Veröffentlichungen

2.

Zeitschriftenartikel

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), S. 2015 - 2038 (2021)

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3.

Zeitschriftenartikel

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

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4.

Zeitschriftenartikel

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 (2021)

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5.

Zeitschriftenartikel

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 (angenommen)

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6.

Zeitschriftenartikel

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

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7.

Zeitschriftenartikel

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 (angenommen)

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8.

Zeitschriftenartikel

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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9.

Zeitschriftenartikel

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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10.

Zeitschriftenartikel

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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11.

Zeitschriftenartikel

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), S. A415 - A445 (2021)

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12.

Zeitschriftenartikel

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

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13.

Zeitschriftenartikel

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

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14.

Zeitschriftenartikel

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

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15.

Zeitschriftenartikel

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 (angenommen)

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16.

Zeitschriftenartikel

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

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17.

Zeitschriftenartikel

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

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18.

Zeitschriftenartikel

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), S. 486 - 497 (2021)

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19.

Zeitschriftenartikel

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 (angenommen)

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20.

Zeitschriftenartikel

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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21.

Zeitschriftenartikel

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), S. 561 - 594 (2021)

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22.

Zeitschriftenartikel

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), S. 1135 - 1157 (2021)

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23.

Zeitschriftenartikel

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

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External

24.

Zeitschriftenartikel

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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25.

Zeitschriftenartikel

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), S. 864 - 886 (2021)

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26.

Zeitschriftenartikel

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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27.

Zeitschriftenartikel

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), S. 578 - 607 (2021)

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28.

Zeitschriftenartikel

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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29.

Zeitschriftenartikel

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

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30.

Zeitschriftenartikel

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, S. 367 - 397 (2021)

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