Publications
Journal Article (233)
1.
Journal Article
122 (3), pp. 684 - 706 (2021)
Model Order Reduction for Delay Systems by Iterative Interpolation. International Journal for Numerical Methods in Engineering 2.
Journal Article
358 (3), pp. 2015 - 2038 (2021)
Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear Systems. Journal of the Franklin Institute 3.
Journal Article
Factorized Solution of Generalized Stable Sylvester Equations Using Many-Core GPU Accelerators. Journal of Supercomputing (accepted)
4.
Journal Article
43 (1), pp. A84 - A108 (2021)
Interpolation-Based Model Order Reduction for Polynomial Systems. SIAM Journal on Scientific Computing 5.
Journal Article
Structure-Preserving Interpolation of Bilinear Control Systems. Advances in Computational Mathematics (accepted)
6.
Journal Article
43 (1), pp. A415 - A445 (2021)
Regularization of Poisson-Boltzmann Type Equations with Singular Source Terms Using the Range-Separated Tensor Format. SIAM Journal on Scientific Computing 7.
Journal Article
618, pp. 97 - 128 (2021)
Relative Perturbation Theory for Quadratic Hermitian Eigenvalue Problems. Linear Algebra and its Applications 8.
Journal Article
54, pp. 68 - 88 (2021)
On the Solution of the Nonsymmetric T-Riccati Equation. Electronic Transactions on Numerical Analysis 9.
Journal Article
On Error Estimation for Reduced-order Modeling of Linear Non-Parametric and Parametric Systems. ESAIM: Mathematical Modelling and Numerical Analysis (accepted)
10.
Journal Article
Convergence of Coprime Factor Perturbations for Robust Stabilization of Oseen Systems. Mathematical Control and Related Fields (accepted)
11.
Journal Article
28 (1), e2339, 17 pages (2021)
Compress-and-Restart Block Krylov Subspace Methods for Sylvester Matrix Equations. Numerical Linear Algebra and Applications 12.
Journal Article
Fast Interpolation-based Globality Certificates for Computing Kreiss Constants and the Distance to Uncontrollability. SIAM Journal on Matrix Analysis and Applications (accepted)
13.
Journal Article
On the Convergence of Krylov Methods with Low-Rank Truncations. Numerical Algorithms (accepted)
14.
Journal Article
41 (2), pp. 928 - 956 (2020)
A Subspace Framework for H∞-Norm Minimization. SIAM Journal on Matrix Analysis and Applications 15.
Journal Article
42 (2), pp. A957 - A996 (2020)
A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems. SIAM Journal on Scientific Computing 16.
Journal Article
92 (11), pp. 1653 - 1678 (2020)
Low-Rank Solution of an Optimal Control Problem constrained by Random Navier-Stokes Equations. International Journal for Numerical Methods in Fluids 17.
Journal Article
46, 82, 34 pages (2020)
Balanced truncation of linear time-invariant systems over finite-frequency ranges. Advances in Computational Mathematics 18.
Journal Article
372, 113433, 17 pages (2020)
Operator Inference for Non-Intrusive Model Reduction of Systems with Non-Polynomial Nonlinear Terms. Computer Methods in Applied Mechanics and Engineering 19.
Journal Article
143, 104741, 9 pages (2020)
Identification of Port-Hamiltonian Systems from Frequency Response Data. Systems & Control Letters 20.
Journal Article
26, 62, 32 pages (2020)
Optimal Distributed and Tangential Boundary Control for the Unsteady Stochastic Stokes Equations. ESAIM: Control, Optimisation and Calculus of Variations 21.
Journal Article
46 (3), 40, 31 pages (2020)
Hankel-Norm Approximation of Large-Scale Descriptor Systems. Advances in Computational Mathematics 22.
Journal Article
Frequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems. Linear Algebra and its Applications (2020)
23.
Journal Article
7 (1), pp. 1 - 33 (2020)
Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations. Journal of Computational Dynamics 24.
Journal Article
152, pp. 338 - 354 (2020)
Efficient Solution of Large-Scale Algebraic Riccati Equations Associated with Index-2 DAEs via the Inexact Low-Rank Newton-ADI Method. Applied Numerical Mathematics 25.
Journal Article
Model Order Reduction for Bilinear Control Systems with Inhomogeneous Initial Conditions. International Journal of Control (2020)
26.
Journal Article
121 (23), pp. 5320 - 5349 (2020)
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 27.
Journal Article
27 (3), e2296, 23 pages (2020)
Numerical Study in Stochastic Homogenization for Elliptic Partial Differential Equations: Convergence Rate in the Size of Representative Volume Elements. Numerical Linear Algebra with Applications 28.
