Publications

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)

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)

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)

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)

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)

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

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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

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

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)

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

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

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)

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

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

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)

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

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)

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)

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

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

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)

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)

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)

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

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 (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)

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)

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)

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)

Benner, P.; Faßbender, H.: Modellreduktion: Eine systemtheoretisch orientierte Einführung. Springer Spektrum, Berlin, Heidelberg (2024), XIV, 259 pp.

Beddig, R. S.; Benner, P.; Dorschky, I.; Reis, T.; Schwerdtner, P.; Voigt, M.; Werner, S. W.R.: Structure-Preserving Model Reduction for Dissipative Mechanical Systems. In: Calm, Smooth and Smart: Novel Approaches for Influencing Vibrations by Means of Deliberately Introduced Dissipation, pp. 209 - 230 (Ed. Eberhard, P.). Springer, Cham (2024)

Karachalios, D.; Gosea, I. V.; Kour, K.; Antoulas, A. C.: Bilinear realization from input-output data with neural networks. In: Scientific Computing in Electrical Engineering: SCEE 2022, Amsterdam, The Netherlands, July 2022, pp. 184 - 192 (Eds. van Beurden, M.; Budko, N. V.; Ciuprina, G.; Schilders, W.; Bansal, H. et al.). Springer, Cham (2024)

Bansal, V.; Feng, L.; de la Rubia, V.; Benner, P.: Parametric S-Parameter Prediction Using Deep Learning. In: 33rd Conference on Electrical Performance of Electronic Packages and Systems (EPEPS 2024), Code 204345. 33rd Conference on Electrical Performance of Electronic Packages and Systems (EPEPS 2024), Toronto, Canada, October 06, 2024 - October 09, 2024. IEEE, Boca Raton (2024)

Bendokat, T.; Benner, P.; Grundel, S.; Nayak, A. S.: Modelling Gas Networks with Compressors: A port-Hamiltonian Approach. 94th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Proceedings in Applied Mathematics and Mechanics 24 (4), e202400164, (2024)

Benner, P.; Chuiko, S.; Nesmelova, O.: Autonomous Seminonlinear Boundary Value Problems with Switchings at Non-Fixed Times. In: Reports of Qualitde, pp. 20 - 23 (Ed. Partsvania, N.). International Workshop on the Qualitative Theory of Differential Equations, "QUALITDE – 2024" , Tbilisi, Georgia, December 21, 2024 - December 23, 2024. Tbilisi State University Press, Tbilisi, Georgia (2024)

Benner, P.; Gugercin, S.; Werner, S. W. R.: Structure-Preserving Interpolation of Quadratic-Bilinear Systems via Regular Multivariate Transfer Functions. 94th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Magdeburg, Germany, March 18, 2024 - March 22, 2024. Proceedings in Applied Mathematics and Mechanics 24 (3), e202400048, (2024)

Bradde, T.; Gosea, I. V.; Grivet-Talocia, S.: Fast Macromodeling of Large-Scale Multiports with Guaranteed Stability. In: 2024 IEEE International Symposium on Electromagnetic Compatibility, Signal & Power Integrity (EMC+SIPI), pp. 472 - 477. 2024 IEEE International Symposium on Electromagnetic Compatibility, Signal & Power Integrity (EMC+SIPI), Phoenix, AZ, USA, August 05, 2024 - August 09, 2024. IEEE, Boca Raton (2024)

Carlucci, A.; Gosea, I. V.; Grivet-Talocia, S.: Approximation of Generalized Frequency Response Functions via Vector Fitting. In: Proceedings of the Thematic Einstein Semester on Mathematical Optimization for Machine Learning, Berlin, Germany. (accepted)

Chuiko, S.; Chuiko, A.; Popov, N.: Adomian Decomposition Method in Theory of Nonlinear Periodic Boundary Value Problems. In: Reports of Qualitde, Vol. Volume 3, pp. 40 - 44 (Ed. Partsvania, N.). International Workshop on the Qualitative Theory of Differential Equations, "QUALITDE – 2024" , Tbilisi, Georgia, December 21, 2024 - December 23, 2024. Tbilisi State University Press, Tbilisi, Georgia (2024)

Das, A.; Heiland, J.: Low-order Linear Parameter Varying Approximations for Nonlinear Controller Design for Flows. In: 2024 European Control Conference (ECC), pp. 2065 - 2070. 22nd European Control Conference ECC, Stockholm, Schweden, June 25, 2024 - June 28, 2024. IEEE, Boca Raton (2024)

Fitzer, U.; Goyal, P. K.; Schuetz, A.; Zawra, I.; Hohlfeld, D.; Bechtold, T.: Comparison of Model Order Reduction Methods for a Linear Finite Element Model of an Electrically Stimulated Neuron. In: 2024 25th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems, EuroSimE 2024, pp. 1 - 8. 25th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE 2024), Catania, Italy, April 07, 2024 - April 10, 2024. IEEE, Boca Raton (2024)