Veröffentlichungen

Ahmad, M. I.; Benner, P.; Feng, L.: A New Two-Sided Projection Technique for Model Reduction of Quadratic-Bilinear Descriptor Systems. International Journal of Computer Mathematics 96 (10), S. 1899 - 1909 (2019)

Ahmad, M. I.; Benner, P.; Feng, L.: Interpolatory Model Reduction for Quadratic-Bilinear Systems using Error Estimators. Engineering Computations 36 (1), S. 25 - 44 (2019)

Baumann, M.; Grundel, S.; Sauerteig, P.; Worthmann, K.: Surrogate Models in Bidirectional Optimization of Coupled Microgrids. at-Automatisierungstechnik 67 (12), S. 1035 - 1046 (2019)

Behr, M.; Benner, P.; Heiland, J.: Solution Formulas for Differential Sylvester and Lyapunov Equations. CALCOLO: A Quarterly on Numerical Analysis and Theory of Computation 56 (4), 51, 23 pages (2019)

Benner, P.; Cao, X.; Schilders, W.: A Bilinear H₂ Model Order Reduction Approach to Linear Parameter-Varying Systems. Advances in Computational Mathematics 45 (5-6), S. 2241 - 2271 (2019)

Benner, P.; Dufrechou, E.; Ezzatti, P.; Remón, A.; Saak, J.: A GPU-Aware Mixed-Precision Solver for Low-Rank Algebraic Riccati Equations. Concurrency and Computation: Practice and Experience 31 (6), e4462, 12 pages (2019)

Benner, P.; Herzog, R.; Lang, N.; Riedel, I.; Saak, J.: Comparison of Model Order Reduction Methods for Optimal Sensor Placement for Thermo-Elastic Models. Engineering Optimization 51 (3), S. 465 - 483 (2019)

Benner, P.; Himpe, C.: Cross-Gramian-Based Dominant Subspaces. Advances in Computational Mathematics 45 (5-6), S. 2533 - 2553 (2019)

Benner, P.; Khoromskaia, V.; Khoromskij, B. N.; Yang, C.: Computing the Density of States for Optical Spectra of Molecules by Low-Rank and QTT Tensor Approximation. Journal of Computational Physics 382, S. 221 - 239 (2019)

Benner, P.; Mitchell, T.: Extended and Improved Criss-Cross Algorithms for Computing the Spectral Value Set Abscissa and Radius. SIAM Journal on Matrix Analysis and Applications 40 (4), S. 1325 - 1352 (2019)

Benner, P.; Onwunta, A.; Stoll, M.: A Low-Rank Inexact Newton-Krylov Method for Stochastic Eigenvalue Problems. Computational Methods in Applied Mathematics 19 (1), S. 5 - 22 (2019)

Benner, P.; Seidel-Morgenstern, A.; Zuyev, A.: Periodic Switching Strategies for an Isoperimetric Control Problem with Application to Nonlinear Chemical Reactions. Applied Mathematical Modelling 69, S. 287 - 300 (2019)

Benner, P.; Trautwein, C.: Optimal Control Problems Constrained by the Stochastic Navier-Stokes Equations with Multiplicative Lévy Noise. Mathematische Nachrichten 292 (7), S. 1444 - 1461 (2019)

Feng, L.; Benner, P.: A New Error Estimator for Reduced-Order Modeling of Linear Parametric Systems. IEEE Transactions on Microwave Theory and Techniques 67 (12), S. 4848 - 4859 (2019)

Goyal, P. K.; Redmann, M.: Time-Limited H₂-Optimal Model Order Reduction. Applied Mathematics and Computation 355, S. 184 - 197 (2019)

Köhler, M.; Saak, J.: Frequency Scaling and Energy Efficiency regarding the Gauss-Jordan Elimination Scheme with Application to the Matrix-Sign-Function on OpenPOWER 8. Concurrency and Computation: Practice and Experience 31 (6), e4504, 16 pages (2019)

Kürschner, P.; Dolgov, S.; Harris, K. D.; Benner, P.: Greedy Low-Rank Algorithm for Spatial Connectome Regression. The Journal of Mathematical Neuroscience 9, 9, 22 pages (2019)

