Publications

2.

Journal Article

Carlucci, A.; Gosea, I. V.; Grivet-Talocia, S.: Data-Driven Modeling of Weakly Nonlinear Circuits via Generalized Transfer Function Approximation. IEEE Access 13, pp. 2746 - 2762 (2025)

MPG.PuRe

3.

Journal Article

Carson, E.; Lund, K.; Ma, Y.; Oktay, E.: Reorthogonalized Pythagorean variants of block classical Gram-Schmidt. SIAM journal on Matrix Analysis and Applications 46 (1), pp. 310 - 340 (2025)

MPG.PuRe

4.

Journal Article

Chuiko, S.; Chuiko, O.; Diachenko, D.: Autonomous Boundary-Value Problem Unsolved with Respect to the Derivative. Journal of Mathematical Sciences (United States) (2025)

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5.

Journal Article

Forootani, A.; Goyal, P. K.; Benner, P.: A Robust Sparse Identification of Nonlinear Dynamics Approach by Combining Neural Networks and an Integral Form. Engineering Applications of Artificial Intelligence 149, 110360 (2025)

MPG.PuRe

6.

Journal Article

Goyal, P. K.; Yildiz, S.; Benner, P.: Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics. Machine Learning: Science and Technology 6 (1), 015063 (2025)

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7.

Journal Article

Heiland, J.; Yongho, K.: Polytopic Autoencoders with Smooth Clustering for Reduced-order Modelling of Flows. Journal of Computational Physics 521 (Part 1), 113526 (2025)

MPG.PuRe

8.

Journal Article

Karachalios, D.; Gosea, I. V.; Gkimisis, L.; Antoulas, A. C.: Data-Driven Quadratic Modeling in the Loewner Framework from Input-Output Time-Domain Measurements. SIAM Journal on Applied Dynamical Systems 24 (1), pp. 457 - 500 (2025)

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9.

Journal Article

Kumar, V.; Heiland, J.; Benner, P.: Exponential Synchronization of bi-directional associative memory Neural Networks with Delay on Arbitrary Time Domains. Neural Computing and Applications 37, pp. 6383 - 6400 (2025)

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10.

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 47 (1), pp. B87 - B107 (2025)

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11.

Journal Article

Mlinarić, P.; Benner, P.; Gugercin, S.: Interpolatory H₂-Optimality Conditions for Structured Linear Time-invariant Systems. SIAM Journal on Numerical Analysis 63 (2), pp. 949 - 975 (2025)

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12.

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 32 (1), e2604 (2025)

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13.

Journal Article

Peterson, L.; Forootani, A.; Sanchez Medina, E. I.; Gosea, I. V.; Sundmacher, K.; Benner, P.: Towards Digital Twins for Power-to-X Processes: Comparing Surrogate Models for a Catalytic CO2 Methanation Reactor. IEEE Transactions on Automation Science and Engineering (2025)

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14.

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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15.

Journal Article

Savchenko, M. O.; Skrypnik, I. I.; Yevgenieva, Y.: A Note on the Weak Harnack Inequality for Unbounded Minimizers of Elliptic Functionals with Generalized Orlicz Growth. Annali di matematica pura ed applicata (2025)

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16.

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 72 (1), pp. 198 - 202 (2025)

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17.

Journal Article

Yildiz, S.; Goyal, P. K.; Benner, P.: Structure-Preserving Learning for Multi-Symplectic PDEs. Advanced Modeling and Simulation in Engineering Sciences 12, 6, 19 pages (2025)

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18.

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)

MPG.PuRe

19.

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

20.

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 27 (3), pp. 299 - 312 (2024)

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External

21.

Journal Article

Benner, P.; Chuiko, S.; Nesmelova, O.: Autonomous Periodic Boundary Value Problems with Switchings at Non-Fixed Points of Time. Nonlinear Oscillations 27 (4), pp. 469 - 493 (2024)

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External

22.

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)

MPG.PuRe

23.

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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24.

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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25.

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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26.

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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27.

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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28.

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)

MPG.PuRe

29.

Journal Article

Boichuk, O.; Chuiko, S.; Popov, M.: Adomian Decomposition Method in the Theory of Nonlinear Boundary-Value Problems. Ukrainian Mathematical Journal 76 (6), pp. 923 - 936 (2024)

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30.

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)

MPG.PuRe

31.

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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32.

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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33.

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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34.

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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35.

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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36.

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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37.

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)

MPG.PuRe

38.

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)

MPG.PuRe

39.

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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40.

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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41.

Journal Article

Heiland, J.; Yongho, K.: Convolutional Autoencoders, Clustering and POD for Low-dimensional Parametrization of Navier-Stokes Equations. Computers & Mathematics with Applications 175, pp. 49 - 61 (2024)

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42.

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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43.

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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44.

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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45.

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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46.

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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47.

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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48.

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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49.

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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50.

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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