Publications

Journal Article (284)

1.
Journal Article
Alla, A.; Gräßle, C.; Hinze, M.: Time Adaptivity in Model Predictive Control. Journal of Scientific Computing 90, 12 (2022)
2.
Journal Article
Benner, P.; Filanova, Y.; Karachalios, D.; Monem Adbelhafez, S.; Przybilla, J.; Werner, S. W. R.: Mathematische Komplexitätsreduktion: Modellreduktion dynamischer Systeme. Mitteilungen der Deutschen Mathematiker-Vereinigung 29 (4), pp. 198 - 204 (2022)
3.
Journal Article
Benner, P.; Goyal, P. K.; Heiland, J.; Pontes Duff, I.: Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows. Electronic Transactions on Numerical Analysis: Special Issue SciML 56, pp. 28 - 51 (2022)
4.
Journal Article
Benner, P.; Goyal, P. K.; Pontes Duff, I.: Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic Outputs. IEEE Transactions on Automatic Control 67 (2), pp. 886 - 893 (2022)
5.
Journal Article
Benner, P.; Heiland, J.; Werner, S. W. R.: Robust Output-Feedback Stabilization for Incompressible Flows using Low-Dimensional H-Controllers. Computational Optimization and Applications 82, pp. 225–249 - 249 (2022)
6.
Journal Article
Benner, P.; Heiland, J.; Werner, S. W. R.: A Low-Rank Solution Method for Riccati Equations with Indefinite Quadratic Terms. Numerical Algorithms (2022)
7.
Journal Article
Benner, P.; Iannazzo, B.; Meini, B.; Palitta, D.: Palindromic Linearization and Numerical Solution of Nonsymmetric Algebraic T-Riccati Equations. BIT Numerical Mathematics (2022)
8.
Journal Article
Benner, P.; Liang, X.: Convergence Analysis of Vector Extended Locally Optimal Block Preconditioned Extended Conjugate Gradient Method for Computing Extreme Eigenvalues. Numerical Linear Algebra with Applications, e2445, 24 pages (2022)
9.
Journal Article
Benner, P.; Nakatsukasa, Y.; Penke, C.: Stable and Efficient Computation of Generalized Polar Decompositions. SIAM Journal on Matrix Analysis and Applications (SIMAX) (accepted)
10.
Journal Article
Benner, P.; Penke, C.: Efficient and Accurate Algorithms for Solving the Bethe-Salpeter Eigenvalue Problem for Crystalline Systems. Journal of Computational and Applied Mathematics 400, 113650 (2022)
11.
Journal Article
Cherifi, K.; Goyal, P. K.; Benner, P.: A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data. Electronic Transactions on Numerical Analysis: Special Issue SciML 56, pp. 102 - 116 (2022)
12.
Journal Article
Cherifi, K.; Goyal, P. K.; Benner, P.: A Greedy Data Collection Scheme For Linear Dynamical Systems. Data-Centric Engineering 3, e16 (2022)
13.
Journal Article
Daas, H. A.; Ballard, G.; Benner, P.: Parallel Algorithms for Tensor Train Arithmetic. SIAM Journal on Scientific Computing 44 (1), pp. C25 - C53 (2022)
14.
Journal Article
de la Rubia, V.; Chellappa, S.; Feng, L.; Benner, P.: Fast A Posteriori State Error Estimation for Reliable Frequency Sweeping in Microwave Circuits via the Reduced-Basis Method. IEEE Transactions on Microwave Theory and Techniques (accepted)
15.
Journal Article
Goyal, P. K.; Benner, P.: Discovery of Nonlinear Dynamical Systems using a Runge-Kutta Inspired Dictionary-based Sparse Regression Approach. Proceedings of the Royal Society A (2022)
16.
Journal Article
Grundel, S.; Herty, M.: Model-Order Reduction for Hyperbolic Relaxation Systems. International Journal of Nonlinear Sciences and Numerical Simulation (2022)
17.
Journal Article
Grundel, S.; Herty, M.: Hyperbolic Discretization of Simplified Euler Equation via Riemann Invariants. Applied Mathematical Modelling 106, pp. 60 - 72 (2022)
18.
