Publications

Journal Article (28)

1. 1.
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   Ahmad, M. I.; Benner, P.; Goyal, P. K.: Krylov Subspace-Based Model Reduction for a Class of Bilinear Descriptor Systems. Journal of Computational and Applied Mathematics 315, pp. 303 - 318 (2017)
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   Ahmad, M. I.; Benner, P.; Goyal, P. K.; Heiland, J.: Moment-Matching Based Model Reduction for Navier–Stokes Type Quadratic-Bilinear Descriptor Systems. Zeitschrift für Angewandte Mathematik und Mechanik 97 (10), pp. 1252 - 1267 (2017)
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   Ahmad, M. I.; Szyld, D. B.; van Gijzen, M. B.: Preconditioned Multishift BiCG for H₂-Optimal Model Reduction. SIAM Journal on Matrix Analysis and Applications 38 (2), pp. 401 - 424 (2017)
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   Ahmad, M. I.; Baur, U.; Benner, P.: Implicit Volterra Series Interpolation for Model Reduction of Bilinear Systems. Journal of Computational and Applied Mathematics 316, pp. 15 - 28 (2017)
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   Aliyev, N.; Benner, P.; Mengi, E.; Schwerdtner, P.; Voigt, M.: Large-Scale Computation of L_∞-Norms by a Greedy Subspace Method. SIAM Journal on Matrix Analysis and Applications 38 (4), pp. 1496 - 1516 (2017)
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   Altmann, R.; Heiland, J.: Simulation of Multibody Systems With Servo Constraints Through Optimal Control. Multibody System Dynamics 40 (1), pp. 75 - 98 (2017)
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   Anzt, H.; Gates, M.; Dongarra, J.; Kreutzer, M.; Wellein, G.; Köhler, M.: Preconditioned Krylov Solvers on GPUs. Parallel Computing 68, pp. 32 - 44 (2017)
8. 8.
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   Banagaaya, N.; Benner, P.; Feng, L.; Meuris, P.; Schoenmaker, W.: An Index-Aware Parametric Model Order Reduction Method for Parameterized Quadratic Differential–Algebraic Equations. Applied Mathematics and Computation 319, pp. 409 - 424 (2017)
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   Benner, P.; Hossain, M.-S.: Structure Preserving Iterative Methods for Periodic Projected Lyapunov Equations and their Application in Model Reduction of Periodic Descriptor Systems. Numerical Algorithms 76 (4), pp. 881 - 904 (2017)
10. 10.
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    Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Extending the Gauss–Huard Method for the Solution of Lyapunov Matrix Equations and Matrix Inversion. Concurrency and Computation: Practice and Experience 29 (9), e4076 (2017)
11. 11.
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    Benner, P.; Yücel, H.: Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems. SIAM Journal on Numerical Analysis 55 (2), pp. 1101 - 1133 (2017)
12. 12.
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    Benner, P.; Denißen, J.; Kohaupt, L.: Trigonometric Spline and Spectral Bounds for the Solution of Linear Time-Periodic Systems. Journal of Applied Mathematics and Computing 54 (1), pp. 127 - 157 (2017)
13. 13.
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    Benner, P.; Dolgov, S.; Khoromskaia, V.; Khoromskij, B. N.: Fast Iterative Solution of the Bethe–Salpeter Eigenvalue Problem Using Low-Rank and QTT Tensor Approximation. Journal of Computational Physics 334, pp. 221 - 239 (2017)
14. 14.
    MPG.PuRe

