Journal Article (351)
2021
Journal Article
410, 126401, 28 pages (2021)
Galerkin Trial Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. Applied Mathematics and Computation
Journal Article
77, pp. 10152 - 10164 (2021)
Factorized Solution of Generalized Stable Sylvester Equations Using Many-Core GPU Accelerators. Journal of Supercomputing
Journal Article
42 (3), pp. 1172 - 1198 (2021)
A Rational Even-IRA Algorithm for the Solution of T-even Polynomial Eigenvalue Problems. SIAM Journal on Matrix Analysis and Applications
Journal Article
43 (1), pp. A84 - A108 (2021)
Interpolation-Based Model Order Reduction for Polynomial Systems. SIAM Journal on Scientific Computing
Journal Article
47 (3), 43, 38 pages (2021)
Structure-Preserving Interpolation of Bilinear Control Systems. Advances in Computational Mathematics
Journal Article
132, 109799, 9 pages (2021)
Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems. Automatica
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
Journal Article
618, pp. 97 - 128 (2021)
Relative Perturbation Theory for Quadratic Hermitian Eigenvalue Problems. Linear Algebra and its Applications
Journal Article
54, pp. 68 - 88 (2021)
On the Solution of the Nonsymmetric T-Riccati Equation. Electronic Transactions on Numerical Analysis
Journal Article
84, pp. 1001 - 1054 (2021)
A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier-Stokes Equations. Applied Mathematics and Optimization
Journal Article
623, pp. 68 - 103 (2021)
Frequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems. Linear Algebra and its Applications
Journal Article
33 (11), 117115 (2021)
Reduced Order Model for Nonlinear Multi-Directional Ocean Wave Propagation. Physics of Fluids
Journal Article
94 (10), pp. 2886 - 2895 (2021)
Model Order Reduction for Bilinear Control Systems with Inhomogeneous Initial Conditions. International Journal of Control
Journal Article
89, 63, 34 pages (2021)
A Training Set Subsampling Strategy for the Reduced Basis Method. Journal of Scientific Computing
Journal Article
54 (2), pp. 486 - 497 (2021)
Tomographic X-ray Scattering based on Invariant Reconstruction: Analysis of the 3D Nanostructure of Bovine Bone. Journal of Applied Crystallography
Journal Article
2, pp. 57 - 71 (2021)
NFDI for Catalysis-Related Sciences: NFDI4Cat. Bausteine Forschungsdatenmanagement
Journal Article
9 (1), 5 (2021)
Sustainable Research Software Hand-Over. Journal of Open Research Software
Journal Article
55 (2), pp. 561 - 594 (2021)
On Error Estimation for Reduced-order Modeling of Linear Non-Parametric and Parametric Systems. ESAIM: Mathematical Modelling and Numerical Analysis
Journal Article
89, 61 (2021)
A FOM/ROM Hybrid Approach for Accelerating Numerical Simulations. Journal of Scientific Computing
Journal Article
20 (2), pp. 1135 - 1157 (2021)
How to coordinate Vaccination and Social Distancing to mitigate SARS-CoV-2 Outbreaks. SIAM journal on applied dynamical systems
Journal Article
59 (5), pp. 3600 - 3624 (2021)
Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor Systems. SIAM Journal on Control and Optimization
Journal Article
11, 13, 46 pages (2021)
Model Order Reduction for Gas and Energy Networks. Journal of Mathematics in Industry
Journal Article
69 (8), pp. 683 - 694 (2021)
A Comparison of Numerical Methods for Model Reduction of Dense Discrete-Time Systems. at - Automatisierungstechnik
Journal Article
61 (5), pp. 864 - 886 (2021)
Prospects of Tensor-Based Numerical Modeling of the Collective Electrostatics in Many-Particle Systems. Computational Mathematics and Mathematical Physics
Journal Article
28 (1), e2339, 17 pages (2021)
Compress-and-Restart Block Krylov Subspace Methods for Sylvester Matrix Equations. Numerical Linear Algebra and Applications
Journal Article
42 (2), pp. 578 - 607 (2021)
Fast Interpolation-based Globality Certificates for Computing Kreiss Constants and the Distance to Uncontrollability. SIAM Journal on Matrix Analysis and Applications
Journal Article
87 (99), 99, 36 pages (2021)
Matrix Equation Techniques for Certain Evolutionary Partial Differential Equations. Journal of Scientific Computing
Journal Article
88, pp. 1383 - 1417 (2021)
On the Convergence of Krylov Methods with Low-Rank Truncations. Numerical Algorithms
Journal Article
623, pp. 367 - 397 (2021)
Numerical Computation and new Output Bounds for Time-Limited Balanced Truncation of Discrete-Time Systems. Linear Algebra and its Applications
Journal Article
12 (1), pp. 1 - 28 (2021)
Low-Dimensional Approximations of High-Dimensional Asset Price Models. SIAM Journal on Financial Mathematics
Journal Article
440, 110428, 26 pages (2021)
A Positive and Stable L2-minimization Based Moment Method for the Boltzmann Equation of Gas dynamics. Journal of Computational Physics
Journal Article
387, 114168, 30 pages (2021)
Data-Driven Model Order Reduction for Problems with Parameter-Dependent Jump-Discontinuities. Computer Methods in Applied Mechanics and Engineering
Journal Article
44 (1), e202100003, 21 pages (2021)
Machine Learning for Material Characterization with an Application for Predicting Mechanical Properties. GAMM-Mitteilungen: Special Issue: Scientific Machine Learning - Part I
Journal Article
Model Order Reduction Methods for Coupled Machine Tool Models. MM Science Journal (Special Issue: ICTIMT2021), pp. 4652 - 4659 (2021)
Journal Article
93 (8), pp. 2803 - 2821 (2021)
Learning Reduced-order Dynamics for Parametrized Shallow Water Equations from Data. International Journal for Numerical Methods in Fluids 2020
Journal Article
41 (2), pp. 928 - 956 (2020)
A Subspace Framework for H∞-Norm Minimization. SIAM Journal on Matrix Analysis and Applications
Journal Article
7 (1), pp. 1 - 33 (2020)
Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations. Journal of Computational Dynamics
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
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
Journal Article
46, 82, 34 pages (2020)
Balanced Truncation of Linear Time-Invariant Systems over Finite-Frequency Ranges. Advances in Computational Mathematics
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
Journal Article
143, 104741, 9 pages (2020)
Identification of Port-Hamiltonian Systems from Frequency Response Data. Systems & Control Letters
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
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
Journal Article
46 (3), 40, 31 pages (2020)
Hankel-Norm Approximation of Large-Scale Descriptor Systems. Advances in Computational Mathematics
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
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
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
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
Journal Article
83 (1), pp. 395 - 419 (2020)
GPU Acceleration of Splitting Schemes Applied to Differential Matrix Equations. Numerical Algorithms