Journal Article
Grundel, S.; Heyder, S.; Hotz, T.; Ritschel, T. K.S.; Sauerteig, P.; Worthmann, K.: How much testing and social distancing is required to control COVID-19? Some insight based on an age-differentiated compartmental model. SIAM Journal on Control and Optimization 60 (2), pp. S145 - S169 (2022)
19.
Journal Article
Heiland, J.; Benner, P.; Bahmani, R.: Convolutional Neural Networks for Very Low-dimensional LPV Approximations of Incompressible Navier-Stokes Equations. Frontiers in Applied Mathematics and Statistics, section Statistical and Computational Physics 8, 879140 (2022)
20.
Journal Article
Heiland, J.; Unger, B.: Identification of linear time-invariant systems with Dynamic Mode Decomposition. mathematics 10 (3), 418 (2022)
21.
Journal Article
Hund, M.; Mitchell, T.; Mlinarić, P.; Saak, J.: Optimization-Based Parametric Model Order Reduction via H2 ⊗ L2 First-Order Necessary Conditions. SIAM Journal on Scientific Computing 44 (3), pp. A1554 - A1578 (2022)
22.
Journal Article
Kumar, V.; Kostić, M.; Tridane, A.; Debbouche, A.: Controllability of Switched Hilfer Neutral Fractional Dynamic Systems with Impulses. IMA Journal of Mathematical Control and Information, dnac011, 30 pages (2022)
23.
Journal Article
Kumar, V.; Malik, M.; Baleanu, D.: Results on Hilfer Fractional Switched Dynamical System with Non-Instantaneous Impulses. Pramana: Journal of Physics (accepted)
24.
Journal Article
Kweyu, C. M.; Feng, L.; Stein, M.; Benner, P.: Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation regularized by the Range-Separated Canonical Tensor Format. International Journal of Nonlinear Sciences and Numerical Simulation (2022)
25.
Journal Article
Mitchell, T.; Overton, M. L.: On Properties of Univariate Max Functions at Local Maximizers. Optimization Letters (2022)
26.
Journal Article
Palitta, D.; Lefteriu, S.: An Efficient, Memory-Saving Approach for the Loewner Framework. Journal of Scientific Computing 91, 31 (2022)
27.
Journal Article
Redmann, M.; Pontes Duff, I.: Full State Approximation by Galerkin Projection Reduced Order Models for Stochastic and Bilinear Systems. Applied Mathematics and Computation 420, 126561 (2022)
28.
Journal Article
Redmann, M.; Pontes Duff, I.: Model Order Reduction for Bilinear Systems with Non-Zero Initial States - different Approaches with Error Bounds. International Journal of Control (2022)
29.
Journal Article
Alfke, D.; Feng, L.; Lombardi, L.; Antonini, G.; Benner, P.: Model Order Reduction for Delay Systems by Iterative Interpolation. International Journal for Numerical Methods in Engineering 122 (3), pp. 684 - 706 (2021)
30.
Journal Article
Asif, M. M. A.; Ahmad, M. I.; Benner, P.; Feng, L.; Stykel, T.: Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear Systems. Journal of the Franklin Institute 358 (3), pp. 2015 - 2038 (2021)
31.
Journal Article
Banagaaya, N.; Ali, G.; Grundel, S.; Benner, P.: Index-Aware Model-Order Reduction for a Special Class of Nonlinear Differential-Algebraic Equations. Journal of Dynamics and Differential Equations (2021)
32.
Journal Article
Behr, M.; Benner, P.; Heiland, J.: Galerkin Trial Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. Applied Mathematics and Computation 410, 126401, 28 pages (2021)
33.
Journal Article
Benner, P.; Dufrechou, E.; Ezzatti, P.; Gallardo, R.; Quintana-Ortí, E.: Factorized Solution of Generalized Stable Sylvester Equations Using Many-Core GPU Accelerators. Journal of Supercomputing 77, pp. 10152 - 10164 (2021)
34.
Journal Article
Benner, P.; Fassbender, H.; Saltenberger, P.: A Rational Even-IRA Algorithm for the Solution of T-even Polynomial Eigenvalue Problems. SIAM Journal on Matrix Analysis and Applications 42 (3), pp. 1172 - 1198 (2021)
35.
