Model order reduction and low-dimensional representations for random linear dynamical systems
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Publication:1996955
DOI10.1016/j.matcom.2017.05.007zbMath1485.93100arXiv1605.06979OpenAlexW2644635209MaRDI QIDQ1996955
Publication date: 1 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.06979
Linear systems in control theory (93C05) System structure simplification (93B11) Numerical methods for differential-algebraic equations (65L80)
Related Items (10)
Comparison of reduced basis construction methods for model order reduction, with application to non-linear low frequency electromagnetics ⋮ Sensitivity analysis of random linear dynamical systems using quadratic outputs ⋮ Model order reduction for random nonlinear dynamical systems and low-dimensional representations for their quantities of interest ⋮ Stability preservation in Galerkin-type projection-based model order reduction ⋮ Stability-preserving model order reduction for linear stochastic Galerkin systems ⋮ Sensitivity analysis of random linear differential-algebraic equations using system norms ⋮ Balanced Truncation for Model Order Reduction of Linear Dynamical Systems with Quadratic Outputs ⋮ 10 Model order reduction in uncertainty quantification ⋮ Frequency domain integrals for stability preservation in Galerkin-type projection-based model order reduction ⋮ Data-driven modeling of linear dynamical systems with quadratic output in the AAA framework
Cites Work
- Unnamed Item
- Unnamed Item
- A non-adapted sparse approximation of PDEs with stochastic inputs
- Adaptive sparse polynomial chaos expansion based on least angle regression
- Enhancing \(\ell_1\)-minimization estimates of polynomial chaos expansions using basis selection
- Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop `Model order reduction, coupled problems and optimization', Leiden, The Netherlands, September 19--23, 2005.
- Parameter independent model order reduction
- Sensitivity analysis and model order reduction for random linear dynamical systems
- Stochastic collocation and stochastic Galerkin methods for linear differential algebraic equations
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- On the convergence of generalized polynomial chaos expansions
- Model Reduction of Descriptor Systems by Interpolatory Projection Methods
- Eigenvalues of the Jacobian of a Galerkin-Projected Uncertain ODE System
- POLYNOMIAL CHAOS FOR LINEAR DIFFERENTIAL ALGEBRAIC EQUATIONS WITH RANDOM PARAMETERS
- Polynomial chaos for the approximation of uncertainties: Chances and limits
- $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
- Model reduction methods based on Krylov subspaces
- Model Order Reduction for Differential-Algebraic Equations: A Survey
- Model Order Reduction for Stochastic Expansions of Electric Circuits
- Two-Sided Arnoldi and Nonsymmetric Lanczos Algorithms
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- STOCHASTIC GALERKIN METHODS AND MODEL ORDER REDUCTION FOR LINEAR DYNAMICAL SYSTEMS
- Adaptive Smolyak Pseudospectral Approximations
- High-Order Collocation Methods for Differential Equations with Random Inputs
- A two-sided Arnoldi algorithm with stopping criterion and MIMO selection procedure
- Approximation of Large-Scale Dynamical Systems
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