Publications

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.; Pontes Duff, I.: Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction. International Journal for Numerical Methods in Engineering (accepted)

Benner, P.; Goyal, P. K.; Van Dooren, P.: Parameterized Interpolation of Passive Systems. SIAM journal on Matrix Analysis and Applications (accepted)

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)

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

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)

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, pp. 438 - 453 (2024)

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, pp. 1 - 24 (2024)

Feng, L.; Chellappa, S.; Benner, P.: A Posteriori Error Estimation for Model Order Reduction of Parametric Systems. Advanced Modeling and Simulation in Engineering Sciences 11, 5 (2024)

Gkimisis, L.; Richter, T.; Benner, P.: Adjacency-based, Non-Intrusive Model Reduction for Vortex-Induced Vibrations. Computers & Fluids 275, 106248 (2024)

Gosea, I. V.; Gugercin, S.; Werner, S. W. R.: Structured Barycentric Forms for Interpolation-Based Data-Driven Reduced Modeling of Second-Order Systems. Advances in Computational Mathematics 50, 26 (2024)

Goyal, P. K.; Benner, P.: Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep Learning. Physica D: Nonlinear Phenomena 463, 134158 (2024)

Goyal, P. K.; Peherstorfer, B.; Benner, P.: Rank-Minimizing and Structured Model Inference. SIAM Journal on Scientific Computing (accepted)

Goyal, P. K.; Pontes Duff, I.; Benner, P.: Dominant Subspaces of High-Fidelity Polynomial Structured Parametric Dynamical Systems and Model Reduction. Advances in Computational Mathematics (accepted)

Grundel, S.; Sarna, N.: Hyper-Reduction for Parametrized Transport Dominated Problems via Adaptive Reduced Meshes. Partial Differential Equations and Applications 5 (1), 3 (2024)

Kalosha, J.; Yevgenieva, Y.; Zuyev, A.: Partial Stabilization of an Orbiting Satellite Model with a Flexible Attachment. Journal of Mathematical Sciences (accepted)

Kapadia, H.; Feng, L.; Benner, P.: Active-Learning-Driven Surrogate Modeling for Efficient Simulation of Parametric Nonlinear Systems. Computer Methods in Applied Mechanics and Engineering 419, 116657 (2024)

Liljegren-Sailer, B.; Gosea, I. V.: Data-Driven and Low-Rank Implementations of Balanced Singular Perturbation Approximation. SIAM Journal on Scientific Computing 46 (1), pp. A483 - A507 (2024)

Przybilla, J.; Pontes Duff, I.; Benner, P.: Model Reduction for Second-Order Systems with Inhomogeneous Initial Conditions. Systems & Control Letters 183, 105671 (2024)

Przybilla, J.; Pontes Duff, I.; Benner, P.: Semi-Active Damping Optimization of Vibrational Systems using the Reduced Basis Method. Advances in Computational Mathematics (accepted)

Sarna, N.; Giesselmann, J.; Benner, P.: Data-Driven Snapshot Calibration via Monotonic Feature Matching. Finite Elements in Analysis & Design 230, 104065 (2024)

Savchenko, M.; Skrypnik, I.; Yevgenieva, Y.: On the weak Harnack inequality for unbounded non-negative super-solutions of degenerate double-phase parabolic equations. Journal of Mathematical Analysis and Applications 537 (2), 128331, p. 128331 (2024)

Skrypnik, I.; Yevgenieva, Y.: Harnack Inequality for Solutions of the p(x)-Laplace Equation under the precise Non-Logarithmic Zhikov's Conditions. Calculus of variations and partial differential equations 63 (1), 7 (2024)

Yevgenieva, Y.; Zuyev, A.; Benner, P.; Seidel-Morgenstern, A.: Periodic Optimal Control of a Plug Flow Reactor Model with an Isoperimetric Constraint. Journal of Optimization Theory and Applications (accepted)

Benner, P.; Faßbender, H.: Modellreduktion: Eine systemtheoretisch orientierte Einführung. Springer Spektrum, Berlin, Heidelberg (2024), XIV, 259 pp.

Beddig, R. S.; Benner, P.; Dorschky, I.; Reis, T.; Schwerdtner, P.; Voigt, M.; Werner, S. W.R.: Structure-Preserving Model Reduction for Dissipative Mechanical Systems. In: Calm, Smooth and Smart: Novel Approaches for Influencing Vibrations by Means of Deliberately Introduced Dissipation, pp. 209 - 230 (Ed. Eberhard, P.). Springer, Cham, Switzerland (2024)

Karachalios, D.; Gosea, I. V.; Kour, K.; Antoulas, A. C.: Bilinear realization from input-output data with neural networks. In: Scientific Computing in Electrical Engineering: SCEE 2022, Amsterdam, The Netherlands, July 2022, pp. 184 - 192 (Eds. van Beurden, M.; Budko, N. V.; Ciuprina, G.; Schilders, W.; Bansal, H. et al.). Springer, Cham, Switzerland (2024)

Peterson, L.; Bremer, J.; Goyal, P. K.; Gosea, I. V.; Benner, P.; Sundmacher, K.: Learning Reduced-Order Models for Dynamic CO2 Methanation using Operator Inference. In: Proceedings of the 34th European Symposium on Computer Aided Process Engineering / 15th International Symposium on Process Systems Engineering (ESCAPE34/PSE24). ESCAPE34/PSE24, Florence, Italy, June 02, 2024 - June 06, 2024. (accepted)

Reddig, C.: Active Sampling Strategies for Model Reduction for Structured Dynamical Systems. Master, Otto-von-Guericke Universität, Magdeburg (2024)

Junge, B.: On Solving Large and Sparse Systems of Linear Equations with Multiple Right-Hand Sides. Bachelor, Otto-von-Guericke Universität, Magdeburg (2024)