Veröffentlichungen

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), S. 684 - 706 (2021)

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)

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 (angenommen)

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

Benner, P.; Gugercin, S.; Werner, S. W. R.: Structure-Preserving Interpolation of Bilinear Control Systems. Advances in Computational Mathematics (angenommen)

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)

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)

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

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

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

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)

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

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

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

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), S. A957 - A996 (2020)

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), S. 1653 - 1678 (2020)

Benner, P.; Du, X.; Yang, G.; Ye, D.: Balanced truncation of linear time-invariant systems over finite-frequency ranges. Advances in Computational Mathematics 46, 82, 34 pages (2020)

Benner, P.; Goyal, P. K.; Kramer, B.; Peherstorfer, B.; Willcox, K.: Operator Inference for Non-Intrusive Model Reduction of Systems with Non-Polynomial Nonlinear Terms. Computer Methods in Applied Mechanics and Engineering 372, 113433, 17 pages (2020)

Benner, P.; Goyal, P. K.; Van Dooren, P.: Identification of Port-Hamiltonian Systems from Frequency Response Data. Systems & Control Letters 143, 104741, 9 pages (2020)

Benner, P.; Trautwein, C.: Optimal Distributed and Tangential Boundary Control for the Unsteady Stochastic Stokes Equations. ESAIM: Control, Optimisation and Calculus of Variations 26, 62, 32 pages (2020)

Benner, P.; Werner, S. W. R.: Hankel-Norm Approximation of Large-Scale Descriptor Systems. Advances in Computational Mathematics 46 (3), 40, 31 pages (2020)

Benner, P.; Werner, S. W. R.: Frequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems. Linear Algebra and its Applications (2020)

Benner, P.; Breiten, T.; Hartmann, C.; Schmidt, B.: Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations. Journal of Computational Dynamics 7 (1), S. 1 - 33 (2020)

Benner, P.; Heinkenschloss, M.; Saak, J.; Weichelt, H. K.: Efficient Solution of Large-Scale Algebraic Riccati Equations Associated with Index-2 DAEs via the Inexact Low-Rank Newton-ADI Method. Applied Numerical Mathematics 152, S. 338 - 354 (2020)

Cao, X.; Benner, P.; Pontes Duff, I.; Schilders, W.: Model Order Reduction for Bilinear Control Systems with Inhomogeneous Initial Conditions. International Journal of Control (2020)

Chellappa, S.; Feng, L.; Benner, P.: Adaptive Basis Construction and Improved Error Estimation for Parametric Nonlinear Dynamical Systems. International Journal for Numerical Methods in Engineering: Special Issue: Credible High-Fidelity and Low-Cost Simulations in Computational Engineering 121 (23), S. 5320 - 5349 (2020)

Khoromskaia, V.; Khoromskij, B.; Otto, F.: Numerical Study in Stochastic Homogenization for Elliptic Partial Differential Equations: Convergence Rate in the Size of Representative Volume Elements. Numerical Linear Algebra with Applications 27 (3), e2296, 23 pages (2020)

Kweyu, C. M.; Feng, L.; Stein, M.; Benner, P.: Fast Solution of the Linearized Poisson-Boltzmann Equation with nonaffine Parametrized Boundary Conditions Using the Reduced Basis Method. Computing and Visualization in Science 23 (1-4), 15, 19 pages (2020)

Lin, L.-G.; Xin, M.: Nonlinear Control of Two-Wheeled Robot Based on Novel Analysis and Design of SDRE Scheme. IEEE Transactions on Control Systems Technology 28 (3), 8664452, S. 1140 - 1148 (2020)

Mena, H.; Pfurtscheller, L.-M.; Stillfjord, T.: GPU Acceleration of Splitting Schemes Applied to Differential Matrix Equations. Numerical Algorithms 83 (1), S. 395 - 419 (2020)