Publications

2.

Journal Article

Benner, P.; Goyal, P. K.; Heiland, J.; Pontes Duff, I.: Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows. Electronic Transactions on Numerical Analysis: Special Issue SciML 56, pp. 28 - 51 (2022)

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3.

Journal Article

Benner, P.; Penke, C.: Efficient and Accurate Algorithms for Solving the Bethe-Salpeter Eigenvalue Problem for Crystalline Systems. Journal of Computational and Applied Mathematics 400, 113650 (2022)

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4.

Journal Article

Cherifi, K.; Goyal, P. K.; Benner, P.: A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data. Electronic Transactions on Numerical Analysis: Special Issue SciML 56, pp. 102 - 116 (2022)

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5.

Journal Article

Hund, M.; Mitchell, T.; Mlinarić, P.; Saak, J.: Optimization-Based Parametric Model Order Reduction via H₂ ⊗ L₂ First-Order Necessary Conditions. SIAM Journal on Scientific Computing (accepted)

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6.

Journal Article

Alfke, D.; Feng, L.; Lombardi, L.; Antonini, G.; Benner, P.: Model Order Reduction for Delay Systems by Iterative Interpolation. International Journal for Numerical Methods in Engineering 122 (3), pp. 684 - 706 (2021)

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7.

Journal Article

Asif, M. M. A.; Ahmad, M. I.; Benner, P.; Feng, L.; Stykel, T.: Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear Systems. Journal of the Franklin Institute 358 (3), pp. 2015 - 2038 (2021)

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8.

Journal Article

Banagaaya, N.; Ali, G.; Grundel, S.; Benner, P.: Index-Aware Model-Order Reduction for a Special Class of Nonlinear Differential-Algebraic Equations. Journal of Dynamics and Differential Equations (2021)

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9.

Journal Article

Behr, M.; Benner, P.; Heiland, J.: Galerkin Trial Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. Applied Mathematics and Computation 410, 126401, 28 pages (2021)

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10.

Journal Article

Benner, P.; Dufrechou, E.; Ezzatti, P.; Gallardo, R.; Quintana-Ortí, E.: Factorized Solution of Generalized Stable Sylvester Equations Using Many-Core GPU Accelerators. Journal of Supercomputing 77, pp. 10152 - 10164 (2021)

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11.

Journal Article

Benner, P.; Fassbender, H.; Saltenberger, P.: A Rational Even-IRA Algorithm for the Solution of T-even Polynomial Eigenvalue Problems. SIAM Journal on Matrix Analysis and Applications 42 (3), pp. 1172 - 1198 (2021)

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12.

Journal Article

Benner, P.; Goyal, P. K.: Interpolation-Based Model Order Reduction for Polynomial Systems. SIAM Journal on Scientific Computing 43 (1), pp. A84 - A108 (2021)

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13.

Journal Article

Benner, P.; Goyal, P. K.; Pontes Duff, I.: Gramians, Energy Functionals and Balanced Truncation for Linear Dynamical Systems with Quadratic Outputs. IEEE Transactions on Automatic Control (2021)

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14.

Journal Article

Benner, P.; Gugercin, S.; Werner, S. W. R.: Structure-Preserving Interpolation of Bilinear Control Systems. Advances in Computational Mathematics 47 (3), 43, 38 pages (2021)

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15.

Journal Article

Benner, P.; Gugercin, S.; Werner, S. W. R.: Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems. Automatica 132, 109799, 9 pages (2021)

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16.

Journal Article

Benner, P.; Khoromskaia, V.; Khoromskij, B.; Kweyu, C. M.; Stein, M.: Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format. SIAM Journal on Scientific Computing 43 (1), pp. A415 - A445 (2021)

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17.

Journal Article

Benner, P.; Liang, X.; Miodragović, S.; Truhar, N.: Relative Perturbation Theory for Quadratic Hermitian Eigenvalue Problems. Linear Algebra and its Applications 618, pp. 97 - 128 (2021)

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18.

Journal Article

Benner, P.; Palitta, D.: On the Solution of the Nonsymmetric T-Riccati Equation. Electronic Transactions on Numerical Analysis 54, pp. 68 - 88 (2021)

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19.

