Journal Article (228)

2013
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)
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)
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)
Journal Article
Benner, P.; Mach, T.: The Preconditioned Inverse Iteration for Hierarchical Matrices. Numerical Linear Algebra with Applications 20 (1), pp. 150 - 166 (2013)
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)
Journal Article
Benner, P.; Mena, H.: Rosenbrock Methods for Solving Riccati Differential Equations. IEEE Transactions on Automatic Control 58 (11), pp. 2950 - 2956 (2013)
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)
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)
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)
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)
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)
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)
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)
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)
2012
Journal Article
Benner, P.; Breiten, T.: Interpolation-Based H2-Model Reduction of Bilinear Control Systems. SIAM Journal on Matrix Analysis and Applications 33 (3), pp. 859 - 885 (2012)
Journal Article
Benner, P.; Mach, T.: Computing All or Some Eigenvalues of Symmetric ℋ-Matrices. SIAM Journal on Scientific Computing 34 (1), pp. A485 - A496 (2012)
Journal Article
Benner, P.; Sima, V.; Voigt, M.: L-Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils. IEEE Transactions on Automatic Control 57 (1), pp. 233 - 238 (2012)
Journal Article
Blank, L.; Sarbu, L.; Stoll, M.: Preconditioning for Allen-Cahn variational inequalities with non-local constraints. Journal of Computational Physics 231 (16), pp. 5406 - 5420 (2012)
Journal Article
Pearson, J. W.; Stoll, M.; Wathen, A. J.: Regularization-Robust Preconditioners for Time-Dependent PDE-Constrained Optimization Problems. SIAM Journal on Matrix Analysis and Applications 33 (4), pp. 1126 - 1152 (2012)
Journal Article
Stoll, M.: A Krylov-Schur approach to the truncated SVD. Linear Algebra and its Applications 436 (8), pp. 2795 - 2806 (2012)
Journal Article
Uddin, M. M.; Saak, J.; Kranz, B.; Benner, P.: Computation of a Compact State Space Model for an Adaptive Spindle Head Configuration with Piezo Actuators using Balanced Truncation. Production Engineering 6 (6), pp. 577 - 586 (2012)
2011
Journal Article
Baur, U.; Beattie, C.; Benner, P.; Gugercin, S.: Interpolatory Projection Methods for Parameterized Model Reduction. SIAM Journal on Scientific Computing 33 (5), pp. 2489 - 2518 (2011)
Journal Article
Benner, P.; Breiten, T.; Damm, T.: Generalized Tangential Interpolation for Model Reduction of Discrete-Time MIMO Bilinear Systems. International Journal of Control 84 (8), pp. 1398 - 1407 (2011)
Journal Article
Benner, P.; Byers, R.; Losse, P.; Mehrmann, V.; Xu, H.: Robust Formulas for Optimal H Controllers. Automatica 47 (12), pp. 2639 - 2646 (2011)
Journal Article
Benner, P.; Damm, T.: Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems. SIAM Journal on Control and Optimization 49 (2), pp. 686 - 711 (2011)
Journal Article
Benner, P.; Ezzatti, P.; Kressner, D.; Quintana-Ortí, E. S.; Remón, A.: A Mixed-Precision Algorithm for the Solution of Lyapunov Equations on Hybrid CPU-GPU Platforms. Parallel Computing 37 (8), pp. 439 - 450 (2011)
Journal Article
Benner, P.; Faßbender, H.: On the Numerical Solution of Large-Scale Sparse Discrete-Time Riccati Equations. Advances in Computational Mathematics 35 (2-4), pp. 119 - 147 (2011)
Journal Article
Benner, P.; Saak, J.: Efficient Balancing-Based MOR for Large-Scale Second-Order Systems. Mathematical and Computer Modelling of Dynamical Systems 17 (2), pp. 123 - 143 (2011)

Book (16)

