Publications

2.

Journal Article

Carson, E.; Lund, K.; Ma, Y.; Oktay, E.: On the Loss of Orthogonality in Low-Synchronization Variants of Reorthogonalized Block Classical Gram-Schmidt. Linear Algebra and its Applications 732, pp. 162 - 206 (2026)

MPG.PuRe

3.

Journal Article

Gkimisis, L.; Pontes Duff, I.; Goyal, P. K.; Benner, P.: On the Representation of Energy-Preserving Quadratic Operators with Application to Operator Inference. Applied Mathematics Letters 173, 109761 (2026)

MPG.PuRe

4.

Journal Article

Gkimisis, L.; Yildiz, S.; Benner, P.; Richter, T.: A CFL-type Condition and Theoretical Insights for Discrete-Time Sparse Full-Order Model Inference. Journal of Computational and Applied Mathematics 482, 117269 (2026)

MPG.PuRe

5.

Journal Article

Li, Z.; Xu, K.: Input-independent and Krawtchouk-parameter-independent parallel model order reduction based on Krawtchouk moments and block DFT for two-dimensional discrete-time systems. Journal of Computational and Applied Mathematics 475, 117031 (2026)

MPG.PuRe

6.

Journal Article

Reddig, C.; Goyal, P. K.; Pontes Duff, I.; Benner, P.: Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction. International Journal for Numerical Methods in Engineering 127 (1), e70227 (2026)

MPG.PuRe

7.

Journal Article

Sun, S.; Feng, L.; Benner, P.: Data-Augmented Predictive Deep Neural Network: Enhancing the Extrapolation Capabilities of Non-Intrusive Surrogate Models. Computer Methods in Applied Mechanics and Engineering 450, 118604 (2026)

MPG.PuRe

8.

Journal Article

Antoulas, A. C.; Gosea, I. V.; Poussot-Vassal, C.: On the Loewner Framework, the Kolmogorov Superposition Theorem, and the Curse of Dimensionality. SIAM Review 67 (4), pp. 737 - 770 (2025)

MPG.PuRe

9.

Journal Article

Aumann, Q.; Gosea, I. V.: Practical Challenges in Data-Driven Interpolation: Dealing with Noise, enforcing Stability, and Computing Realizations. International Journal of Adaptive Control and Signal Processing: Special Issue: Reduced‐Order, Data‐Driven, and Decomposition Methods for Modelling, Identification, and Estimation 39 (10), pp. 2062 - 2080 (2025)

MPG.PuRe

10.

Journal Article

Benner, P.; Chuiko, S.; Chuiko, M. O.: Linear l-structured Matrix Equations. Bukovinian Mathematical Journal 13 (1), pp. 118 - 128 (2025)

MPG.PuRe

11.

Journal Article

Benner, P.; Chuiko, S.; Chuiko, V. O.: Least Squares Method in the Theory of Nonlinear Periodic Boundary Value Problems with Concentrated Delay. Functional Differential Equations 32 (1-2), pp. 7 - 35 (2025)

MPG.PuRe

12.

Journal Article

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)

MPG.PuRe

13.

Journal Article

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)

MPG.PuRe

14.

Journal Article

Carlucci, A.; Gosea, I. V.; Grivet-Talocia, S.: On the Generation of SPICE-Compatible Nonlinear Behavioral Macromodels. IEEE Transactions on Components, Packaging and Manufacturing Technology 15 (9), pp. 1857 - 1867 (2025)

MPG.PuRe

15.

Journal Article

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

MPG.PuRe

16.

Journal Article

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)

MPG.PuRe

17.

Journal Article

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

MPG.PuRe

18.

Journal Article

Chuiko, S.; Nesmelova, O.; Shevtsova, K. S.: Periodic Problem for a Liénard-Type Equation with Switchings at Non-Fixed Points in Time. Journal of Mathematical Sciences 292, pp. 439 - 452 (2025)

MPG.PuRe

19.

Journal Article

Chuiko, S.; Silin, Y.; Shevtsova, K.: Adomian Decomposition Method in the Theory of Autonomous Nonlinear Boundary-Value Problems with Switchings at Nonfixed Points of Time. Journal of Mathematical Sciences 294 (4), pp. 633 - 649 (2025)

MPG.PuRe

20.

Journal Article

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)

MPG.PuRe

21.

Journal Article

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)

MPG.PuRe

22.