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    Benner, P.; Damm, T.; Rodriguez Cruz, Y. R.: Dual Pairs of Generalized Lyapunov Inequalities and Balanced Truncation of Stochastic Linear Systems. IEEE Transactions on Automatic Control 62 (2), 7478646, pp. 782 - 791 (2017)
15. 15.
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    Bremer, J.; Goyal, P. K.; Feng, L.; Benner, P.; Sundmacher, K.: POD-DEIM for Efficient Reduction of a Dynamic 2D Catalytic Reactor Model. Computers & Chemical Engineering 106, pp. 777 - 784 (2017)
16. 16.
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    Chen, J.; Grundel, S.; Yu, T. P. Y.: A Flexible C² Subdivision Scheme on the Sphere: With Application to Biomembrane Modelling. SIAM Journal on Applied Algebra and Geometry 1 (1), pp. 459 - 483 (2017)
17. 17.
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    Curtis, F. E.; Mitchell, T.; Overton, M. L.: A BFGS-SQP Method for Nonsmooth, Nonconvex, Constrained Optimization and its Evaluation using Relative Minimization Profiles. Optimization Methods and Software 32 (1), pp. 148 - 181 (2017)
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    Damm, T.; Benner, P.; Hauth, J.: Computing the Stochastic H^∞-Norm by a Newton Iteration. IEEE Control Systems Letters 1 (1), pp. 92 - 97 (2017)
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    Eaton, J.; Grundel, S.; Gürbüzbalaban, M.; Overton, M. L.: Polynomial Root Radius Optimization with Affine Constraints. Mathematical Programming / A 165 (2), pp. 509 - 528 (2017)
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    Feng, L.; Mangold, M.; Benner, P.: Adaptive POD–DEIM Basis Construction and its Application to a Nonlinear Population Balance System. AIChE Journal 63 (9), pp. 3832 - 3844 (2017)
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    Feng, L.; Antoulas, A. C.; Benner, P.: Some a Posteriori Error Bounds for Reduced-Order Modelling of (Non-) Parametrized Linear Systems. ESAIM: Mathematical Modelling and Numerical Analysis 51 (6), pp. 2127 - 2158 (2017)
22. 22.
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    Grushkovskaya , V. V.; Zuyev, A.: Two-Point Problem for Systems Satisfying the Controllability Condition with Lie Brackets of the Second Order. Journal of Mathematical Sciences 220 (3), pp. 301 - 317 (2017)
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    Guglielmi, N.; Gürbüzbalaban, M.; Mitchell, T.; Overton, M. L.: Approximating the Real Structured Stability Radius with Frobenius Norm Bounded Perturbations. SIAM Journal on Matrix Analysis and Applications 38 (4), pp. 1323 - 1353 (2017)
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    Khoromskaia, V.; Khoromskij, B. N.: Block Circulant and Toeplitz Structures in the Linearized Hartree–Fock Equation on Finite Lattices: Tensor Approach. Computational Methods in Applied Mathematics 17 (3), pp. 431 - 455 (2017)
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    Redmann, M.; Benner, P.: An H₂-Type Error Bound for Balancing-Related Model Order Reduction of Linear Systems with Lévy Noise. Systems & Control Letters 105, pp. 1 - 5 (2017)
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    Zhang, Y.; Feng, L.; Seidel-Morgenstern, A.; Benner, P.: Accelerating Optimization and Uncertainty Quantification of Nonlinear SMB Chromatography Using Reduced-Order Models. Computers & Chemical Engineering 96, pp. 237 - 247 (2017)
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    Zuyev, A.; Grushkovskaya, V.: Motion Planning for Control-Affine Systems Satisfying Low-Order Controllability Conditions. International Journal of Control 90 (11), pp. 2517 - 2537 (2017)
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    Zuyev, A.; Seidel-Morgenstern, A.; Benner, P.: An Isoperimetric Optimal Control Problem for a Non-Isothermal Chemical Reactor with Periodic Inputs. Chemical Engineering Science 161, pp. 206 - 214 (2017)

Book (3)

1. 29.
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   Book

   Benner, P. (Ed.): System Reduction for Nanoscale IC Design. Springer International Publishing, Cham, Switzerland (2017), 193 pp.
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   Book

   Benner, P.; Cohen, A.; Ohlberger, M.; Willcox, K. (Eds.): Model Reduction and Approximation. SIAM, Philadelphia (2017), 412 pp.
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   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.

