Stability-preserving model order reduction for linear stochastic Galerkin systems
DOI10.1186/s13362-019-0067-6zbMath1459.65127arXiv1905.01082OpenAlexW2972903668WikidataQ127284143 ScholiaQ127284143MaRDI QIDQ2022122
Publication date: 27 April 2021
Published in: Journal of Mathematics in Industry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.01082
Lyapunov equationasymptotic stabilitylinear dynamical systemmodel order reductionpolynomial chaosstochastic Galerkin method
Stability of solutions to ordinary differential equations (34D20) Numerical solutions to stochastic differential and integral equations (65C30) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Stability preservation in projection-based model order reduction of large scale systems
- A POD projection method for large-scale algebraic Riccati equations
- Solution of Lyapunov equations by alternating direction implicit iteration
- Numerical solution of generalized Lyapunov equations
- Model order reduction and low-dimensional representations for random linear dynamical systems
- Model order reduction for random nonlinear dynamical systems and low-dimensional representations for their quantities of interest
- Stochastic collocation and stochastic Galerkin methods for linear differential algebraic equations
- Stability preservation in Galerkin-type projection-based model order reduction
- Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003.
- Practical bifurcation and stability analysis
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- On the convergence of generalized polynomial chaos expansions
- Introduction to Uncertainty Quantification
- Eigenvalues of the Jacobian of a Galerkin-Projected Uncertain ODE System
- Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation Lyapunov Equation
- Model reduction methods based on Krylov subspaces
- A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
- Model Order Reduction for Differential-Algebraic Equations: A Survey
- STOCHASTIC GALERKIN METHODS AND MODEL ORDER REDUCTION FOR LINEAR DYNAMICAL SYSTEMS
- FAST AND ACCURATE MODEL REDUCTION FOR SPECTRAL METHODS IN UNCERTAINTY QUANTIFICATION
- Stability Preservation in Stochastic Galerkin Projections of Dynamical Systems
- Solving Parameter-Dependent Lyapunov Equations Using the Reduced Basis Method with Application to Parametric Model Order Reduction
- Approximation of Large-Scale Dynamical Systems
This page was built for publication: Stability-preserving model order reduction for linear stochastic Galerkin systems