Publications

Journal Article (308)

1.
Journal Article
Aumann, Q.; Werner, S. W. R.: Structured Model Order Reduction for Vibro-Acoustic Problems using Interpolation and Balancing Methods. Journal of Sound and Vibration 543, 117363 (2023)
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)
3.
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)
4.
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)
5.
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)
6.
Journal Article
Feng, L.: Predicting Output Responses of Nonlinear Dynamical Systems with Parametrized Inputs using LSTM. IEEE Journal on Multiscale and Multiphysics Computational Techniques (accepted)
7.
Journal Article
Khattak, M. A.; Ahmad, M. I.; Feng, L.; Benner, P.: Multivariate Moment Matching for Model Order Reduction of Quadratic-Bilinear Systems using Error Bounds. Advanced Modeling and Simulation in Engineering Sciences (accepted)
8.
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)
9.
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)
10.
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)
11.
Journal Article
Mitchell, T.: Convergence Rate Analysis and Improved Iterations for Numerical Radius Computation. SIAM Journal on Scientific Computing (accepted)
12.
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)
13.
Journal Article
Alla, A.; Gräßle, C.; Hinze, M.: Time Adaptivity in Model Predictive Control. Journal of Scientific Computing 90, 12 (2022)
14.
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)
15.
Journal Article
Benner, P.; Chuiko, S.; Zuyev, A.: Iterative Schemes for Periodic Boundary Value Problems with Switchings. Nonlinear Oscillations (accepted)
16.
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)
17.
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)
18.
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)
19.
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)
20.
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)
21.
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)
22.
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)
23.
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)
24.
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)
25.
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)
26.
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)
27.
Journal Article
Cherifi, K.; Goyal, P. K.; Benner, P.: A Greedy Data Collection Scheme For Linear Dynamical Systems. Data-Centric Engineering 3, e16 (2022)
28.
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)
29.
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)
30.
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)
31.
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)
32.
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)
33.
Journal Article
Grundel, S.; Herty, M.: Model-Order Reduction for Hyperbolic Relaxation Systems. International Journal of Nonlinear Sciences and Numerical Simulation (2022)
34.
Journal Article
Grundel, S.; Herty, M.: Hyperbolic Discretization of Simplified Euler Equation via Riemann Invariants. Applied Mathematical Modelling 106, pp. 60 - 72 (2022)
35.
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)
36.
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)
37.
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)
38.
Journal Article
Heiland, J.; Unger, B.: Identification of linear time-invariant systems with Dynamic Mode Decomposition. mathematics 10 (3), 418 (2022)
39.
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)
40.
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)
41.
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)
42.
Journal Article
Kalosha, J.; Zuyev, A.: Asymptotic Stabilization of a Flexible Beam with an Attached Mass. Ukrainian Mathematical Journal 73 (10), pp. 1537 - 1550 (2022)
43.
Journal Article
Kumar, V.; Debbouche, A.; Nieto, J. J.: Existence, Stability and Controllability Results for a Class of Switched Evolution System with Impulses over Arbitrary Time Domain. Computational and Applied Mathematics 41 (8), 399 (2022)
44.
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 39 (3), pp. 807 - 836 (2022)
45.
Journal Article
Kumar, V.; Malik, M.; Baleanu, D.: Results on Hilfer Fractional Switched Dynamical System with Non-Instantaneous Impulses. Pramana: Journal of Physics 96 (4), 172 (2022)
46.
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)
47.
Journal Article
Lund, K.: Adaptively Restarted Block Krylov Subspace Methods with Low-Synchronization Skeletons. Numerical Algorithms (2022)
48.
Journal Article
Misra, R.; Wisniewski, R.; Zuyev, A.: Attitude Stabilization of a Satellite Having Only Electromagnetic Actuation Using Oscillating Controls. Aerospace 9 (8), 444 (2022)
49.
Journal Article
Mitchell, T.; Overton, M. L.: On Properties of Univariate Max Functions at Local Maximizers. Optimization Letters 16, pp. 2527 - 2541 (2022)
50.
Journal Article
Palitta, D.; Lefteriu, S.: An Efficient, Memory-Saving Approach for the Loewner Framework. Journal of Scientific Computing 91, 31 (2022)
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