Litvinenko, A.; Keyes, D.; Khoromskaia, V.; Khoromskij, B. N.; Matthies, H. G.: Tucker Tensor Analysis of Matérn Functions in Spatial Statistics. Computational Methods in Applied Mathematics 19 (1), S. 101 - 122 (2019)

Pontes Duff, I.; Goyal, P. K.; Benner, P.: Balanced Truncation for a Special Class of Bilinear Descriptor Systems. IEEE Control Systems Letters 3 (3), S. 535 - 540 (2019)

Saak, J.; Siebelts, D.; Werner, S. W. R.: A Comparison of Second-Order Model Order Reduction Methods for an Artificial Fishtail. at - Automatisierungstechnik 67 (8), S. 648 - 667 (2019)

Wahl, H.; Richter, T.; Lehrenfeld, C.; Heiland, J.; Minakowski, P.: Numerical Benchmarking of Fluid-Rigid Body Interactions. Computers and Fluids 193, 104290, 17 pages (2019)

Yue, Y.; Feng, L.; Benner, P.: Reduced-Order Modelling of Parametric Systems via Interpolation of Heterogeneous Surrogates. Advanced Modeling and Simulation in Engineering Sciences 6, 10, 33 pages (2019)

Altmann, R.; Heiland, J.: Continuous, Semi-discrete, and Fully Discretized Navier-Stokes Equations. In: Applications of Differential-Algebraic Equations: Examples and Benchmarks, S. 277 - 312 (Hg. Campbell, .; Ilchmann, A.; Mehrmann, V.; Reis, T.). Springer, Cham, Switzerland (2019)

Banagaaya, N.; Benner, P.; Grundel, S.: Index-Preserving Model Order Reduction for Differential-Algebraic Systems Arising in Gas Transport Networks. In: Progress in Industrial Mathematics at ECMI 2018, S. 291 - 297 (Hg. Faragó, I.; Izsák, F.; Simon, P.) (2019)

Banagaaya, N.; Feng, L.; Benner, P.: Sparse (P)MOR for Electro-Thermal Coupled Problems with Many Inputs. In: Nanoelectronic Coupled Problems Solutions, S. 311 - 328 (Hg. ter Maten, E. J. W.; Brachtendorf, H.-G.; Pulch, R.; Schoenmaker, W.; De Gersem, H.). Springer International Publishing, Cham (2019)

Benner, P.; Faßbender, H.: Model Order Reduction: Techniques and Tools. In: Encyclopedia of Systems and Control (Hg. Baillieul, J.; Samad, T.). Springer, London (2019)

Benner, P.; Grundel, S.; Himpe, C.; Huck, C.; Streubel, T.; Tischendorf, C.: Gas Network Benchmark Models. In: Applications of Differential-Algebraic Equations: Examples and Benchmarks, S. 171 - 197 (Hg. Campbell, S.; Ilchmann, A.; Mehrmann, V.; Reis, T.). Springer International Publishing, Cham (2019)

Feng, L.; Benner, P.: Parametric Model Order Reduction for Electro-Thermal Coupled Problems. In: Nanoelectronic Coupled Problems Solutions, S. 293 - 309 (Hg. ter Maten, E. J. W.; Brachtendorf, H.-G.; Pulch, R.; Schoenmaker, W.; De Gersem, H.). Springer International Publishing, Cham (2019)

Grundel, S.; Sauerteig, P.; Worthmann, K.: Surrogate Models For Coupled Microgrids. In: Progress in Industrial Mathematics at ECMI 2018, S. 477 - 483 (Hg. Faragó, I.; Izsák, F.; Simon, P.) (2019)

Yue, Y.; Feng, L.; Benner, P.; Pulch, R.; Schöps, S.: Reduced Models and Uncertainty Quantification. In: Nanoelectronic Coupled Problems Solutions, S. 329 - 346 (Hg. ter Maten, E. J. W.; Brachtendorf, H.-G.; Pulch, R.; Schoenmaker, W.; De Gersem, H.). Springer International Publishing, Cham (2019)