VCH, Weinheim (2013)

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, S. 189 - 212 (Hg. Koziel, S.; Leifsson, L.). Springer, New York (2013)

Köhler, M.; Saak, J.: A shared memory parallel implementation of the IRKA algorithm for H₂ model order reduction. In: Applied Parallel and Scientific Computing, Bd. 7782, S. 541 - 544. Springer, Berlin (2013)

Bajcinca, N.; Voigt, M.: Spectral Conditions for Symmetric Positive Real and Negative Imaginary Systems. In: 2013 - European Control Conference (ECC 2013), S. 809 - 814. European Control Conference 2013, Zuerich, Switzerland, 17. Juli 2013 - 19. Juli 2013. (2013)

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), S. 1 - 6. EuroSimE 2013 - 14th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems, Wroclaw, Poland, 14. April 2013 - 17. April 2013. (2013)

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, 25. September 2013 - 27. September 2013. IFAC Proceedings Volumes 46 (26), S. 257 - 262 (2013)

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, 18. März 2013 - 22. März 2013. Proceedings in Applied Mathematics and Mechanics 13 (1), S. 447 - 448 (2013)

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, S. 158 - 166. VI Latin American Symposium on High Performance Computing - HPCLatAm 2013, Mendoza, Argentina, 29. Juli 2013 - 30. Juli 2013. (2013)