Journal Article (290)

251.
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)
252.
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)
253.
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)
254.
Journal Article
Lang, N.; Saak, J.; Benner, P.: Model Order Reduction for Systems with Moving Loads. at - Automatisierungstechnik 62 (7), pp. 512 - 522 (2014)
255.
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)
256.
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)
257.
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)
258.
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)
259.
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)
260.
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)
261.
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)
262.
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)
263.
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)
264.
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)
265.
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)
266.
Journal Article
Benner, P.; Mach, T.: The Preconditioned Inverse Iteration for Hierarchical Matrices. Numerical Linear Algebra with Applications 20 (1), pp. 150 - 166 (2013)
267.
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)
268.
Journal Article
Benner, P.; Mena, H.: Rosenbrock Methods for Solving Riccati Differential Equations. IEEE Transactions on Automatic Control 58 (11), pp. 2950 - 2956 (2013)
269.
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)
270.
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)
271.
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)
272.
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)
273.
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)
274.
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)
275.
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)
276.
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)
277.
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)
278.
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)
279.
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)
280.
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)
281.
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)
282.
Journal Article
Stoll, M.: A Krylov-Schur approach to the truncated SVD. Linear Algebra and its Applications 436 (8), pp. 2795 - 2806 (2012)
283.
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)
284.
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)
285.
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)
286.
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)
287.
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)
288.
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)
289.
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)
290.
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 (17)

291.
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.
292.
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)
293.
Book
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M. (Eds.): Model Order Reduction - Volume 2: Snapshot-Based Methods and Algorithms. De Gruyter, Berlin, Boston (2021)
294.
Book
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M. (Eds.): Model Order Reduction: Volume 3: Applications. De Gruyter, Berlin, Boston (2021)
295.
Book
Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T.; Zimmermann, R. (Eds.): Model Reduction of Complex Dynamical Systems. Birkhäuser/Springer Nature, Cham (2021), XIII, 415 pp.
296.
Book
Sklyar, G.; Zuyev, A. (Eds.): Stabilization of Distributed Parameter Systems: Design Methods and Applications. Springer International Publishing, Cham, Switzerland (2021)
297.
Book
Reis, T.; Grundel, S.; Schöps, S. (Eds.): Progress in Differential-Algebraic Equations II. Springer, Cham (2020)
298.
Book
Benner, P.; Cohen, A.; Ohlberger, M.; Willcox, K. (Eds.): Model Reduction and Approximation. SIAM, Philadelphia (2017), 412 pp.
299.
Book
Benner, P. (Ed.): System Reduction for Nanoscale IC Design. Springer International Publishing, Cham (2017), 193 pp.
300.
Book
Benner, P.; Ohlberger, M.; Patera, A. T.; Rozza, G.; Urban, K. (Eds.): Model Reduction of Parametrized Systems. Springer International Publishing, Cham (2017), 504 pp.
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