Veröffentlichungen

Zeitschriftenartikel (23)

1.
Zeitschriftenartikel
Aliyev, N.; Benner, P.; Mengi, E.; Voigt, M.: A Subspace Framework for H-Norm Minimization. SIAM Journal on Matrix Analysis and Applications 41 (2), S. 928 - 956 (2020)
2.
Zeitschriftenartikel
Benner, P.; Bujanović, Z.; Kürschner, P.; Saak, J.: A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems. SIAM Journal on Scientific Computing 42 (2), S. A957 - A996 (2020)
3.
Zeitschriftenartikel
Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Low-Rank Solution of an Optimal Control Problem constrained by Random Navier-Stokes Equations. International Journal for Numerical Methods in Fluids 92 (11), S. 1653 - 1678 (2020)
4.
Zeitschriftenartikel
Benner, P.; Du, X.; Yang, G.; Ye, D.: Balanced truncation of linear time-invariant systems over finite-frequency ranges. Advances in Computational Mathematics 46, 82, 34 pages (2020)
5.
Zeitschriftenartikel
Benner, P.; Goyal, P. K.; Kramer, B.; Peherstorfer, B.; Willcox, K.: Operator Inference for Non-Intrusive Model Reduction of Systems with Non-Polynomial Nonlinear Terms. Computer Methods in Applied Mechanics and Engineering 372, 113433, 17 pages (2020)
6.
Zeitschriftenartikel
Benner, P.; Goyal, P. K.; Van Dooren, P.: Identification of Port-Hamiltonian Systems from Frequency Response Data. Systems & Control Letters 143, 104741, 9 pages (2020)
7.
Zeitschriftenartikel
Benner, P.; Trautwein, C.: Optimal Distributed and Tangential Boundary Control for the Unsteady Stochastic Stokes Equations. ESAIM: Control, Optimisation and Calculus of Variations 26, 62, 32 pages (2020)
8.
Zeitschriftenartikel
Benner, P.; Werner, S. W. R.: Hankel-Norm Approximation of Large-Scale Descriptor Systems. Advances in Computational Mathematics 46 (3), 40, 31 pages (2020)
9.
Zeitschriftenartikel
Benner, P.; Breiten, T.; Hartmann, C.; Schmidt, B.: Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations. Journal of Computational Dynamics 7 (1), S. 1 - 33 (2020)
10.
Zeitschriftenartikel
Benner, P.; Heinkenschloss, M.; Saak, J.; Weichelt, H. K.: Efficient Solution of Large-Scale Algebraic Riccati Equations Associated with Index-2 DAEs via the Inexact Low-Rank Newton-ADI Method. Applied Numerical Mathematics 152, S. 338 - 354 (2020)
11.
Zeitschriftenartikel
Chellappa, S.; Feng, L.; Benner, P.: Adaptive Basis Construction and Improved Error Estimation for Parametric Nonlinear Dynamical Systems. International Journal for Numerical Methods in Engineering: Special Issue: Credible High-Fidelity and Low-Cost Simulations in Computational Engineering 121 (23), S. 5320 - 5349 (2020)
12.
Zeitschriftenartikel
Khoromskaia, V.; Khoromskij, B.; Otto, F.: Numerical Study in Stochastic Homogenization for Elliptic Partial Differential Equations: Convergence Rate in the Size of Representative Volume Elements. Numerical Linear Algebra with Applications 27 (3), e2296, 23 pages (2020)
13.
Zeitschriftenartikel
Kweyu, C. M.; Feng, L.; Stein, M.; Benner, P.: Fast Solution of the Linearized Poisson-Boltzmann Equation with nonaffine Parametrized Boundary Conditions Using the Reduced Basis Method. Computing and Visualization in Science 23 (1-4), 15, 19 pages (2020)
14.
Zeitschriftenartikel
Lin, L.-G.; Xin, M.: Nonlinear Control of Two-Wheeled Robot Based on Novel Analysis and Design of SDRE Scheme. IEEE Transactions on Control Systems Technology 28 (3), 8664452, S. 1140 - 1148 (2020)
15.
Zeitschriftenartikel
Mena, H.; Pfurtscheller, L.-M.; Stillfjord, T.: GPU Acceleration of Splitting Schemes Applied to Differential Matrix Equations. Numerical Algorithms 83 (1), S. 395 - 419 (2020)
16.
Zeitschriftenartikel
Mitchell, T.: Computing the Kreiss Constant of a Matrix. SIAM Journal on Matrix Analysis and Applications 41 (4), S. 1944 - 1975 (2020)
17.
Zeitschriftenartikel
Palitta, D.; Valeria, S.: Optimality Properties of Galerkin and Petrov-Galerkin Methods for Linear Matrix Equations. Vietnam Journal of Mathematics: Special Issue dedicated to Volker Mehrmann's 65th birthday 48 (4), S. 791 - 807 (2020)
18.
Zeitschriftenartikel
Penke, C.; Marek, A.; Vorwerk, C.; Draxl, C.; Benner, P.: High Performance Solution of Skew-symmetric Eigenvalue Problems with Applications in Solving the Bethe-Salpeter Eigenvalue Problem. Parallel Computing 96, 102639, 8 pages (2020)
19.
Zeitschriftenartikel
Pontes Duff, I.; Grundel, S.; Benner, P.: New Gramians for Linear Switched Systems: Reachability, Observability, and Model Reduction. IEEE Transactions on Automatic Control 65 (6), S. 2526 - 2535 (2020)
20.
Zeitschriftenartikel
Qiu, Y.; Grundel, S.; Stoll, M.; Benner, P.: Efficient Numerical Methods for Gas Network Modeling and Simulation. Networks & Heterogeneous Media 15 (4), S. 653 - 679 (2020)
21.
Zeitschriftenartikel
Ritschel, T. K.S.; Weiß, F.; Baumann, M.; Grundel, S.: Nonlinear Model Reduction of Dynamical Power Grid Models using Quadratization and Balanced Truncation. at - Automatisierungstechnik 68 (12), S. 1022 - 1034 (2020)
22.
Zeitschriftenartikel
Weinhandl, R.; Benner, P.; Richter, T.: Low-Rank Linear Fluid-Structure Interaction Discretizations. Zeitschrift für Angewandte Mathematik und Mechanik 100 (11), e201900205, 28 pages (2020)
23.
Zeitschriftenartikel
Zhou, X.; Li, X.; Liu, F.; Ge, W.; Ma, X.; Tian, Y.; Li, G.; Zhang, J.; Qiu, Y.: The Comprehensive Evaluation Model of Power Supply Capacity for Regional-Oriented Distribution Network. Neural Computing and Applications 32 (9), S. 5163 - 5171 (2020)

