Journal Article (212)

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 (11)

2020
Book
Benner, P.; Schilders, W.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Silveira, L. M. (Eds.): Model Order Reduction. De Gruyter (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 (81)

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.; Faßbender, H.: Model Order Reduction: Techniques and Tools. In: Encyclopedia of Systems and Control (Eds. Baillieul, J.; Samad, T.). Springer, London (accepted)
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, Chur, 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, Chur, Switzerland (accepted)
Book Chapter
Benner, P.; Richter, T.; Weinhandl, R.: A Low-rank Approach for Nonlinear Parameter-dependent Fluid-structure Interaction Problems. In: European Numerical Mathematics and Advanced Applications Conference 2019, ENUMATH 2019, September 30 - October 4, 2019, Egmond aan Zee, The Netherlands. Springer (accepted)
Book Chapter
Benner, P.; Trautwein, C.: Optimal Control of the Stochastic Navier-Stokes Equations. In: Infinite Dimensional and Finite Dimensional Stochastic Equations and Applications in Physics, pp. 161 - 211 (Eds. Grecksch, W.; Lisei, H.). World Scientific (2020)
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 ReductionFramework 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)
Book Chapter
Chellappa, S.; Feng, L.; Benner, P.: An Adaptive Sampling Approach for the Reduced Basis Method. In: Realization and Model Reduction of Dynamical Systems – A Festschrift in Honor of 70th Birthday of Thanos Antoulas (Eds. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer (accepted)
Book Chapter
Gosea, I. V.; Pontes Duff, I.; Benner, P.; Antoulas, A. C.: Model Order Reduction of Switched Linear Systems with Constrained Switching. In: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018, pp. 41 - 53 (Eds. Fehr, J.; Haasdonk, B.) (2020)
Book Chapter
Henning, J.; Palitta, D.; Simoncini, V.; Urban, K.: Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems. In: European Numerical Mathematics and Advanced Applications Conference 2019, ENUMATH 2019, September 30 - October 4, 2019, Egmond ann Zee, The Netherlands. Springer (accepted)
Book Chapter
Kalosha, J.; Zuyev, A.; Benner, P.: On the Eigenvalue Distribution for a Beam with Attached Masses. In: Stabilization of Distributed Parameter Systems: Design Methods and Applications (Eds. Sklyar, G.; Zuyev, A.). Springer (accepted)
Book Chapter
Mlinarić, P.; Rave, S.; Saak, J.: Parametric Model Order Reduction using pyMOR. In: Model Reduction of Complex Dynamical Systems (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser / Springer Nature, Chur, Switzerland (accepted)
Book Chapter
Pontes Duff, I.; Goyal, P. K.; Benner, P.: Data-Driven Identification of Rayleigh-Damped Second-Order Systems. In: Realization and Model Reduction of Dynamical Systems - A Festschrift in Honor of 70th Birthday of Thanos Antoulas (Eds. Beattie, C.; Benner, P.; Embree, M.) (accepted)
Book Chapter
Rave, S.; Saak, J.: An Instationary Thermal-Block Benchmark Model 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, Chur, Switzerland (accepted)
Book Chapter
Zuyev, A.; Benner, P.: Stabilization of Crystallization Models Governed by Hyperbolic Systems. In: Stabilization of Distributed Parameter Systems: Design Methods and Applications (Eds. Sklyar, G.; Zuyev, A.). Springer (accepted)
