Publications

2.

Journal Article

Peterson, L.; Gosea, I. V.; Benner, P.; Sundmacher, K.: Digital Twins in Process Engineering: An Overview on Computational and Numerical Methods. Computers and Chemical Engineering 193, 108917 (2025)

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3.

Journal Article

Aumann, Q.; Werner, S. W. R.: Adaptive Choice of Near-Optimal Expansion Points for Interpolation-Based Structure-Preserving Model Reduction. Advances in Computational Mathematics 50 (4), 79 (2024)

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4.

Journal Article

Bauer, S.; Benner, P.; Bereau, T.; Blum, V.; Boley, M.; Carbogno, C.; A. Catlow, C. R.; Dehm, G.; Eibl, S.; Ernstorfer, R. et al.; Fekete, Á.; Foppa, L.; Fratzl, P.; Freysoldt, C.; Gault, B.; M. Ghiringhelli, L.; Sajal, K. G.; Gladyshev, A.; Goyal, P. K.; Hattrick-Simpers, J.; Kabalan, L.; Karpov, P.; S. Khorrami, M.; Koch, C.; Kokott, S.; Kosch, T.; Kowalec, I.; Kremer, K.; Leitherer, A.; Li, Y.; Liebscher, C. H.; Logsdail, A. J.; Lu, Z.; Luong, F.; Marek, A.; Merz, F.; R. Mianroodi, J.; Neugebauer, J.; Purcell, T. A. R.; Raabe, D.; Rampp, M.; Rossi, M.; Rost, J.-M.; Saalmann, U.; Saxena, A.; Sbailo, L.; Scheffler, M.; Scheidgen, M.; Schloz, M.; Schmidt, D. F.; Teshuva, S.; Trunschke, A.; Wei, Y.; Weikum, G.; Xian, R. P.; Yao, Y.; Zhao, M.: Roadmap on Data-Centric Materials Science. Modelling and Simulation in Materials Science and Engineering 32, 063301,90 pages (2024)

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External

5.

Journal Article

Benner, P.; Chuiko, S.; Nesmelova, O.V.: Adomian decomposition method in the theory of nonlinear boundary-value problems unsolved with respect to the derivative. Nonlinear Oscillations (accepted)

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6.

Journal Article

Benner, P.; Chuiko, S.; Nesmelova, O.: Autonomous Periodic Boundary Value Problems with Switchings at Non-Fixed Points in Time. Nonlinear Oscillations (accepted)

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7.

Journal Article

Benner, P.; Chuiko, S.; Zuyev, A.: Iterative Schemes for Periodic Boundary Value Problems with Switchings. Journal of Mathematical Sciences 278 (6), pp. 932 - 949 (2024)

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8.

Journal Article

Benner, P.; Goyal, P. K.: Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems. Advances in Computational Mathematics 50, 88 (2024)

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9.

Journal Article

Benner, P.; Goyal, P. K.; Pontes Duff, I.: Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction. International Journal for Numerical Methods in Engineering 125 (15), e7496 (2024)

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10.

Journal Article

Benner, P.; Goyal, P. K.; Van Dooren, P.: Parameterized Interpolation of Passive Systems. SIAM Journal on Matrix Analysis and Applications 45 (2), pp. 1035 - 1053 (2024)

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11.

Journal Article

Benner, P.; Gugercin, S.; Werner, S. W. R.: Structured Interpolation for Multivariate Transfer Functions of Quadratic-Bilinear Systems. Advances in Computational Mathematics 50, 18 (2024)

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12.

Journal Article

Benner, P.; Heiland, J.; Kumar, V.: Exponential Synchronization of BAM Neural Networks with Delay on Arbitrary Time Domains. Neural Computing and Applications (accepted)

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13.

Journal Article

Benner, P.; Richter, T.; Weinhandl, R.: A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations with Hyperelasticity. Zeitschrift für angewandte Mathematik und Mechanik 104 (10), e202300562 (2024)

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14.

Journal Article

Boichuk, O.; Chuiko, S.; Diachenko, D.: Adomian’s Decomposition Method in the Theory of Nonlinear Autonomous Boundary-Value Problems. Ukrainian Mathematical Journal 75, pp. 1203 - 1218 (2024)

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15.

Journal Article

Chellappa, S.; Feng, L.; Benner, P.: Accurate Error Estimation for Model Reduction of Nonlinear Dynamical Systems via Data-enhanced Error Closure. Computer Methods in Applied Mechanics and Engineering 420, 116712 (2024)

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16.

Journal Article

Chuiko, S.; Chuiko, O.; Diachenko, D.: On Approximate Solutions of a Nonlinear Periodic Boundary-Value Problem with Switching in the Case of Parametric Resonance by the Newton–Kantorovich Method. Journal of Mathematical Sciences 279, pp. 438 - 453 (2024)

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17.

Journal Article

Chuiko, S.; Nesmelova, O. V.: On the Reduction of an Autonomous Nonlinear Boundary Value Problem Unsolved with Respect to the Derivative to the First-Order Critical Case. Journal of Mathematical Sciences 279, pp. 1 - 24 (2024)

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18.

Journal Article

Feng, L.; Chellappa, S.; Benner, P.: A Posteriori Error Estimation for Model Order Reduction of Parametric Systems. Advanced Modeling and Simulation in Engineering Sciences 11, 5 (2024)

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19.

