Publications

Journal Article (23)

1.
Journal Article
Aliyev, N.; Benner, P.; Mengi, E.; Voigt, M.: A Subspace Framework for H-Norm Minimization. SIAM Journal on Matrix Analysis and Applications 41 (2), pp. 928 - 956 (2020)
2.
Journal Article
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), pp. 1 - 33 (2020)
3.
Journal Article
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), pp. A957 - A996 (2020)
4.
Journal Article
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), pp. 1653 - 1678 (2020)
5.
Journal Article
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)
6.
Journal Article
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)
7.
Journal Article
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)
8.
Journal Article
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, pp. 338 - 354 (2020)
9.
Journal Article
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)
10.
Journal Article
Benner, P.; Werner, S. W. R.: Hankel-Norm Approximation of Large-Scale Descriptor Systems. Advances in Computational Mathematics 46 (3), 40, 31 pages (2020)
11.
Journal Article
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), pp. 5320 - 5349 (2020)
12.
Journal Article
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.
Journal Article
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.
Journal Article
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, pp. 1140 - 1148 (2020)
15.
Journal Article
Mena, H.; Pfurtscheller, L.-M.; Stillfjord, T.: GPU Acceleration of Splitting Schemes Applied to Differential Matrix Equations. Numerical Algorithms 83 (1), pp. 395 - 419 (2020)
16.
Journal Article
Mitchell, T.: Computing the Kreiss Constant of a Matrix. SIAM Journal on Matrix Analysis and Applications 41 (4), pp. 1944 - 1975 (2020)
17.
Journal Article
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), pp. 791 - 807 (2020)
18.
Journal Article
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.
Journal Article
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), pp. 2526 - 2535 (2020)
20.
Journal Article
Qiu, Y.; Grundel, S.; Stoll, M.; Benner, P.: Efficient Numerical Methods for Gas Network Modeling and Simulation. Networks & Heterogeneous Media 15 (4), pp. 653 - 679 (2020)
21.
Journal Article
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), pp. 1022 - 1034 (2020)
22.
Journal Article
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.
Journal Article
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), pp. 5163 - 5171 (2020)

Book (1)

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

Book Chapter (5)

25.
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 (2020)
26.
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 Publishing, Singapore (2020)
27.
Book Chapter
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, Vol. 12097, pp. 432 - 441 (Eds. Bigatti, A. M.; Carette, J.; Davenport, J. H.; Joswig, M.; de Wolff, T.). Springer International Publishing, Cham (2020)
28.
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)
29.
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 International Publishing, Cham (2020)

Conference Paper (5)

30.
Conference Paper
Benner, P.; Heiland, J.: Equivalence of Riccati-based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough. In: 2020 European Control Conference (ECC), pp. 402 - 407. 2020 European Control Conference (ECC), Saint Petersburg, Russia, May 12, 2020 - May 15, 2020. IEEE (2020)
31.
Conference Paper
Bhawal, C.; Heiland, J.; Benner, P.: PD Controllers to solve Single-Input, Index-1 DAE based LQR Problems. In: 2020 European Control Conference (ECC), pp. 1795 - 1800. 2020 European Control Conference (ECC), Saint Petersburg, Russia, May 12, 2020 - May 15, 2020. IEEE (2020)
32.
Conference Paper
Grushkovskaya, V.; Zuyev, A.: Partial Stabilization of Nonholonomic Systems with Application to Multi-agent Coordination. In: 2020 European Control Conference (ECC), pp. 1665 - 1670. 2020 European Control Conference (ECC), Saint Petersburg, Russia, May 12, 2020 - May 15, 2020. IEEE (2020)
33.
Conference Paper
Grushkovskaya, V.; Zuyev, A.: Extremum Seeking Approach for Nonholonomic Systems with Multiple Time Scale Dynamics. 21th IFAC World Congress, Virtual, July 11, 2020 - July 17, 2020. IFAC-PapersOnLine 53 (2), pp. 5392 - 5398 (2020)
34.
Conference Paper
Sauerzapf, S.; Vettermann, J.; Naumann, A.; Saak, J.; Beitelschmidt, M.; Benner, P.: Simulation of the Thermal Behavior of Machine Tools for Efficient Machine Development and Online Correction of the Tool Center Point (TCP)-Displacement. In: Special Interest Group Meeting on Thermal Issues Laboratory for Machine Tools and Production Engineering (WZL). Special Interest Group Meeting on Thermal Issues Laboratory for Machine Tools and Production Engineering (WZL), Aachen, Germany, February 26, 2020 - February 27, 2020. (accepted)

