Veröffentlichungen

2.

Zeitschriftenartikel

Bradde, T.; Grivet-Talocia, S.; Aumann, Q.; Gosea, I. V.: A Modified AAA Algorithm for Learning Stable Reduced-Order Models from Data. Journal of Scientific Computing 103 (1), 14 (2025)

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3.

Zeitschriftenartikel

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

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4.

Zeitschriftenartikel

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), S. 310 - 340 (2025)

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5.

Zeitschriftenartikel

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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6.

Zeitschriftenartikel

Forootani, A.; Goyal, P. K.; Benner, P.: A Robust SINDy Approach by Combining Neural Networks and an Integral Form. Engineering Applications of Artificial Intelligence (angenommen)

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7.

Zeitschriftenartikel

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 (angenommen)

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8.

Zeitschriftenartikel

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

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9.

Zeitschriftenartikel

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), S. 457 - 500 (2025)

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10.

Zeitschriftenartikel

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), S. B87 - B107 (2025)

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11.

Zeitschriftenartikel

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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12.

Zeitschriftenartikel

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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13.

Zeitschriftenartikel

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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14.

Zeitschriftenartikel

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), S. 198 - 202 (2025)

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15.

Zeitschriftenartikel

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

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16.

Zeitschriftenartikel

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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17.

Zeitschriftenartikel

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

18.

Zeitschriftenartikel

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), S. 299 - 312 (2024)

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External

19.

Zeitschriftenartikel

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

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20.

Zeitschriftenartikel

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

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21.

Zeitschriftenartikel

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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22.

Zeitschriftenartikel

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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23.

Zeitschriftenartikel

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

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24.

Zeitschriftenartikel

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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25.

Zeitschriftenartikel

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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26.

Zeitschriftenartikel

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

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27.

Zeitschriftenartikel

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

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28.

Zeitschriftenartikel

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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29.

Zeitschriftenartikel

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, S. 438 - 453 (2024)

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30.

Zeitschriftenartikel

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, S. 1 - 24 (2024)

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