Veröffentlichungen

Przybilla, J.; Pontes Duff, I.; Benner, P.: Model Reduction for Second-Order Systems with Inhomogeneous Initial Conditions. Systems & Control Letters 183, 105671 (2024)

Sarna, N.; Giesselmann, J.; Benner, P.: Data-Driven Snapshot Calibration via Monotonic Feature Matching. Finite Elements in Analysis & Design 230, 104065 (2024)

Skrypnik, I.; Yevgenieva, Y.: Harnack Inequality for Solutions of the p(x)-Laplace Equation under the precise Non-Logarithmic Zhikov's Conditions. Calculus of variations and partial differential equations 63 (1), 7 (2024)

Aumann, Q.; Gosea, I. V.: Practical Challenges in Data-Driven Interpolation: Dealing with Noise, enforcing Stability, and Computing Realizations. International Journal of Adaptive Control and Signal Processing (2023)

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)

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 75, S. 40 - 55 (2023)

Benner, P.; Chuiko, S.; Zuyev, A.: A Periodic Boundary Value Problem with Switchings under Nonlinear Perturbations. Boundary Value Problems, 50, 12 pages (2023)

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

Benner, P.; Gugercin, S.; Werner, S. W. R.: A Unifying Framework for Tangential Interpolation of Structured Bilinear Control Systems. Numerische Mathematik 155, S. 445 - 483 (2023)

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 124 (12), S. 2801 - 2817 (2023)

Benner, P.; Heiland, J.; Werner, S. W. R.: A Low-Rank Solution Method for Riccati Equations with Indefinite Quadratic Terms. Numerical Algorithms 92, S. 1083 - 1103 (2023)

Benner, P.; Nakatsukasa, Y.; Penke, C.: A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices. SIAM journal on Matrix Analysis and Applications 44 (3), S. 1245 - 1270 (2023)

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

Benner, P.; Van Dooren, P.: Periodic Two-Dimensional Descriptor Systems. Electronic Journal of Linear Algebra 39, S. 472 - 490 (2023)

Boege, T.; Fritze, R.; Görgen, C.; Hanselman, J.; Iglezakis, D.; Kastner, L.; Koprucki, T.; Krause, T.; Lehrenfeld, C.; Polla, S. et al.; Reidelbach, M.; Riedel, C.; Saak, J.; Schembera, B.; Tabelow, K.; Weber, M.: Research-Data Management Planning in the German Mathematical Community. EMS Magazine (2023)

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 71 (11), S. 4762 - 4777 (2023)

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

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

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

Feng, L.; Lombardi, L.; Antonini, G.; Benner, P.: Multi-fidelity Error Estimation accelerates Greedy Model Reduction of Complex Dynamical Systems. International Journal for Numerical Methods in Engineering 124 (23), S. 5312 - 5333 (2023)

Filanova, Y.; Pontes Duff, I.; Goyal, P. K.; Benner, P.: An Operator Inference Oriented Approach for Linear Mechanical Systems. Mechanical Systems and Signal Processing 200, 110620 (2023)

Goyal, P. K.; Benner, P.: Neural Ordinary Differential Equations with Irregular and Noisy Data. Royal Society Open Science 10, 221475 (2023)

Grundel, S.; Flechtner, H.-H.; Butzmann, J.; Benner, P.; Kaasch, A. J.: Twice Weekly Polymerase Chain Reaction (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 (2023)

Grundel, S.; Herty, M.: Model-Order Reduction for Hyperbolic Relaxation Systems. International Journal of Nonlinear Sciences and Numerical Simulation 24 (7), S. 2763 - 2780 (2023)

Grushkovskaya, V.; Zuyev, A.: Motion Planning and Stabilization of Nonholonomic Systems using Gradient Flow Approximations. Nonlinear Dynamics (2023)

Heiland, J.; Werner, S. W. R.: Low-Complexity Linear Parameter-Varying Approximations of Incompressible Navier-Stokes Equations for Truncated State-Dependent Riccati Feedback. IEEE Control Systems Letters 7, S. 3012 - 3017 (2023)

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 103 (5), e202100127, 21 pages (2023)

Kapadia, H.; Feng, L.; Benner, P.: Active-Learning-Driven Surrogate Modeling for Efficient Simulation of Parametric Nonlinear Systems. Computer Methods in Applied Mechanics and Engineering (angenommen)

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)

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