2019
Book Chapter
Altmann, R.; Heiland, J.: Continuous, Semi-discrete, and Fully Discretized Navier-Stokes Equations. In: Applications of Differential-Algebraic Equations: Examples and Benchmarks, pp. 277 - 312. Springer, Cham, Switzerland (2019)
Book Chapter
Banagaaya, N.; Benner, P.; Grundel, S.: Index-Preserving Model Order Reduction for Differential-Algebraic Systems Arising in Gas Transport Networks. In: Progress in Industrial Mathematics at ECMI 2018, pp. 291 - 297 (Eds. Faragó, I.; Izsák, F.; Simon, P.) (2019)
Book Chapter
Banagaaya, N.; Feng, L.; Benner, P.: Sparse (P)MOR for Electro-Thermal Coupled Problems with Many Inputs. In: Nanoelectronic Coupled Problems Solutions, pp. 311 - 328 (Eds. ter Maten, E. J. W.; Brachtendorf, H.-G.; Pulch, R.; Schoenmaer, W.; De Gersem, H.). Springer, Cham, Switzerland (2019)
Book Chapter
Benner, P.; Grundel, S.; Himpe, C.; Huck, C.; Streubel, T.; Tischendorf, C.: Gas Network Benchmark Models. In: Applications of Differential-Algebraic Equations: Examples and Benchmarks, pp. 171 - 197 (Eds. Campbell, S.; Ilchmann, A.; Mehrmann, V.; Reis, T.). Springer International Publishing, Cham, Switzerland (2019)
Book Chapter
Feng, L.; Benner, P.: Parametric Model Order Reduction for Electro-Thermal Coupled Problems. In: Nanoelectronic Coupled Problems Solutions, pp. 293 - 309 (Eds. ter Maten, E. J. W.; Brachtendorf, H.-G.; Pulch, R.; Schoenmaer, W.; De Gersem, H.). Springer, Cham, Switzerland (2019)
Book Chapter
Sima, V.; Benner, P.: Computational Experience with a Modified Newton Solver for Discrete-Time Algebraic Riccati Equations. In: Informatics in Control, Automation and Robotics: 15th International Conference, ICINCO 2018, Porto, Portugal, July 29-31, 2018, Revised Selected Papers, pp. 142 - 167 (Eds. Gusikhin, O.; Madani, K.). Springer, Cham, Switzerland (2019)
Book Chapter
Yue, Y.; Feng, L.; Benner, P.; Pulch, R.; Schöps, S.: Reduced Models and Uncertainty Quantification. In: Nanoelectronic Coupled Problems Solutions, pp. 329 - 346 (Eds. ter Maten, E. J. W.; Brachtendorf, H.-G.; Pulch, R.; Schoenmaer, W.; De Gersem, H.). Springer, Cham, Switzerland (2019)
2018
Book Chapter
Banagaaya, N.; Feng, L.; Schoenmaker, W.; Meuris, P.; Gillon, R.; Benner, P.: Sparse Model Order Reduction for Electro-Thermal Problems with Many Inputs. In: Scientific Computing in Electrical Engineering, pp. 189 - 202 (Eds. Langer, U.; Amrhein, W.; Zulehner, W.) (2018)
Book Chapter
Benner, P.; Braukmüller, M.; Grundel, S.: A Direct Index 1 DAE Model of Gas Networks. In: Reduced-Order Modeling (ROM) for Simulation and Optimization, pp. 99 - 119 (Eds. Keiper, W.; Milde, A.; Volkwein, S.). Springer International Publishing, Cham, Switzerland (2018)
Book Chapter
Benner, P.; Goyal, P. K.: An Iterative Model Reduction Scheme for Quadratic-Bilinear Descriptor Systems with an Application to Navier-Stokes Equations. In: Reduced-Order Modeling for Simulation and Optimization, pp. 1 - 19 (Eds. Keiper, W.; Milde, A.; Volkwein, S.). Springer International Publishing, Cham, Switzerland (2018)
Book Chapter
Benner, P.; Köhler, M.; Penke, C.: GPU-Accelerated and Storage-Efficient Implementation of the QR Decomposition. In: Parallel Computing is Everywhere, Vol. 32, pp. 329 - 338 (Eds. Bassini, S.; Danelutto, M.; Dazzi, P.; Joubert, G. R.; Peters, F.). IOS Press, Amsterdam [et al.] (2018)
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