Publications

2.

Journal Article

Benner, P.; Chuiko, S.; Nesmelova, O.: Least Squares Method in the Theory of Nonlinear Boundary-Value Problems unsolved with Respect to the Derivative. Ukrainian Mathematical Journal (accepted)

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3.

Journal Article

Benner, P.; Chuiko, S.; Zuyev, A.: A Periodic Boundary Value Problem with Switchings under Nonlinear Perturbations. Boundary Value Problems, 50 (2023)

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4.

Journal Article

Benner, P.; Chuiko, S.; Zuyev, A.: Iterative Schemes for Periodic Boundary Value Problems with Switchings. Nonlinear Oscillations 26 (1), pp. 6 - 21 (2023)

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5.

Journal Article

Benner, P.; Heiland, J.: Space and Chaos-Expansion Galerkin Proper Orthogonal Decomposition Low-order Discretization of PDEs for Uncertainty Quantification. International Journal for Numerical Methods in Engineering (2023)

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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 92, pp. 1083 - 1103 (2023)

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7.

Journal Article

Benner, P.; Nakatsukasa, Y.; Penke, C.: A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices. SIAM journal on Matrix Analysis and Applications (accepted)

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8.

Journal Article

Benner, P.; Palitta, D.; Saak, J.: On an integrated Krylov-ADI Solver for Large-Scale Lyapunov Equations. Numerical Algorithms 92, pp. 35 - 63 (2023)

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9.

Journal Article

Chellappa, S.; Feng, L.; de la Rubia, V.; Benner, P.: Inf-Sup-Constant-Free State Error Estimator for Model Order Reduction of Parametric Systems in Electromagnetics. IEEE Transactions on Microwave Theory and Techniques (accepted)

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10.

Journal Article

Chuiko, S.; Shevtsova, K. S.: Solvability Conditions for Nonlinear Matrix Equations. Journal of Mathematical Sciences 270, pp. 407 - 419 (2023)

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11.

Journal Article

Erxleben, T.; Duwe, K.; Saak, J.; Köhler, M.; Kuhn, M.: Green Storage: Parallel File Systems on ARM. International Journal On Advances in Software (accepted)

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12.

Journal Article

Feng, L.: Predicting Output Responses of Nonlinear Dynamical Systems with Parametrized Inputs using LSTM. IEEE Journal on Multiscale and Multiphysics Computational Techniques 8, pp. 97 - 107 (2023)

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13.

Journal Article

Grundel, S.; Flechtner, H.-H.; Butzmann, J.; Benner, P.; Kaasch, A. J.: Twice Weekly PCR Surveillance Swabs are not as Effective as Daily Antigen Testing for Containment of SARS-CoV-2 Outbreaks: A Modeling Study Based on Real World Data from a Child and Adolescent Psychiatry Clinic. Infection Control & Hospital Epidemiology (accepted)

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14.

Journal Article

Khorrami, M. S.; Mianroodi, J. R.; Siboni, N. H.; Goyal, P. K.; Svendsen, B.; Benner, P.; Raabe, D.: An Artificial Neural Network for Surrogate Modeling of Stress Fields in Viscoplastic Polycrystalline Materials. npj Computational Materials 9, 37 (2023)

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15.

Journal Article

Kour, K.; Dolgov, S.; Stoll, M.; Benner, P.: Efficient Structure-preserving Support Tensor Train Machine. Journal of Machine Learning Research 24 (4), pp. 1 - 22 (2023)

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16.

Journal Article

Kumar, V.; Djemai, M.: Existence, Stability and Controllability of Piecewise Impulsive Dynamic Systems on Arbitrary Time Domain. Applied Mathematical Modelling 117, pp. 529 - 548 (2023)

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17.

Journal Article

Kumar, V.; Heiland, J.; Benner, P.: Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales. Neural Processing Letters (2023)

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18.

Journal Article

Kumar, V.; Stamov, G.; Stamova, I.: Controllability Results for a Class of Piecewise Nonlinear Impulsive Fractional Dynamic Systems. Applied Mathematics and Computation 439, 127625 (2023)

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19.