Journal Article
Benner, P.; Goyal, P. K.: Interpolation-Based Model Order Reduction for Polynomial Systems. SIAM Journal on Scientific Computing 43 (1), pp. A84 - A108 (2021)
36.
Journal Article
Benner, P.; Gugercin, S.; Werner, S. W. R.: Structure-Preserving Interpolation of Bilinear Control Systems. Advances in Computational Mathematics 47 (3), 43, 38 pages (2021)
37.
Journal Article
Benner, P.; Gugercin, S.; Werner, S. W. R.: Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems. Automatica 132, 109799, 9 pages (2021)
38.
Journal Article
Benner, P.; Khoromskaia, V.; Khoromskij, B.; Kweyu, C. M.; Stein, M.: Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format. SIAM Journal on Scientific Computing 43 (1), pp. A415 - A445 (2021)
39.
Journal Article
Benner, P.; Liang, X.; Miodragović, S.; Truhar, N.: Relative Perturbation Theory for Quadratic Hermitian Eigenvalue Problems. Linear Algebra and its Applications 618, pp. 97 - 128 (2021)
40.
Journal Article
Benner, P.; Palitta, D.: On the Solution of the Nonsymmetric T-Riccati Equation. Electronic Transactions on Numerical Analysis 54, pp. 68 - 88 (2021)
41.
Journal Article
Benner, P.; Stillfjord, T.; Trautwein, C.: A Linear Implicit Euler Method for the Finite Element Discretization of a Controlled Stochastic Heat Equation. IMA Journal of Numerical Analysis, drab033, 33 pages (2021)
42.
Journal Article
Benner, P.; Trautwein, C.: A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier-Stokes Equations. Applied Mathematics and Optimization 84, pp. 1001 - 1054 (2021)
43.
Journal Article
Benner, P.; Werner, S. W. R.: Frequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems. Linear Algebra and its Applications 623, pp. 68 - 103 (2021)
44.
Journal Article
Bukka, S. R.; Law, Y. Z.; Santo, H.; Chan, E. S.: Reduced Order Model for Nonlinear Multi-Directional Ocean Wave Propagation. Physics of Fluids 33 (11), 117115 (2021)
45.
Journal Article
Cao, X.; Benner, P.; Pontes Duff, I.; Schilders, W.: Model Order Reduction for Bilinear Control Systems with Inhomogeneous Initial Conditions. International Journal of Control 94 (10), pp. 2886 - 2895 (2021)
46.
Journal Article
Chellappa, S.; Feng, L.; Benner, P.: A Training Set Subsampling Strategy for the Reduced Basis Method. Journal of Scientific Computing 89, 63, 34 pages (2021)
47.
Journal Article
De Falco, P.; Weinkamer, R.; Wagermaier, W.; Li, C.; Snow, T.; Terrill, N. J.; Gupta, H. S.; Goyal, P. K.; Stoll, M.; Benner, P. et al.; Fratzl, P.: Tomographic X-ray Scattering based on Invariant Reconstruction: Analysis of the 3D Nanostructure of Bovine Bone. Journal of Applied Crystallography 54 (2), pp. 486 - 497 (2021)
48.
Journal Article
Espinoza, S.; Linke, D.; Wulf, C.; Schimmler, S.; Schunk, S. A.; Benner, P.; Kraehnert, R.; Kragl, U.; Palkovits, R.; Palkovits, S. et al.; Oezaslan, M.; Gläser, R.; Bönisch, T.; Bohmer, N.; Resch, M.; Beller, M.; Deutschmann, O.; Bornscheuer, U.; Greiner, M.; Leitner, W.; Wagemann, K.: NFDI for Catalysis-Related Sciences: NFDI4Cat. Bausteine Forschungsdatenmanagement 2, pp. 57 - 71 (2021)
49.
Journal Article
Fehr, J.; Himpe, C.; Rave, S.; Saak, J.: Sustainable Research Software Hand-Over. Journal of Open Research Software 9 (1), 5 (2021)
50.
Journal Article
Feng, L.; Benner, P.: On Error Estimation for Reduced-order Modeling of Linear Non-Parametric and Parametric Systems. ESAIM: Mathematical Modelling and Numerical Analysis 55 (2), pp. 561 - 594 (2021)
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