Journal Article
23 (1-4), 15, 19 pages (2020)
Fast Solution of the Linearized Poisson-Boltzmann Equation with nonaffine Parametrized Boundary Conditions Using the Reduced Basis Method. Computing and Visualization in Science 29.
Journal Article
28 (3), 8664452, pp. 1140 - 1148 (2020)
Nonlinear Control of Two-Wheeled Robot Based on Novel Analysis and Design of SDRE Scheme. IEEE Transactions on Control Systems Technology 30.
Journal Article
83 (1), pp. 395 - 419 (2020)
GPU Acceleration of Splitting Schemes Applied to Differential Matrix Equations. Numerical Algorithms 31.
Journal Article
41 (4), pp. 1944 - 1975 (2020)
Computing the Kreiss Constant of a Matrix. SIAM Journal on Matrix Analysis and Applications 32.
Journal Article
48 (4), pp. 791 - 807 (2020)
Optimality Properties of Galerkin and Petrov-Galerkin Methods for Linear Matrix Equations. Vietnam Journal of Mathematics: Special Issue dedicated to Volker Mehrmann's 65th birthday 33.
Journal Article
96, 102639, 8 pages (2020)
High Performance Solution of Skew-symmetric Eigenvalue Problems with Applications in Solving the Bethe-Salpeter Eigenvalue Problem. Parallel Computing 34.
Journal Article
65 (6), pp. 2526 - 2535 (2020)
New Gramians for Linear Switched Systems: Reachability, Observability, and Model Reduction. IEEE Transactions on Automatic Control 35.
Journal Article
Numerical Computation and new Output Bounds for Time-Limited Balanced Truncation of Discrete-Time Systems. Linear Algebra and its Applications (2020)
36.
Journal Article
15 (4), pp. 653 - 679 (2020)
Efficient Numerical Methods for Gas Network Modeling and Simulation. Networks & Heterogeneous Media 37.
Journal Article
68 (12), pp. 1022 - 1034 (2020)
Nonlinear Model Reduction of Dynamical Power Grid Models using Quadratization and Balanced Truncation. at - Automatisierungstechnik 38.
Journal Article
Machine Learning for Material Characterization with an Application for Predicting Mechanical Properties. GAMM-Mitteilungen (accepted)
39.
Journal Article
100 (11), e201900205, 28 pages (2020)
Low-Rank Linear Fluid-Structure Interaction Discretizations. Zeitschrift für Angewandte Mathematik und Mechanik 40.
Journal Article
32 (9), pp. 5163 - 5171 (2020)
The Comprehensive Evaluation Model of Power Supply Capacity for Regional-Oriented Distribution Network. Neural Computing and Applications 41.
Journal Article
96 (10), pp. 1899 - 1909 (2019)
A New Two-Sided Projection Technique for Model Reduction of Quadratic-Bilinear Descriptor Systems. International Journal of Computer Mathematics 42.
Journal Article
36 (1), pp. 25 - 44 (2019)
Interpolatory Model Reduction for Quadratic-Bilinear Systems using Error Estimators. Engineering Computations 43.
Journal Article
67 (12), pp. 1035 - 1046 (2019)
Surrogate Models in Bidirectional Optimization of Coupled Microgrids. at-Automatisierungstechnik 44.
Journal Article
56 (4), 51, 23 pages (2019)
Solution Formulas for Differential Sylvester and Lyapunov Equations. CALCOLO: A Quarterly on Numerical Analysis and Theory of Computation 45.
Journal Article
31 (6), e4462, 12 pages (2019)
A GPU-Aware Mixed-Precision Solver for Low-Rank Algebraic Riccati Equations. Concurrency and Computation: Practice and Experience 46.
Journal Article
382, pp. 221 - 239 (2019)
Computing the Density of States for Optical Spectra of Molecules by Low-Rank and QTT Tensor Approximation. Journal of Computational Physics 47.
Journal Article
69, pp. 287 - 300 (2019)
Periodic Switching Strategies for an Isoperimetric Control Problem with Application to Nonlinear Chemical Reactions. Applied Mathematical Modelling 48.
Journal Article
45 (5-6), pp. 2241 - 2271 (2019)
A Bilinear H2 Model Order Reduction Approach to Linear Parameter-Varying Systems. Advances in Computational Mathematics 49.
Journal Article
51 (3), pp. 465 - 483 (2019)
Comparison of Model Order Reduction Methods for Optimal Sensor Placement for Thermo-Elastic Models. Engineering Optimization 50.
Journal Article
45 (5-6), pp. 2533 - 2553 (2019)
Cross-Gramian-Based Dominant Subspaces. Advances in Computational Mathematics