Publications of Peter Benner

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)

Gkimisis, L.; Aretz, N.; Tezzele, M.; Richter, T.; Benner, P.; Willcox, K. E.: Non-Intrusive Reduced-Order Modeling for Dynamical Systems with Spatially Localized Features. Computer Methods in Applied Mechanics and Engineering 444, 118115 (2025)

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)

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)

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)

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)

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)

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)

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)

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)

Zuyev, A.; Benner, P.: Iterative Approximations of Periodic Trajectories for Nonlinear Systems with Discontinuous Inputs. IEEE Control Systems Letters 9, pp. 985 - 990 (2025)

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)