Veröffentlichungen

Alla, A.; Gräßle, C.; Hinze, M.: Time Adaptivity in Model Predictive Control. Journal of Scientific Computing 90, 12 (2022)

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), S. 198 - 204 (2022)

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, S. 28 - 51 (2022)

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), S. 886 - 893 (2022)

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, S. 225–249 - 249 (2022)

Benner, P.; Heiland, J.; Werner, S. W. R.: A Low-Rank Solution Method for Riccati Equations with Indefinite Quadratic Terms. Numerical Algorithms (2022)

Benner, P.; Iannazzo, B.; Meini, B.; Palitta, D.: Palindromic Linearization and Numerical Solution of Nonsymmetric Algebraic T-Riccati Equations. BIT Numerical Mathematics (2022)

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)

Benner, P.; Nakatsukasa, Y.; Penke, C.: Stable and Efficient Computation of Generalized Polar Decompositions. SIAM Journal on Matrix Analysis and Applications (SIMAX) (angenommen)

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)

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, S. 102 - 116 (2022)

Cherifi, K.; Goyal, P. K.; Benner, P.: A Greedy Data Collection Scheme For Linear Dynamical Systems. Data-Centric Engineering 3, e16 (2022)

Daas, H. A.; Ballard, G.; Benner, P.: Parallel Algorithms for Tensor Train Arithmetic. SIAM Journal on Scientific Computing 44 (1), S. C25 - C53 (2022)

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 (angenommen)

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)

Grundel, S.; Herty, M.: Model-Order Reduction for Hyperbolic Relaxation Systems. International Journal of Nonlinear Sciences and Numerical Simulation (2022)

Grundel, S.; Herty, M.: Hyperbolic Discretization of Simplified Euler Equation via Riemann Invariants. Applied Mathematical Modelling 106, S. 60 - 72 (2022)

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), S. S145 - S169 (2022)

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)

Heiland, J.; Unger, B.: Identification of linear time-invariant systems with Dynamic Mode Decomposition. mathematics 10 (3), 418 (2022)

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), S. A1554 - A1578 (2022)

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)

Kumar, V.; Malik, M.; Baleanu, D.: Results on Hilfer Fractional Switched Dynamical System with Non-Instantaneous Impulses. Pramana: Journal of Physics (angenommen)

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)

Mitchell, T.; Overton, M. L.: On Properties of Univariate Max Functions at Local Maximizers. Optimization Letters (2022)

Palitta, D.; Lefteriu, S.: An Efficient, Memory-Saving Approach for the Loewner Framework. Journal of Scientific Computing 91, 31 (2022)

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)

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)

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), S. 684 - 706 (2021)

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), S. 2015 - 2038 (2021)