2021
Book
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M. (Eds.): Model Order Reduction. De Gruyter (2021)
Book
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M. (Eds.): Model Order Reduction. De Gruyter (2021)
Book
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M. (Eds.): Model Order Reduction. De Gruyter (2021)
2020
Book
Reis, T.; Grundel, S.; Schöps, S. (Eds.): Progress in Differential-Algebraic Equations II. Springer, Cham (2020)
Book
Sklyar, G.; Zuyev, A. (Eds.): Stabilization of Distributed Parameter Systems: Design Methods and Applications. (accepted)
Book
Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T.; Zimmermann, R. (Eds.): Model Reduction of Complex Dynamical Systems. Birkhäuser/Springer Nature, Cham, Switzerland (accepted)
2017
Book
Benner, P.; Cohen, A.; Ohlberger, M.; Willcox, K. (Eds.): Model Reduction and Approximation. SIAM, Philadelphia (2017), 412 pp.
Book
Benner, P. (Ed.): System Reduction for Nanoscale IC Design. Springer International Publishing, Cham, Switzerland (2017), 193 pp.
Book
Benner, P.; Ohlberger, M.; Patera, A. T.; Rozza, G.; Urban, K. (Eds.): Model Reduction of Parametrized Systems. Springer International Publishing, Cham, Switzerland (2017), 504 pp.
2016
Book
Banagaaya, N.; Ali, G.; Schilders, W. H. A.: Index-aware Model Order Reduction Methods. Atlantis Press, Paris (2016), 86 pp.
2015
Book
Benner, P.; Bollhöfer, M.; Kressner, D.; Mehl, C.; Stykel, T. (Eds.): Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory. Springer International Publishing, Cham (2015), 608 pp.
2014
Book
Benner, P.; Findeisen, R.; Flockerzi, D.; Reichl, U.; Sundmacher, K. (Eds.): Large-Scale Networks in Engineering and Life Sciences. Springer International Publishing, Switzerland (2014), 388 pp.
Book
Leugering, G.; Benner, P.; Engell, S.; Griewank, A.; Harbrecht, H.; Hinze, M.; Rannacher, R.; Ulbrich, S. (Eds.): Trends in PDE Constrained Optimization. Birkhäuser, Basel (2014), 501 pp.
Book
Benner, P.; Mena, H.; Schneider, R.: Modelo para las aspersiones con glifosato: frontera Ecuador-Colombia. Shaker Verlag, Aachen (2014), 208 pp.
2013
Book
Bechtold, T.; Schrag, G.; Feng, L. (Eds.): System-level Modeling of MEMS. Wiley-VCH, Weinheim (2013), 530 pp.
2011
Book
Benner, P.; Hinze, M.; ter Maten, E. J. W. (Eds.): Model Reduction for Circuit Simulation. Springer, Dordrecht (2011), 315 pp.

Book Chapter (85)

2021
Book Chapter
Gräßle, C.; Hinze, M.; Volkwein, S.: Model Order Reduction by Proper Orthogonal Decomposition. In: Model Order Reduction: Volume 2: Snapshot-Based Methods and Algorithms, pp. 47 - 96 (Eds. Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W. et al.). De Gruyter (2021)
2020
Book Chapter
Banagaaya, N.; Grundel, S.; Benner, P.: Index-Aware MOR for Gas Transport Networks. In: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018, pp. 191 - 207 (Eds. Fehr, J.; Haasdonk, B.). Springer International Publishing, Cham, Switzerland (2020)
Book Chapter
Benner, P.; Grundel, S.; Mlinarić, P.: Clustering-Based Model Order Reduction for Nonlinear Network Systems. In: Model Reduction of Complex Dynamical Systems (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser/Springer Nature, Cham, Switzerland (accepted)
Book Chapter
Benner, P.; Köhler, M.; Saak, J.: Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1 -- Philosophy, Features and Application for (Parametric) Model Order Reduction. In: Model Reduction of Complex Dynamical Systems (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser/Springer Nature, Cham, Switzerland (accepted)
Book Chapter
Benner, P.; Werner, S. W. R.: MORLAB – The Model Order Reduction LABoratory. In: Model Reduction of Complex Dynamical Systems (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser/Springer Nature, Cham, Switzerland (accepted)
Book Chapter
Benner, P.; Werner, S. W. R.: MORLAB – A Model Order Reduction Framework in MATLAB & Octave. In: Mathematical Software - ICMS 2020: 7th International Conference, Braunschweig, Germany, July 13–16, 2020, Proceedings, Vol. 12097, pp. 432 - 441 (Eds. Bigatti, A. M.; Carette, J.; Davenport, J. H.; Joswig, M.; de Wolff, T.). Springer International Publishing, Cham (2020)
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