Meeting Abstract (9)

35.
Meeting Abstract
Aliyev, N.; Benner, P.; Mengi, E.; Mitchell, T.; Schwerdtner, P.; Voigt, M.: H-Control of Large-Scale Systems. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 395 - 397. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
36.
Meeting Abstract
Benner, P.; Dolgov, S.; Decker Harris, K.; Kürschner, P.: Greedy Low-Rank Connectome Regression. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 111 - 112. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
37.
Meeting Abstract
Benner, P.; Goyal, P. K.; Pontes Duff, I.: Balanced Truncation for Linear System with Quadratic Output: Theory, Error Bounds and Numerics. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 327 - 328. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
38.
Meeting Abstract
Benner, P.; Goyal, P. K.; Pontes Duff, I.: Automatic Generation of Minimal and Reduced Models for Structured Parametric Dynamical Systems. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 199 - 200. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
39.
Meeting Abstract
Daas, H. A.; Ballard, G.; Benner, P.: Communication-avoiding TT-tensor Orthogonalization and Rounding Procedures. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 93 - 94. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
40.
Meeting Abstract
Daas, H. A.; Grigori, L.; Jolivet, P.; Tournier, P.-H.: A Multilevel Schwarz Preconditioner based on a Hierarchy of Robust Coarse Spaces. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 205 - 207. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
41.
Meeting Abstract
Fassbender, H.; Benner, P.; Saltenberger, P.: A Rational Even-Ira Algorithm for the Solution of Alternating Polynomial Eigenvalue Problems. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 78 - 80. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
42.
Meeting Abstract
Mitchell, T.: Computing the Kreiss Constant of a Matrix. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 275 - 277. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)
43.
Meeting Abstract
Palitta, D.: Matrix Equation Methods for Certain Evolutionary Partial Differential Equations. In XXI Householder Symposium on Numerical Linear Algebra: Book of Abstracts, pp. 310 - 312. XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, Italy, June 14, 2020 - June 19, 2020. (2020)

Thesis - PhD (2)

44.
Thesis - PhD
Weinhandl, R.: Low-rank Methods for Parameter-dependent Fluid-structure Interaction Problems. Dissertation, Otto-von-Guericke Universität, Magdeburg (2020)
45.
Thesis - PhD
Mlinarić, P.: Structure-Preserving Model Order Reduction for Network Systems. Dissertation, Otto-von-Guericke Universität, Magdeburg (2020)

Thesis - Master (1)

46.
Thesis - Master
Balicki, L.: Modellreduktion für differentiell-algebraische Gleichungen im Kontext der Feedback-Stabilisierung von inkompressiblen Strömungen. Master, Otto-von-Guericke Universität, Magdeburg (2020)

Working Paper (9)

47.
Working Paper
Beddig, R. S.; Benner, P.; Dorschky, I.; Reis, T.; Schwerdtner, P.; Voigt, M.; Werner, S. W. R.: Structure-Preserving Model Reduction for Dissipative Mechanical Systems. (2020)
48.
Working Paper
Sarna, N.; Giesselmann, J.; Benner, P.: Data-Driven Snapshot Calibration via Monotonic Feature Matching. (2020)
49.
Working Paper
Benner, P.; Heiland, J.: Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification. (2020)
50.
Working Paper
Weinhandl, R.; Benner, P.; Richter, T.: A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations with Hyperelasticity. (2020)
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