Journal Article

Benner, P.; Stillfjord, T.; Trautwein, C.: A Linear Implicit Euler Method for the Finite Element Discretization of a Controlled Stochastic Heat Equation. IMA Journal of Numerical Analysis (2021)

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20.

Journal Article

Benner, P.; Trautwein, C.: A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier-Stokes Equations. Applied Mathematics and Optimization 84, pp. 1001 - 1054 (2021)

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21.

Journal Article

Benner, P.; Werner, S. W. R.: Frequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems. Linear Algebra and its Applications 623, pp. 68 - 103 (2021)

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22.

Journal Article

Bukka, S. R.; Law, Y. Z.; Santo, H.; Chan, E. S.: Reduced Order Model for Nonlinear Multi-Directional Ocean Wave Propagation. Physics of Fluids 33 (11), 117115 (2021)

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23.

Journal Article

Cao, X.; Benner, P.; Pontes Duff, I.; Schilders, W.: Model Order Reduction for Bilinear Control Systems with Inhomogeneous Initial Conditions. International Journal of Control 94 (10), pp. 2886 - 2895 (2021)

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24.

Journal Article

Chellappa, S.; Feng, L.; Benner, P.: A Training Set Subsampling Strategy for the Reduced Basis Method. Journal of Scientific Computing 89, 63, 34 pages (2021)

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25.

Journal Article

Daas, H. A.; Ballard, G.; Benner, P.: Parallel Algorithms for Tensor Train Arithmetic. SIAM Journal on Scientific Computing (accepted)

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26.

Journal Article

De Falco, P.; Weinkamer, R.; Wagermaier, W.; Li, C.; Snow, T.; Terrill, N. J.; Gupta, H. S.; Goyal, P. K.; Stoll, M.; Benner, P. et al.; Fratzl, P.: Tomographic X-ray Scattering based on Invariant Reconstruction: Analysis of the 3D Nanostructure of Bovine Bone. Journal of Applied Crystallography 54 (2), pp. 486 - 497 (2021)

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27.

Journal Article

Espinoza, S.; Linke, D.; Wulf, C.; Schimmler, S.; Schunk, S. A.; Benner, P.; Kraehnert, R.; Kragl, U.; Palkovits, R.; Palkovits, S. et al.; Oezaslan, M.; Gläser, R.; Bönisch, T.; Bohmer, N.; Resch, M.; Beller, M.; Deutschmann, O.; Bornscheuer, U.; Greiner, M.; Leitner, W.; Wagemann, K.: NFDI for Catalysis-Related Sciences: NFDI4Cat. Bausteine Forschungsdatenmanagement 2, pp. 57 - 71 (2021)

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28.

Journal Article

Fehr, J.; Himpe, C.; Rave, S.; Saak, J.: Sustainable Research Software Hand-Over. Journal of Open Research Software 9 (1), 5 (2021)

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29.

Journal Article

Feng, L.; Benner, P.: On Error Estimation for Reduced-order Modeling of Linear Non-Parametric and Parametric Systems. ESAIM: Mathematical Modelling and Numerical Analysis 55 (2), pp. 561 - 594 (2021)

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post-print

30.

Journal Article

Feng, L.; Fu, G.; Wang, Z.: A FOM/ROM Hybrid Approach for Accelerating Numerical Simulations. Journal of Scientific Computing 89, 61 (2021)

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31.

Journal Article

Grundel, S.; Heyder, S.; Hotz, T.; Ritschel, T. K.S.; Sauerteig, P.; Worthmann, K.: How to coordinate Vaccination and Social Distancing to mitigate SARS-CoV-2 Outbreaks. SIAM journal on applied dynamical systems 20 (2), pp. 1135 - 1157 (2021)

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32.

Journal Article

Heiland, J.: Convergence of Coprime Factor Perturbations for Robust Stabilization of Oseen Systems. Mathematical Control and Related Fields (2021)

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External

33.

Journal Article

Heiland, J.; Zuazua, E.: Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems. SIAM Journal on Control and Optimization 59 (5), pp. 3600 - 3624 (2021)

MPG.PuRe

34.