Buch (1)

24.
Buch
Reis, T.; Grundel, S.; Schöps, S. (Hg.): Progress in Differential-Algebraic Equations II. Springer, Cham (2020)

Buchkapitel (8)

25.
Buchkapitel
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, S. 191 - 207 (Hg. Fehr, J.; Haasdonk, B.). Springer International Publishing, Cham, Switzerland (2020)
26.
Buchkapitel
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, Bd. 12097, S. 432 - 441 (Hg. Bigatti, A. M.; Carette, J.; Davenport, J. H.; Joswig, M.; de Wolff, T.). Springer International Publishing, Cham (2020)
27.
Buchkapitel
Benner, P.; Faßbender, H.: Model Order Reduction: Techniques and Tools. In: Encyclopedia of Systems and Control (Hg. Baillieul, J.; Samad, T.). Springer, London (angenommen)
28.
Buchkapitel
Benner, P.; Trautwein, C.: Optimal Control of the Stochastic Navier-Stokes Equations. In: Infinite Dimensional and Finite Dimensional Stochastic Equations and Applications in Physics, S. 161 - 211 (Hg. Grecksch, W.; Lisei, H.). World Scientific (2020)
29.
Buchkapitel
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 (Hg. Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S.). Springer Nature (angenommen)
30.
Buchkapitel
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, S. 41 - 53 (Hg. Fehr, J.; Haasdonk, B.) (2020)
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