Publications

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)

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

Carson, E.; Chen, X.; Liu, X.: Mixed Precision HODLR Matrices. SIAM Journal on Scientific Computing 47 (3), pp. A1408 - A1435 (2025)

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), pp. 310 - 340 (2025)

Chuiko, S.; Chuiko, O.; Diachenko, D.: Autonomous Boundary-Value Problem Unsolved with Respect to the Derivative. Journal of Mathematical Sciences (United States) 287, pp. 519 - 532 (2025)

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)

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

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), pp. 457 - 500 (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)

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)

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)

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)

Tang, A.; Heiland, J.; Hu, G.-D.: Smoothing Gradient Method for Group-Structured Sparse Feedback Stabilization. Systems & Control Letters 202, 106117 (2025)

Umar, M.; Veluvali, P.; Schneider, D.; Selzer, M.; Nestler, B.: Role of Interfacial Surface Anisotropy on Liquid Grooving at Grain Boundaries: A Phase-Field Study. Journal of Applied Physics 137 (11), 114901 (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 (2025)

Carlucci, A.; Gosea, I. V.; Grivet-Talocia, S.: Approximation of Generalized Frequency Response Functions via Vector Fitting. In: Mathematical Optimization for Machine Learning: Proceedings of the MATH+ Thematic Einstein Semester 2023, pp. 169 - 180 (Ed. Fackeldey, K.). De Gruyter, Berlin/Boston (2025)

Gosea, I. V.; Peterson, L.; Goyal, P. K.; Bremer, J.; Sundmacher, K.; Benner, P.: Learning Reduced-Order Quadratic-Linear Models in Process Engineering using Operator Inference. In: Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1. ENUMATH 2023: European Conference, September 4-8, Lisbon, Portugal, pp. 365 - 376 (Eds. Sequeira, A.; Silvestre, A.; Valtchev, S.; Janela, J.). Springer, Cham (2025)

Vettermann, J.; Aumann, Q.; Saak, J.; Benner, P.: Rechenzeitsparende Modellierung. In: Thermo-energetische Gestaltung von Werkzeugmaschinen, pp. 199 - 212 (Ed. Brecher, C.). Springer Vieweg, Wiesbaden (2025)

Veluvali, P.; Heiland, J.; Benner, P.: Bridging Ontologies and Computational Workflows: A Framework for Semantic Enrichment and Reproducibility. In: CoRDI 2025. Conference on Research Data Infrastructure (CoRDI) 2025, Aachen, Germany, August 26, 2025 - August 28, 2025. (accepted)

Hickisch, P.; Saak, J.; Hohlfeld, D.; Bechtold, T.: Two-step Model Order Reduction for a Thermal Finite Element Model of an IGBT Module. In: 11th Vienna International Conference on Mathematical Modelling. 11th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 19, 2025 - February 21, 2025. (accepted)

Hickisch, P.; Saak, J.; Hohlfeld, D.; Bechtold, T.: Two-step Model Order Reduction for a Thermal Finite Element Model of a Power Electronics Module. 11th Vienna International Conference on Mathematical Modelling MATHMOD 2025, Vienna, Austria, February 19, 2025 - February 21, 2025. IFAC PapersOnline 59 (1), pp. 379 - 384 (2025)

Yevgenieva, Y.; Zuyev, A.; Benner, P.: Stability and Decay Rate Estimates for a Nonlinear Dispersed Flow Reactor Model with Boundary Control. In: 2025 European Control Conference (EEC). European Control Conference 2025 (EEC), Thessaloniki, Greece, June 24, 2025 - June 27, 2025. (accepted)

Zuyev, A.; Grushkovska, V.: A Model-Free Extremum Seeking Controller with Application to Tracking a Nonlinear Chemical Reaction. In: 11th International Conference on Control, Decision and Information Technologies (CoDIT 2025). 11th International Conference on Control, Decision and Information Technologies (CoDIT 2025), Split, Croatia, July 15, 2025 - July 18, 2025. (accepted)

Zuyev, A.; Pellicano, F.; Zippo, A.; Iarriccio, G.: Dynamic Modelling of a Controlled Orthotropic Plate: Analytic and Data-Driven Approaches in the Frequency Domain. In: Conference Proceedings: International Mechanical Engineering Congress and Exposition, Volume 5: Dynamics, Vibration, and Control, Vol. 5, IMECE2024-145739, V005T07A052. International Mechanical Engineering Congress & Exposition IMECE 2024, Portland, Oregon, USA, November 17, 2024 - November 21, 2024. ASME, New York (2025)

Lilienblum, J.: Data-based Iterative Methods for Model Reduction of Bilinear Systems. Master, Otto-von-Guericke Universität, Magdeburg (2025)