Journal Article

Himpe, C.; Grundel, S.; Benner, P.: Model Order Reduction for Gas and Energy Networks. Journal of Mathematics in Industry 11, 13, 46 pages (2021)

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35.

Journal Article

Jendersie, R.; Werner, S. W. R.: A Comparison of Numerical Methods for Model Reduction of Dense Discrete-Time Systems. at - Automatisierungstechnik 69 (8), pp. 683 - 694 (2021)

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36.

Journal Article

Khoromskaia, V.; Khoromskij, B.: Prospects of Tensor-Based Numerical Modeling of the Collective Electrostatics in Many-Particle Systems. Computational Mathematics and Mathematical Physics 61 (5), pp. 864 - 886 (2021)

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37.

Journal Article

Kressner, D.; Lund, K.; Massei, S.; Palitta, D.: Compress-and-Restart Block Krylov Subspace Methods for Sylvester Matrix Equations. Numerical Linear Algebra and Applications 28 (1), e2339, 17 pages (2021)

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38.

Journal Article

Mitchell, T.: Fast Interpolation-based Globality Certificates for Computing Kreiss Constants and the Distance to Uncontrollability. SIAM Journal on Matrix Analysis and Applications 42 (2), pp. 578 - 607 (2021)

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39.

Journal Article

Palitta, D.: Matrix Equation Techniques for Certain Evolutionary Partial Differential Equations. Journal of Scientific Computing 87 (99), 99, 36 pages (2021)

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40.

Journal Article

Palitta, D.; Kürschner, P.: On the Convergence of Krylov Methods with Low-Rank Truncations. Numerical Algorithms 88, pp. 1383 - 1417 (2021)

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41.

Journal Article

Pontes Duff, I.; Kürschner, P.: Numerical Computation and new Output Bounds for Time-Limited Balanced Truncation of Discrete-Time Systems. Linear Algebra and its Applications 623, pp. 367 - 397 (2021)

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post-print

42.

Journal Article

Redmann, M.; Bayer, C.; Goyal, P. K.: Low-Dimensional Approximations of High-Dimensional Asset Price Models. SIAM Journal on Financial Mathematics 12 (1), pp. 1 - 28 (2021)

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43.

Journal Article

Sarna, N.: A Positive and Stable L2-minimization Based Moment Method for the Boltzmann Equation of Gas dynamics. Journal of Computational Physics 440, 110428, 26 pages (2021)

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44.

Journal Article

Sarna, N.; Benner, P.: Data-Driven Model Order Reduction for Problems with Parameter-Dependent Jump-Discontinuities. Computer Methods in Applied Mechanics and Engineering 387, 114168 (2021)

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45.

Journal Article

Stoll, A.; Benner, P.: Machine Learning for Material Characterization with an Application for Predicting Mechanical Properties. GAMM-Mitteilungen: Special Issue: Scientific Machine Learning - Part I 44 (1), e202100003, 21 pages (2021)

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46.

Journal Article

Vetterman, J.; Sauerzapf, S.; Naumann, A.; Beitelschmidt, M.; Herzig, R.; Benner, P.; Saak, J.: Model Order Reduction Methods for Coupled Machine Tool Models. MM Science Journal (Special Issue: ICTIMT2021), pp. 4652 - 4659 (2021)

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47.

Journal Article

Yıldız, S.; Goyal, P. K.; Benner, P.; Karasözen, B.: Learning Reduced-order Dynamics for Parametrized Shallow Water Equations from Data. International Journal for Numerical Methods in Fluids 93 (8), pp. 2803 - 2821 (2021)

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48.

Journal Article

Aliyev, N.; Benner, P.; Mengi, E.; Voigt, M.: A Subspace Framework for H_∞-Norm Minimization. SIAM Journal on Matrix Analysis and Applications 41 (2), pp. 928 - 956 (2020)

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49.

Journal Article

Benner, P.; Bujanović, Z.; Kürschner, P.; Saak, J.: A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems. SIAM Journal on Scientific Computing 42 (2), pp. A957 - A996 (2020)

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50.

Journal Article

Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Low-Rank Solution of an Optimal Control Problem constrained by Random Navier-Stokes Equations. International Journal for Numerical Methods in Fluids 92 (11), pp. 1653 - 1678 (2020)

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