Working Paper (51)

2021
Working Paper
Goyal, P. K.; Benner, P.: LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes. (2021)
Working Paper
Goyal, P. K.; Benner, P.: Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint. The Symbiosis of Deep Learning and Differential Equations Workshop at NeurIPS 2021, 9 pages (2021)
Working Paper
Goyal, P. K.; Benner, P.: Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning. (2021)
Working Paper
Jakovcevic Stor, N.; Mitchell, T.; Tomljanovic, Z.; Ugrica, M.: Fast optimization of viscosities for frequency-weighted damping of second-order systems. (2021)
Working Paper
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. (2021)
Working Paper
Mitchell, T.; Van Dooren, P.: Root-max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems. submitted to SINUM (2021)
Working Paper
Prerna , A.; Bdeir, N.; Gärtner, S.; Reiter, S.; Pelz, L.; Felgenhauer, U.; Reichl, U.; Ludwig, S.; Weber, F.; Hoffmann, M. et al.; Winkler, M.; Pöhlmann , S.: Interferon induction and not replication interference mainly determines anti-influenza virus activity of defective interfering particles. bioRxiv (2021)
Working Paper
Przybilla, J.; Voigt, M.: Model Reduction of Parametric Differential-Algebraic Systems by Balanced Truncation. (2021)
Working Paper
Sarna, N.; Benner, P.: Learning Reduced Order Models from Data for Hyperbolic PDEs. (2021)
Working Paper
Van Den Bossche, T.; Kunath, B. J.; Schallert, K.; Schäpe, S. S.; Abraham, P. E.; Armengaud, J.; Arntzen, M. Ø.; Bassignani, A.; Benndorf, D.; Fuchs, S. et al.; Giannone, R. J.; Griffin, T. J.; Hagen, L. H.; Halder, R.; Henry, C.; Hettich, R. L.; Heyer, R.; Jagtap, P.; Jehmlich, N.; Jensen, M.; Juste, C.; Kleiner, M.; Langella, O.; Lehmann, T.; Leith, E.; May, P.; Mesuere, B.; Miotello, G.; Peters, S. L.; Pible, O.; Reichl, U.; Renard, B. Y.; Schiebenhoefer, H.; Scryba, A.; Tanca, A.; Trappe, K.; Trezzi, J.-P.; Uzzau, S.; Verschaffelt, P.; von Bergen, M.; Wilmes, P.; Wolf, M.; Martens, L.; Muth, T.: Critical Assessment of Metaproteome Investigation (CAMPI): A Multi-Lab Comparison of Established Workflows. bioRxiv (2021)
Working Paper
Zhang, Q.; Gosea, I. V.; Antoulas, A. C.: Factorization of the Loewner matrix pencil and its consequences. (2021)
2020
Working Paper
Banagaaya, N.; Ali, G.; Grundel, S.; Benner, P.: Automatic Decoupling and Index-aware Model-Order Reduction for Nonlinear Differential-Algebraic Equations. (2020)
Working Paper
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. (2020)
Working Paper
Benner, P.; Heiland, J.: Space and Chaos-Expansion Galerkin POD Low-order Discretization of PDEs for Uncertainty Quantification. (2020)
Working Paper
Grundel, S.; Herty, M.: Hyperbolic Discretization via Riemann Invariants. (2020)
Working Paper
Kour, K.; Dolgov, S.; Stoll, M.; Benner, P.: Efficient Structure-preserving Support Tensor Train Machine. (2020)
Working Paper
Sarna, N.; Giesselmann, J.; Benner, P.: Data-Driven Snapshot Calibration via Monotonic Feature Matching. (2020)
Working Paper
Sarna, N.; Grundel, S.: Model Reduction of Time-Dependent Hyperbolic Equations using Collocated Residual Minimisation and Shifted Snapshots. submitted to SISC (2020)
Working Paper
Weinhandl, R.; Benner, P.; Richter, T.: A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations with Hyperelasticity. (2020)
2019
Working Paper
Benner, P.; Goyal, P. K.; Pontes Duff, I.: Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction. (2019)
Working Paper
Khodkar, M. A.; Hassanzadeh, P.; Antoulas, A. C.: A Koopman-based Framework for Forecasting the Spatiotemporal Evolution of Chaotic Dynamics with Nonlinearities Modeled as Exogenous Forcings. (2019)
Working Paper
Yue, Y.; Feng, L.; Benner, P.: An Adaptive Pole-Matching Method for Interpolating Reduced-Order Models. (2019)
2018
Working Paper
Khodkar, M. A.; Antoulas, A. C.; Hassanzadeh, P.: Data-driven Spatio-temporal Prediction of High-dimensional Geophysical Turbulence using Koopman Operator Approximation. (2018)
Working Paper
Kungurtsev, V.; Mitchell, T.; Vyhlidal, T.: A Comparison of Nonsmooth, Nonconvex, Constrained Optimization Solvers for the Design of Time-Delay Compensators. (2018)
Working Paper
Kürschner, P.: Residual Minimizing Shift Parameters for the Low-Rank ADI Iteration. (2018)
2017
Working Paper
Behr, M.; Benner, P.; Heiland, J.: Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients. (2017)
Working Paper
Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Solving Optimal Control Problems governed by Random Navier-Stokes Equations using Low-Rank Methods. (2017)
Working Paper
Benner, P.; Goyal, P. K.: Balanced Truncation Model Order Reduction For Quadratic-Bilinear Control Systems. (2017)
Working Paper
Gosea, I. V.; Antoulas, A. C.: Approximation of a damped Euler-Bernoulli beam model in the Loewner framework. (2017)
Working Paper
Karachalios, D.; Gosea, I. V.; Zhang, Q.; Antoulas, A. C.: Case study: Approximations of the Bessel Function. (2017)
2016
Working Paper
Du, X.; Benner, P.: Finite-Frequency Model Order Reduction of Linear Systems via Parameterized Frequency-dependent Balanced Truncation. (2016)
Working Paper
Kuehn, C.; Kürschner, P.: Combined Error Estimates for Local Fluctuations of SPDEs. (2016)

Report (1)

2014
Report
Benner, P.; Mena, H.; Schneider, R.: Drugs, Herbicides, and Numerical Simulation (Snapshots of modern mathematics from Oberwolfach, 10). (2014), 9 pp.

Editorial (6)

2021
Editorial
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M.: Preface to the third Volume of Model Order Reduction. Model Order Reduction: Volume 3: Applications, pp. V - VI (2021)
Editorial
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M.: Preface to the second Volume of Model Order Reduction. Model Order Reduction: Volume 2: Snapshot-Based Methods and Algorithms, pp. V - VI (2021)
Editorial
Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M.: Preface to the first Volume of Model Order Reduction. Model Order Reduction: Volume 1: System- and Data-Driven Methods and Algorithms, pp. V - VIII (2021)
Editorial
Benner, P.; Quintana-Ortì, E.; Saak, J.: Introduction to the Special Issue related to the Power Aware Computing Workshop 2019 — PACO 2019. International Journal of High Performance Computing Applications 35 (3), pp. 209 - 210 (2021)
Editorial
Temmel, E.; Lorenz, H.: Advances in Industrial Crystallization. Advances in Industrial Crystallization, pp. 1 - 4 (2021)
2020
Editorial
Vidaković-Koch, T.: Editorial on Special Issue Electrolysis Processes. Processes 8 (5), 578, p. 578 (2020)
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