Publications of Peter Benner

Forootani, A., Goyal, P. K., & Benner, P. (2025)A Robust Sparse Identification of Nonlinear Dynamics Approach by Combining Neural Networks and an Integral FormEngineering Applications of Artificial Intelligence, 149, 110360doi: 10.1016/j.engappai.2025.110360.

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

Goyal, P. K., Yildiz, S., & Benner, P. (2025)Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian DynamicsMachine Learning: Science and Technology, 6 (1), 015063doi: 10.1088/2632-2153/adb9b5.

Kumar, V., Heiland, J., & Benner, P. (2025)Exponential Synchronization of bi-directional associative memory Neural Networks with Delay on Arbitrary Time DomainsNeural Computing and Applications, 37, 6383–6400doi: 10.1007/s00521-024-10820-z.

Kweyu, C. M., Khoromskaia, V., Khoromskij, B., Stein, M., & Benner, P. (2025)Solution Decomposition for the Nonlinear Poisson-Boltzmann Equation using the Range-Separated Tensor FormatSIAM Journal on Scientific Computing, 47 (1), B87–B107doi: 10.1137/23M1580516.

Mlinarić, P., Benner, P., & Gugercin, S. (2025)Interpolatory H₂-Optimality Conditions for Structured Linear Time-invariant SystemsSIAM Journal on Numerical Analysis, 63 (2), 949–975doi: 10.1137/23M1610033.

Peterson, L., Forootani, A., Sanchez Medina, E. I., Gosea, I. V., Sundmacher, K., & Benner, P. (2025)Towards Digital Twins for Power-to-X Processes: Comparing Surrogate Models for a Catalytic CO2 Methanation ReactorIEEE Transactions on Automation Science and Engineeringdoi: 10.1109/TASE.2025.3564637.

Peterson, L., Gosea, I. V., Benner, P., & Sundmacher, K. (2025)Digital Twins in Process Engineering: An Overview on Computational and Numerical MethodsComputers and Chemical Engineering, 193, 108917doi: 10.1016/j.compchemeng.2024.108917.

Xu, K.-L., Li, Z., & Benner, P. (2025)Parametric Interpolation Model Order Reduction on Grassmann Manifolds by ParallelizationIEEE Transactions on Circuits and Systems II: Express Briefs, 72 (1), 198–202doi: 10.1109/TCSII.2024.3460171.

Yildiz, S., Goyal, P. K., & Benner, P. (2025)Structure-Preserving Learning for Multi-Symplectic PDEsAdvanced Modeling and Simulation in Engineering Sciences, 12, 6, 19 pagesdoi: 10.1186/s40323-025-00287-5.

Bauer, S., Benner, P., Bereau, T., Blum, V., Boley, M., Carbogno, C., A. Catlow, C. R., Dehm, G., Eibl, S., Ernstorfer, R., 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. (2024)Roadmap on Data-Centric Materials ScienceModelling and Simulation in Materials Science and Engineering, 32, 063301,90 pagesdoi: 10.1088/1361-651X/ad4d0d.

Benner, P., Chuiko, S., & Nesmelova, O. V. (2024)Adomian decomposition method in the theory of nonlinear boundary-value problems unsolved with respect to the derivativeNonlinear Oscillations, 27 (3), 299–312doi: 10.3842/nosc.v27i3.1472.

Benner, P., Chuiko, S., & Nesmelova, O. (2024)Autonomous Periodic Boundary Value Problems with Switchings at Non-Fixed Points of TimeNonlinear Oscillations, 27 (4), 469–493doi: 10.3842/nosc.v27i4.1480.

Benner, P., Chuiko, S., & Zuyev, A. (2024)Iterative Schemes for Periodic Boundary Value Problems with SwitchingsJournal of Mathematical Sciences, 278 (6), 932–949doi: 10.1007/s10958-024-06972-x.

Benner, P. & Goyal, P. K. (2024)Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control SystemsAdvances in Computational Mathematics, 50, 88doi: 10.1007/s10444-024-10186-9.

Benner, P., Goyal, P. K., & Pontes Duff, I. (2024)Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model ReductionInternational Journal for Numerical Methods in Engineering, 125 (15), e7496doi: 10.1002/nme.7496.

Benner, P., Goyal, P. K., & Van Dooren, P. (2024)Parameterized Interpolation of Passive SystemsSIAM Journal on Matrix Analysis and Applications, 45 (2), 1035–1053doi: 10.1137/23M1580528.

Benner, P., Gugercin, S., & Werner, S. W. R. (2024)Structured Interpolation for Multivariate Transfer Functions of Quadratic-Bilinear SystemsAdvances in Computational Mathematics, 50, 18doi: 10.1007/s10444-024-10109-8.

Benner, P., Richter, T., & Weinhandl, R. (2024)A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations with HyperelasticityZeitschrift für angewandte Mathematik und Mechanik, 104 (10), e202300562doi: 10.1002/zamm.202300562.

Chellappa, S., Feng, L., & Benner, P. (2024)Accurate Error Estimation for Model Reduction of Nonlinear Dynamical Systems via Data-enhanced Error ClosureComputer Methods in Applied Mechanics and Engineering, 420, 116712doi: 10.1016/j.cma.2023.116712.