Journal Article (351)
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410, 126401, 28 pages (2021)
Galerkin Trial Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations. Applied Mathematics and Computation 102.
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77, pp. 10152 - 10164 (2021)
Factorized Solution of Generalized Stable Sylvester Equations Using Many-Core GPU Accelerators. Journal of Supercomputing 103.
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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 104.
Journal Article
43 (1), pp. A84 - A108 (2021)
Interpolation-Based Model Order Reduction for Polynomial Systems. SIAM Journal on Scientific Computing 105.
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47 (3), 43, 38 pages (2021)
Structure-Preserving Interpolation of Bilinear Control Systems. Advances in Computational Mathematics 106.
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132, 109799, 9 pages (2021)
Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems. Automatica 107.
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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 108.
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618, pp. 97 - 128 (2021)
Relative Perturbation Theory for Quadratic Hermitian Eigenvalue Problems. Linear Algebra and its Applications 109.
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54, pp. 68 - 88 (2021)
On the Solution of the Nonsymmetric T-Riccati Equation. Electronic Transactions on Numerical Analysis 110.
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84, pp. 1001 - 1054 (2021)
A Stochastic Maximum Principle for Control Problems Constrained by the Stochastic Navier-Stokes Equations. Applied Mathematics and Optimization 111.
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623, pp. 68 - 103 (2021)
Frequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems. Linear Algebra and its Applications 112.
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33 (11), 117115 (2021)
Reduced Order Model for Nonlinear Multi-Directional Ocean Wave Propagation. Physics of Fluids 113.
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94 (10), pp. 2886 - 2895 (2021)
Model Order Reduction for Bilinear Control Systems with Inhomogeneous Initial Conditions. International Journal of Control 114.
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89, 63, 34 pages (2021)
A Training Set Subsampling Strategy for the Reduced Basis Method. Journal of Scientific Computing 115.
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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 116.
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2, pp. 57 - 71 (2021)
NFDI for Catalysis-Related Sciences: NFDI4Cat. Bausteine Forschungsdatenmanagement 117.
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9 (1), 5 (2021)
Sustainable Research Software Hand-Over. Journal of Open Research Software 118.
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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 119.
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89, 61 (2021)
A FOM/ROM Hybrid Approach for Accelerating Numerical Simulations. Journal of Scientific Computing 120.
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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 121.
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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 122.
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11, 13, 46 pages (2021)
Model Order Reduction for Gas and Energy Networks. Journal of Mathematics in Industry 123.
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69 (8), pp. 683 - 694 (2021)
A Comparison of Numerical Methods for Model Reduction of Dense Discrete-Time Systems. at - Automatisierungstechnik 124.
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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 125.
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28 (1), e2339, 17 pages (2021)
Compress-and-Restart Block Krylov Subspace Methods for Sylvester Matrix Equations. Numerical Linear Algebra and Applications 126.
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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 127.
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87 (99), 99, 36 pages (2021)
Matrix Equation Techniques for Certain Evolutionary Partial Differential Equations. Journal of Scientific Computing 128.
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88, pp. 1383 - 1417 (2021)
On the Convergence of Krylov Methods with Low-Rank Truncations. Numerical Algorithms 129.
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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 130.
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12 (1), pp. 1 - 28 (2021)
Low-Dimensional Approximations of High-Dimensional Asset Price Models. SIAM Journal on Financial Mathematics 131.
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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 132.
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387, 114168, 30 pages (2021)
Data-Driven Model Order Reduction for Problems with Parameter-Dependent Jump-Discontinuities. Computer Methods in Applied Mechanics and Engineering 133.
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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 134.
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Model Order Reduction Methods for Coupled Machine Tool Models. MM Science Journal (Special Issue: ICTIMT2021), pp. 4652 - 4659 (2021)
135.
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93 (8), pp. 2803 - 2821 (2021)
Learning Reduced-order Dynamics for Parametrized Shallow Water Equations from Data. International Journal for Numerical Methods in Fluids 136.
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41 (2), pp. 928 - 956 (2020)
A Subspace Framework for H∞-Norm Minimization. SIAM Journal on Matrix Analysis and Applications 137.
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7 (1), pp. 1 - 33 (2020)
Model Reduction of Controlled Fokker-Planck and Liouville-von Neumann Equations. Journal of Computational Dynamics 138.
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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 139.
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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 140.
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46, 82, 34 pages (2020)
Balanced Truncation of Linear Time-Invariant Systems over Finite-Frequency Ranges. Advances in Computational Mathematics 141.
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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 142.
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143, 104741, 9 pages (2020)
Identification of Port-Hamiltonian Systems from Frequency Response Data. Systems & Control Letters 143.
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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 144.
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26, 62, 32 pages (2020)
Optimal Distributed and Tangential Boundary Control for the Unsteady Stochastic Stokes Equations. ESAIM: Control, Optimisation and Calculus of Variations 145.
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46 (3), 40, 31 pages (2020)
Hankel-Norm Approximation of Large-Scale Descriptor Systems. Advances in Computational Mathematics 146.
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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 147.
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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 148.
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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 149.
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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 150.
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83 (1), pp. 395 - 419 (2020)
GPU Acceleration of Splitting Schemes Applied to Differential Matrix Equations. Numerical Algorithms