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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

11.

Journal Article

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

MPG.PuRe

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)

MPG.PuRe

13.

Journal Article

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

MPG.PuRe

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)

MPG.PuRe

15.

Journal Article

Benner, P.; Chuiko, S.; Zuyev, A.: Iterative Schemes for Periodic Boundary Value Problems with Switchings. Nonlinear Oscillations (accepted)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

33.

Journal Article

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

MPG.PuRe

34.

Journal Article

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

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

External

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)

MPG.PuRe

supplementary-material

38.

Journal Article

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

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

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)

MPG.PuRe

47.

Journal Article

Lund, K.: Adaptively Restarted Block Krylov Subspace Methods with Low-Synchronization Skeletons. Numerical Algorithms (2022)

MPG.PuRe

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)

MPG.PuRe

49.

Journal Article

Mitchell, T.; Overton, M. L.: On Properties of Univariate Max Functions at Local Maximizers. Optimization Letters 16, pp. 2527 - 2541 (2022)

MPG.PuRe