Journal Article

Mitchell, T.: Convergence Rate Analysis and Improved Iterations for Numerical Radius Computation. SIAM Journal on Scientific Computing (accepted)

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20.

Journal Article

Mitchell, T.; Van Dooren, P.: Root-max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems. SIAM journal on matrix analysis and applications (accepted)

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21.

Journal Article

Rüther, T.; Gosea, I. V.; Jahn, L.; Antoulas, A. C.; Danzer, M. A.: Introducing the Loewner Method as a Data-Driven and Regularization-Free Approach for the Distribution of Relaxation Times Analysis of Lithium-Ion Batteries. batteries 9 (2), 132 (2023)

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22.

Journal Article

Savchenko, M. O.; Skrypnik, I. I.; Yevgenieva, Y.: Continuity and Harnack Inequalities for Local Minimizers of Non Uniformly Elliptic Functionals with Generalized Orlicz Growth under the Non-logarithmic Conditions. Nonlinear Analysis, Theory, Methods and Applications 230, 113221 (2023)

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23.

Journal Article

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

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24.

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 34, pp. 2465 - 2489 (2022)

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25.

Journal Article

Benner, P.; Faßbender, H.; Senn, M.-N.: The Hamiltonian Extended Krylov Subspace Method. The Electronic Journal of Linear Algebra 38, pp. 572 - 606 (2022)

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26.

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)

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27.

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)

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28.

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)

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29.

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 (2022)

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30.

Journal Article

Benner, P.; Iannazzo, B.; Meini, B.; Palitta, D.: Palindromic Linearization and Numerical Solution of Nonsymmetric Algebraic T-Riccati Equations. BIT Numerical Mathematics 62, pp. 1649 - 1672 (2022)

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31.

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 29 (6), e2445, 24 pages (2022)

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32.

Journal Article

Benner, P.; Nakatsukasa, Y.; Penke, C.: Stable and Efficient Computation of Generalized Polar Decompositions. SIAM Journal on Matrix Analysis and Applications (SIMAX) 43 (3), pp. 1058 - 1083 (2022)

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33.

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)

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34.

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 42 (3), pp. 2118 - 2150 (2022)

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35.

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)

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36.

Journal Article

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

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37.

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)

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38.

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 70 (11), pp. 5172 - 5184 (2022)

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39.

Journal Article

Feng, L.; Benner, P.; Romano, D.; Antonini, G.: Matrix-free Transfer Function Prediction using Model Reduction and Machine Learning. IEEE Transactions on Microwave Theory and Techniques 70 (12), pp. 5392 - 5404 (2022)

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40.

Journal Article

Feng, L.; Lombardi, L.; Benner, P.; Romano, D.; Antonini, G.: Model Order Reduction for Delayed PEEC Models with Guaranteed Accuracy and Observed Stability. IEEE Transactions on Circuits and Systems I: Regular Papers 69 (10), pp. 4177 - 4190 (2022)

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41.

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 478, 20210883 (2022)

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42.

Journal Article

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

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43.

Journal Article

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

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44.

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)

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45.

Journal Article

Heiland, J.: Convergence of Coprime Factor Perturbations for Robust Stabilization of Oseen Systems. Mathematical Control and Related Fields 12 (3), pp. 747 - 761 (2022)

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External

46.

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)

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supplementary-material

47.

Journal Article

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

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48.

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)

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49.

Journal Article

Jakovcevic Stor, N.; Mitchell, T.; Tomljanovic, Z.; Ugrica, M.: Fast optimization of viscosities for frequency-weighted damping of second-order systems. Zeitschrift für angewandte Mathematik und Mechanik, e202100127 (2022)

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50.

Journal Article

Jothimani, K.; Ravichandran, C.; Kumar, V.; Djemai, M.; Nisar, K. S.: Interpretation of Trajectory Control and Optimization for the Nondense Fractional System. International Journal of Applied and Computational Mathematics 8 (6), 273 (2022)

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