Book Chapter (10)

1. 32.
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   Banagaaya, N.; Benner, P.; Feng, L.: Parametric Model Order Reduction for Electro-Thermal Coupled Problems with Many Inputs. In: Progress in Industrial Mathematics at ECMI 2016, pp. 263 - 270 (Eds. Quintela, P.; Barral, P.; Gómez, D.; Pena, F. J.; Rodríguez, J. et al.). Springer International Publishing, Cham, Switzerland (2017)
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   Baur, U.; Benner, P.; Haasdonk, B.; Himpe, C.; Martini, I.; Ohlberger, M.: Comparison of Methods for Parametric Model Order Reduction of Time-Dependent Problems. In: Model Reduction and Approximation, pp. 377 - 407 (Eds. Benner, P.; Cohen, A.; Ohlberger, M.; Willcox, K.). SIAM, Philadelphia, PA (2017)
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   Benner, P.; Schneider, A.: Reduced Representation of Power Grid Models. In: System Reduction for Nanoscale IC Design, pp. 87 - 134 (Ed. Benner, P.). Springer, Cham, Switzerland (2017)
4. 35.
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   Benner, P.; Stykel, T.: Model Order Reduction for Differential-Algebraic Equations: A Survey. In: Surveys in Differential-Algebraic Equations IV, Differential-Algebraic Equations Forum, pp. 107 - 160 (Eds. Ilchmann, A.; Reis, T.). Springer International Publishing, Cham, Switzerland (2017)
5. 36.
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   Benner, P.; Breiten, T.: Model Order Reduction Based on System Balancing. In: Model Reduction and Approximation, pp. 261 - 295 (Eds. Benner, P.; Cohen, A.; Ohlberger, M.; Willcox, K.). SIAM, Philadelphia, PA (2017)
6. 37.
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   Benner, P.; Goyal, P. K.; Redmann, M.: Truncated Gramians for Bilinear Systems and their Advantages in Model Order Reduction. In: Model Reduction of Parametrized Systems, pp. 285 - 300 (Eds. Benner, P.; Ohlberger, M.; Patera, A.; Rozza, G.; Urban, K.). Springer, Cham, Switzerland (2017)
7. 38.
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   Benner, P.; Hess, M. W.: Reduced Basis Approximations for Maxwell’s Equations in Dispersive Media. In: Model Reduction of Parametrized Systems, pp. 107 - 119 (Eds. Benner, P.; Ohlberger, M.; Patera, A.; Rozza, G.; Urban, K.). Springer, Cham, Switzerland (2017)
8. 39.
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   Benner, P.; Dufrechou, E.; Ezzatti, P.; Mena, H.; Quintana-Ortí, E. S.; Remón, A.: Solving Sparse Differential Riccati Equations on Hybrid CPU-GPU Platforms. In: Computational Science and Its Applications - ICCSA 2017: 17th International Conference, Trieste, Italy, July 3-6, 2017, Proceedings, Part I, pp. 116 - 132 (Eds. Gervasi, O.; Murgante, B.; Misra, S.; Borruso, G.; Torre, C. M. et al.). Springer, Cham (2017)
9. 40.
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   Feng, L.; Antoulas, A. C.; Benner, P.: Automatic Generation of Reduced Order Models for Linear Parametric Systems. In: Progress in Industrial Mathematics at ECMI 2014, pp. 811 - 818 (Eds. Russo, G.; Capasso, V.; Nicosia, G.; Romano, V.). Springer International Publishing, Cham, Switzerland (2017)
10. 41.
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    Janssen, H. H. J. M.; Benner, P.; Bittner, K.; Brachtendorf, H.-G.; Feng, L.; ter Maten, E. J. W.; Pulch, R.; Schoenmaker, W.; Schöps, S.; Tischendorf, C.: The European Project nanoCOPS for Nanoelectronic Coupled Problems Solutions. In: Progress in Industrial Mathematics at ECMI 2014, pp. 835 - 842 (Eds. Russo, G.; Capasso, V.; Nicosia, G.; Romano, V.). Springer International Publishing, Cham, Switzerland (2017)

