Reduced order modeling of random linear dynamical systems based on a new a posteriori error bound

Cites Work

Reduced-order models for control of fluids using the eigensystem realization algorithm
Reduced order methods for modeling and computational reduction
An efficient surrogate-based method for computing rare failure probability
Evaluation of failure probability via surrogate models
Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
Multifidelity importance sampling
A survey of projection-based model reduction methods for parametric dynamical systems
A posteriori error estimation for DEIM reduced nonlinear dynamical systems
Physical interpretation of the proper orthogonal modes using the singular value decomposition
POMs analysis of randomly vibrating systems obtained from Karhunen–Loève expansion
A block Krylov subspace time-exact solution method for linear ordinary differential equation systems
Certified Reduced Basis Methods for Parametrized Partial Differential Equations
The ROMES Method for Statistical Modeling of Reduced-Order-Model Error
A posteriorierror estimators for linear reduced-order models using Krylov-based integrators
An adaptive and efficient greedy procedure for the optimal training of parametric reduced-order models
Efficient reduced models anda posteriorierror estimation for parametrized dynamical systems by offline/online decomposition
Convergence Rates for Greedy Algorithms in Reduced Basis Methods
An Online Method for Interpolating Linear Parametric Reduced-Order Models
Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space
An eigensystem realization algorithm for modal parameter identification and model reduction
A New Look at Proper Orthogonal Decomposition
Model Reduction and Approximation
Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis a posteriori error bounds
Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
Application of proper orthogonal decomposition to the discrete Euler equations
Model Order Reduction in Fluid Dynamics: Challenges and Perspectives
A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations
MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION
Dynamical Model Reduction Method for Solving Parameter-Dependent Dynamical Systems
Reduced basis method for finite volume approximations of parametrized linear evolution equations
A comparative study between kriging and adaptive sparse tensor-product methods for multi-dimensional approximation problems in aerodynamics design
Galerkin proper orthogonal decomposition methods for parabolic problems
Error modeling for surrogates of dynamical systems using machine learning