Publications CSC group

Journal Article (395)

2014

Journal Article

Benner, P.; Kürschner, P.; Saak, J.: Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations. Electronic Transactions on Numerical Analysis 43, pp. 142 - 162 (2014)

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External

Journal Article

Benner, P.; Saak, J.; Schieweck, F.; Skrzypacz, P.; Weichelt, H. K.: A Non-Conforming Composite Quadrilateral Finite Element Pair for Feedback Stabilization of the Stokes Equations. Journal of Numerical Mathematics 22 (3), pp. 191 - 220 (2014)

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publisher-version

Journal Article

Benner, P.; Stykel, T.: Numerical Solution of Projected Algebraic Riccati Equations. SIAM Journal on Numerical Analysis 52 (2), pp. 581 - 600 (2014)

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publisher-version

Journal Article

Benner, P.; Voigt, M.: A Structured Pseudospectral Method for H_∞-Norm Computation of Large-Scale Descriptor Systems. Mathematics of Control, Signals, and Systems 26 (2), pp. 303 - 338 (2014)

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Journal Article

Bentley, J.; Li, S.; Kawajiri, Y.: Experimental Validation of Optimized Model-Based Startup Acceleration Strategies for Simulated Moving Bed Chromatography. Industrial and Engineering Chemistry Research 53 (30), pp. 12063 - 12076 (2014)

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Journal Article

Bosch, J.; Stoll, M.; Benner, P.: Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements. Journal of Computational Physics 262, pp. 38 - 57 (2014)

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Journal Article

Grundel, S.; Overton, M. L.: Variational Analysis of the Spectral Abscissa at a Matrix with a Nongeneric Multiple Eigenvalue. Set-Valued and Variational Analysis 22 (1), pp. 19 - 43 (2014)

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Journal Article

Hess, M. W.; Benner, P.: A Reduced Basis Method for Microwave Semiconductor Devices with Geometric Variations. COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 33 (4), pp. 1071 - 1081 (2014)

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Journal Article

Lang, N.; Saak, J.; Benner, P.: Model Order Reduction for Systems with Moving Loads. at - Automatisierungstechnik 62 (7), pp. 512 - 522 (2014)

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publisher-version

Journal Article

Li, S.; Feng, L.; Benner, P.; Seidel-Morgenstern, A.: Using Surrogate Models for Efficient Optimization of Simulated Moving Bed Chromatography. Computers and Chemical Engineering 67, pp. 121 - 132 (2014)

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Journal Article

Li, S.; Yue, Y.; Feng, L.; Benner, P.; Seidel-Morgenstern, A.: Model Reduction for Linear Simulated Moving Bed Chromatography Systems Using Krylov-Subspace Methods. AIChE-Journal 60 (11), pp. 3773 - 3783 (2014)

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Journal Article

Seymen, Z. K.; Yücel, H.; Karasözen, B.: Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization. Journal of Computational and Applied Mathematics 261, pp. 146 - 157 (2014)

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Journal Article

Yücel, H.; Karasözen, B.: Adaptive Symmetric Interior Penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints. Optimization 63 (1), pp. 145 - 166 (2014)

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2013

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)

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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)

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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)

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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)

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publisher-version

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)

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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)

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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)

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Journal Article

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

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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)

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Journal Article

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

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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)

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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 , pp. S150 - S170 (2013)

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publisher-version

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)

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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)

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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)

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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)

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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)

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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)

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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)

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publisher-version

Journal Article

Benner, P.; Mach, T.: Computing All or Some Eigenvalues of Symmetric ℋ_ℓ-Matrices. SIAM Journal on Scientific Computing 34 (1), pp. A485 - A496 (2012)

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publisher-version

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)

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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)

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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)

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publisher-version

Journal Article

Stoll, M.: A Krylov-Schur approach to the truncated SVD. Linear Algebra and its Applications 436 (8), pp. 2795 - 2806 (2012)

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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)

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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)

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publisher-version

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)

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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)

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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)

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publisher-version

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)

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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)

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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)

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Book (20)

2024

Book

Benner, P.; Faßbender, H.: Modellreduktion: Eine systemtheoretisch orientierte Einführung. Springer Spektrum, Berlin, Heidelberg (2024), XIV, 259 pp.

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2023

Book

Aschenbruck, T.; Dickert, J.; Esterhuizen, W.; Filipecki, B.; Grundel, S.; Helmberg, C.; Ritschel, T. K. S.; Sauerteig, P.; Streif, S.; Wasserrab, A. et al.; Worthmann, K.: Hierarchical Power Systems: Optimal Operation Using Grid Flexibilities. Springer, Cham (2023), VIII, 55 pp.

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Book

Benner, P.; Mena, H.; Schneider, R.: Numerical Simulation of Aerial Spray Drift: the Ecuador-Colombian Border as a Case of Study. Shaker. ISBN: 978-3-8440-9081-9, Aachen (2023), 188 pp.

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External

2022

Book

Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S. (Eds.): Realization and Model Reduction of Dynamical Systems. Springer International Publishing, Cham (2022), XIX, 460 pp.

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2021

Book

Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M. (Eds.): Model Order Reduction: Volume I: System- and Data-Driven Methods and Algorithms. De Gruyter, Berlin, Boston (2021)

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publisher-version