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.

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.

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.

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 in TimeNonlinear Oscillations.

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.

Feng, L., Chellappa, S., & Benner, P. (2024)A Posteriori Error Estimation for Model Order Reduction of Parametric SystemsAdvanced Modeling and Simulation in Engineering Sciences, 11, 5doi: 10.21203/rs.3.rs-3410762/v1.

Gkimisis, L., Richter, T., & Benner, P. (2024)Adjacency-based, Non-Intrusive Model Reduction for Vortex-Induced VibrationsComputers & Fluids, 275, 106248doi: 10.1016/j.compfluid.2024.106248.

Goyal, P. K. & Benner, P. (2024)Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep LearningPhysica D: Nonlinear Phenomena, 463, 134158doi: 10.1016/j.physd.2024.134158.