Conference Paper (19)

1. 42.
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   Aliyev, N.; Benner, P.; Mengi, E.; Schwerdtner, P.; Voigt, M.: A Greedy Subspace Method for Computing the L_∞-Norm. 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Weimar, Germany, March 06, 2017 - March 10, 2017. Proceedings in Applied Mathematics and Mechanics 17, pp. 751 - 752 (2017)
2. 43.
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   Baran, B.; Benner, P.; Heiland, J.; Saak, J.: Towards Riccati-Feedback Control of Complex Flows with Moving Interfaces. 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Weimar, Germany, March 06, 2017 - March 10, 2017. Proceedings in Applied Mathematics and Mechanics 17 (1), pp. 769 - 770 (2017)
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   Benner, P.; Dufrechou, E.; Ezzatti, P.; Remón, A.: Studying Mixed Precision Techniques for the Solution of Algebraic Riccati Equations. In: Book of Abstracts of 2nd Workshop on Power-Aware Computing, Ringberg Castle, pp. 1 - 6. 2nd Workshop on Power-Aware Computing, Ringberg Castle, Ringberg Castle, Germany, July 05, 2017 - July 08, 2017. (2017)
4. 45.
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   Benner, P.; Köhler, M.; Penke, C.: GPU-Accelerated Implementation of the Storage-Efficient QR Decomposition. In: Book of Abstracts of 2nd Workshop on Power-Aware Computing, Ringberg Castle, pp. 1 - 6. 2nd Workshop on Power-Aware Computing, Ringberg Castle, Ringberg Castle, Germany, July 05, 2017 - July 08, 2017. (2017)
5. 46.
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   Benner, P.; Saak, J.; Uddin, M. M.: Reduced-Order Modeling of Index-1 Vibrational Systems Using Interpolatory Projections. In: Proceedings of the 19th International Conference on Computer and Information Technology (ICCIT), pp. 134 - 138. 19th International Conference on Computer and Information Technology , Dhaka, Bangladesh, December 18, 2016 - December 20, 2016. (2017)
6. 47.
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   Benner, P.; Seidel-Morgenstern, A.; Zuyev, A.: Computation of Periodic Switching Strategies for the Optimal Control of Chemical Reactions. In: Mathematical and Numerical Aspects of Dynamical System Analysis, pp. 59 - 66 (Eds. Awrejcewicz, J.; Kazmierczak, M.; Mrozowski, J.; Olejnik, P.). 14th International Conference Dynamical Systems - Theory and Applications, Łódź, Poland, December 11, 2017 - December 14, 2017. Department of Automation, Biomechanics and Mechatronics, Łódź (2017)
7. 48.
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   Benner, P.; Heiland, J.: Nonlinear Feedback Stabilization of Incompressible Flows via Updated Riccati-based Gains. In: 2017 IEEE 56th Annual Conference on Decision and Control (CDC), pp. 1163 - 1168. 2017 IEEE 56th Annual Conference on Decision and Control (CDC), Melbourne, Australia, December 12, 2017 - December 15, 2017. (2017)
8. 49.
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   Benner, P.; Werner, S. W. R.: On the Transformation Formulas of the Hankel-Norm Approximation. 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) , Weimar, Germany, March 06, 2017 - March 10, 2017. Proceedings in Applied Mathematics and Mechanics 17 (1), pp. 823 - 824 (2017)
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   Benner, P.; Heiland, J.: Convergence of Approximations to Riccati-based Boundary-feedback Stabilization of Laminar Flows. IFAC World Congress 2017, Toulouse, France, July 09, 2017 - July 14, 2017. IFAC-PapersOnLine 50 (1), pp. 12296 - 12300 (2017)