Journal Article

Goyal, P. K.; Pontes Duff, I.; Benner, P.: Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference. Physica D: Nonlinear Phenomena 483, 134893 (2025)

MPG.PuRe

23.

Journal Article

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)

MPG.PuRe

24.

Journal Article

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

MPG.PuRe

25.

Journal Article

Heiland, J.; Kim, Y.; Werner, S. W. R.: Deep Polytopic Autoencoders for Low-Dimensional Linear Parameter-Varying Approximations and Nonlinear Feedback Controller Design. Advances in Computational Mathematics 51, 55 (2025)

MPG.PuRe

26.

Journal Article

Kalosha, J.; Yevgenieva, Y.; Zuyev, A.: Partial Stabilization of an Orbiting Satellite Model with a Flexible Attachment. Journal of Mathematical Sciences 291 (6), pp. 991 - 999 (2025)

MPG.PuRe

27.

Journal Article

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)

MPG.PuRe

28.

Journal Article

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)

MPG.PuRe

29.

Journal Article

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)

MPG.PuRe

30.

Journal Article

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)

MPG.PuRe

31.

Journal Article

Mlinarić, P.; Benner, P.; Gugercin, S.: Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems. Mathematical Communications (accepted)

MPG.PuRe

32.

Journal Article

Padhi, R.; Gosea, I. V.; Pontes Duff, I.; Gugercin, S.: Data-Driven Balancing Formulation for Linear Systems With Quadratic Outputs. IEEE Control Systems Letters (9), pp. 2843 - 2848 (2025)

MPG.PuRe

33.

Journal Article

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)

MPG.PuRe

34.

Journal Article

Patel, B.; Sorrentino, A.; Gosea, I. V.; Antoulas, A. C.; Vidaković-Koch, T.: A data-driven, noise-resilient algorithm for extraction of distribution of relaxation times using the Loewner framework. Journal of Power Sources 655, 237909 (2025)

MPG.PuRe

35.

Journal Article

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)

MPG.PuRe

36.

Journal Article

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)

MPG.PuRe

37.

Journal Article

Reddig, C.; Goyal, P. K.; Pontes Duff, I.; Benner, P.: Approximate Balanced Truncation for Linear Structured Systems based on Greedy Numerical Integration. At-Automatisierungstechnik 73 (8), pp. 572 - 591 (2025)

MPG.PuRe

38.

Journal Article

Reiter, S.; Gosea, I. V.; Gugercin, S.: Generalizations of Data-Driven Balancing: What to Sample for Different Balancing-Based Reduced Models. Automatica 182, 112518 (2025)

MPG.PuRe

39.

Journal Article

Reiter, S.; Pontes Duff, I.; Gosea, I. V.; Gugercin, S.: H₂ Optimal Model Reduction of Linear Systems with Multiple Quadratic Outputs. IEEE Transactions on Automatic Control (2025)

MPG.PuRe

40.

Journal Article

Saak, J.; Speck, R.; Thiele, J. P.: Forschungssoftware: Chancen und Herausforderungen. GAMM Rundbrief (accepted)

MPG.PuRe

41.

Journal Article

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 204, pp. 1937 - 1946 (2025)

MPG.PuRe

42.

Journal Article

Sydoruk, V.; Chystiakov, O.; Benner, P.; Nikolaievska, O.: Solving Linear Systems of Equations with Block Skyscraper Structure. Cybernetics and Computer Technologies 3, pp. 68 - 78 (2025)

MPG.PuRe

43.

Journal Article

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

MPG.PuRe

44.

Journal Article

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)

MPG.PuRe

45.

Journal Article

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)

MPG.PuRe

Full

46.

Journal Article

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)

MPG.PuRe

47.

Journal Article

Zhang, J.; Heiland, J.; Benner, P.; Du, X.: Frequency-dependent Switching Control for Disturbance Attenuation of Linear Systems. IEEE Transactions on Automatic Control 71 (1), pp. 396 - 410 (2025)

MPG.PuRe

48.

Journal Article

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

MPG.PuRe

49.

Journal Article

Aumann, Q.; Werner, S. W. R.: Adaptive Choice of Near-Optimal Expansion Points for Interpolation-Based Structure-Preserving Model Reduction. Advances in Computational Mathematics 50 (4), 79 (2024)

MPG.PuRe

50.

Journal Article

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)

MPG.PuRe