Journal Article

Gkimisis, L.; Richter, T.; Benner, P.: Adjacency-based, Non-Intrusive Model Reduction for Vortex-Induced Vibrations. Computers & Fluids 275, 106248 (2024)

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20.

Journal Article

Gosea, I. V.; Gugercin, S.; Werner, S. W. R.: Structured Barycentric Forms for Interpolation-Based Data-Driven Reduced Modeling of Second-Order Systems. Advances in Computational Mathematics 50, 26 (2024)

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21.

Journal Article

Goyal, P. K.; Benner, P.: Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep Learning. Physica D: Nonlinear Phenomena 463, 134158 (2024)

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22.

Journal Article

Goyal, P. K.; Peherstorfer, B.; Benner, P.: Rank-Minimizing and Structured Model Inference. SIAM Journal on Scientific Computing 46 (3), pp. A1879 - A1902 (2024)

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23.

Journal Article

Goyal, P. K.; Pontes Duff, I.; Benner, P.: Dominant Subspaces of High-Fidelity Polynomial Structured Parametric Dynamical Systems and Model Reduction. Advances in Computational Mathematics 50, 42 (2024)

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24.

Journal Article

Grundel, S.; Sarna, N.: Hyper-Reduction for Parametrized Transport Dominated Problems via Adaptive Reduced Meshes. Partial Differential Equations and Applications 5 (1), 3 (2024)

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25.

Journal Article

Grushkovska, V.; Zuyev, A.: Design of Stabilizing Feedback Controllers for High-Order Nonholonomic Systems. IEEE Control Systems Letters 8, pp. 988 - 993 (2024)

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26.

Journal Article

Kalosha, J.; Yevgenieva, Y.; Zuyev, A.: Partial Stabilization of an Orbiting Satellite Model with a Flexible Attachment. Journal of Mathematical Sciences (accepted)

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27.

Journal Article

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 419, 116657 (2024)

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28.

Journal Article

Kweyu, C. M.; Khoromskaia, V.; Khoromskij, B.; Stein, M.; Benner, P.: Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation using the Range-Separated Tensor Format. SIAM Journal on Scientific Computing (accepted)

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29.

Journal Article

Liljegren-Sailer, B.; Gosea, I. V.: Data-Driven and Low-Rank Implementations of Balanced Singular Perturbation Approximation. SIAM Journal on Scientific Computing 46 (1), pp. A483 - A507 (2024)

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30.

Journal Article

Lund, K.; Palitta, D.: Low-rank-modified Galerkin Methods for the Lyapunov Equation. Electronic Transactions on Numerical Analysis 62, pp. 1 - 21 (2024)

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31.

Journal Article

Palitta, D.; Tomljanović, Z.; Nakić, I.; Saak, J.: Efficient Solution of Sequences of Parametrized Lyapunov Equations with Applications. Numerical Linear Algebra with Applications (accepted)

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32.

Journal Article

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

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33.

Journal Article

Przybilla, J.; Pontes Duff, I.; Benner, P.: Semi-Active Damping Optimization of Vibrational Systems using the Reduced Basis Method. Advances in Computational Mathematics 50 (3), 56 (2024)

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34.

Journal Article

Przybilla, J.; Voigt, M.: Model Reduction of Parametric Differential-Algebraic Systems by Balanced Truncation. Mathematical and Computer Modelling of Dynamical Systems 30 (1), pp. 303 - 341 (2024)

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35.

Journal Article

Saak, J.; Werner, S. W. R.: Using LDL^T Factorizations in Newton's Method for Solving General Large-Scale Algebraic Riccati Equations. Electronic Transactions on Numerical Analysis 62, pp. 95 - 118 (2024)

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36.

Journal Article

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

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37.

Journal Article

Savchenko, M.; Skrypnik, I.; Yevgenieva, Y.: On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations. Journal of Mathematical Analysis and Applications 537 (2), 128331, p. 128331 (2024)

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38.

Journal Article

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)

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39.

Journal Article

Xu, K.-L.; Li, Z.; Benner, P.: Parametric Interpolation Model Order Reduction on Grassmann Manifolds by Parallelization. IEEE Transactions on Circuits and Systems II: Express Briefs (2024)

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40.

Journal Article

Yevgenieva, Y.; Zuyev, A.; Benner, P.; Seidel-Morgenstern, A.: Periodic Optimal Control of a Plug Flow Reactor Model with an Isoperimetric Constraint. Journal of Optimization Theory and Applications 202, pp. 582 - 604 (2024)

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41.

Journal Article

Yildiz, S.; Goyal, P. K.; Bendokat, T.; Benner, P.: Data-Driven Identification of Quadratic Representations for Nonlinear Hamiltonian Systems using Weakly Symplectic Liftings. Journal of Machine Learning for Modeling and Computing 5 (2), pp. 45 - 71 (2024)

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42.

Journal Article

Zuyev, A.; Feng, L.; Benner, P.: Estimates of the Kolmogorov n-Width for Nonlinear Transformations with Application to Distributed-Parameter Control Systems. IEEE Control Systems Letters 8, pp. 1877 - 1882 (2024)

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43.

Journal Article

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)

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44.

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)

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45.

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 75, pp. 40 - 55 (2023)

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46.

Journal Article

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

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47.

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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External

48.

Journal Article

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

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49.

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

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50.

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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