DOI10.1051/m2an/2011056zbMath1272.65084OpenAlexW2122080931WikidataQ58841804 ScholiaQ58841804MaRDI QIDQ2842478
Christophe Prud'homme, Gabriel Turinici, Annalisa Buffa, Yvon Maday, Anthony T. Patera
Publication date: 14 August 2013
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2011056
A greedy sensor selection algorithm for hyperparameterized linear Bayesian inverse problems with correlated noise models,
Multi‐fidelity error estimation accelerates greedy model reduction of complex dynamical systems,
Data-driven structure-preserving model reduction for stochastic Hamiltonian systems,
Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps,
Reduced order modeling for elliptic problems with high contrast diffusion coefficients,
State Estimation—The Role of Reduced Models,
Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure,
A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems,
Structure-preserving model order reduction of Hamiltonian systems,
Linear/ridge expansions: enhancing linear approximations by ridge functions,
Neural network approximation,
Reduced basis methods for time-dependent problems,
A reduced radial basis function method for partial differential equations on irregular domains,
Projection-tree reduced-order modeling for fast \(N\)-body computations,
ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation,
Sparse-grid, reduced-basis Bayesian inversion: nonaffine-parametric nonlinear equations,
A multiscale problem in thermal science,
Greedy algorithms for high-dimensional non-symmetric linear problems,
Goal-oriented error estimation for the reduced basis method, with application to sensitivity analysis,
Greedy algorithms for reduced bases in Banach spaces,
A Goal-Oriented Reduced Basis Methods-Accelerated Generalized Polynomial Chaos Algorithm,
On the use of ANOVA expansions in reduced basis methods for parametric partial differential equations,
Biorthogonal greedy algorithms in convex optimization,
Greedy controllability of finite dimensional linear systems,
Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems,
Non-intrusive reduced order modeling of nonlinear problems using neural networks,
A reduced basis localized orthogonal decomposition,
Parameter estimation with model order reduction for elliptic differential equations,
State Estimation with Model Reduction and Shape Variability. Application to biomedical problems,
Analysis of quasi-optimal polynomial approximations for parameterized PDEs with deterministic and stochastic coefficients,
Reduced Basis Methods for Pricing Options with the Black--Scholes and Heston Models,
The ROMES Method for Statistical Modeling of Reduced-Order-Model Error,
Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction,
AMS-Net: Adaptive Multiscale Sparse Neural Network with Interpretable Basis Expansion for Multiphase Flow Problems,
On the application of reduced basis methods to bifurcation problems in incompressible fluid dynamics,
A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics,
Dynamical Model Reduction Method for Solving Parameter-Dependent Dynamical Systems,
Reduced basis approximation anda posteriorierror estimates for parametrized elliptic eigenvalue problems,
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations,
Stabilization of generalized empirical interpolation method (GEIM) in presence of noise: a novel approach based on Tikhonov regularization,
High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs,
An automated parameter domain decomposition approach for gravitational wave surrogates using hp-greedy refinement,
Sparse polynomial approximations for affine parametric saddle point problems,
Localized model order reduction and domain decomposition methods for coupled heterogeneous systems,
An iterative multi‐fidelity approach for model order reduction of multidimensional input parametric PDE systems,
Structure Preserving Model Reduction of Parametric Hamiltonian Systems,
Reduced-order modelling numerical homogenization,
Evaluation of dual-weighted residual and machine learning error estimation for projection-based reduced-order models of steady partial differential equations,
Model's sparse representation based on reduced mixed GMsFE basis methods,
A locally adaptive non-intrusive block reduced basis method for scattering applications using the boundary element method,
Error estimate of the non-intrusive reduced basis (NIRB) two-grid method with parabolic equations,
A probabilistic reduced basis method for parameter-dependent problems,
Impact of physical model error on state estimation for neutronics applications,
A Novel Variable-Separation Method Based on Sparse and Low Rank Representation for Stochastic Partial Differential Equations,
Affine Approximation of Parametrized Kernels and Model Order Reduction for Nonlocal and Fractional Laplace Models,
Multiscale model reduction for fluid infiltration simulation through dual-continuum porous media with localized uncertainties,
Exponential tractability of \(L_2\)-approximation with function values,
Efficient finite-element computation of far-fields of phased arrays by order reduction,
A Dirichlet-Neumann reduced basis method for homogeneous domain decomposition problems,
Reduced collocation methods: Reduced basis methods in the collocation framework,
Reduced basis approximations of the solutions to spectral fractional diffusion problems,
Convergence analysis of Padé approximations for Helmholtz frequency response problems,
Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem,
Greedy optimal control for elliptic problems and its application to turnpike problems,
Reduced basis finite element heterogeneous multiscale method for high-order discretizations of elliptic homogenization problems,
Adaptive reduced basis finite element heterogeneous multiscale method,
A rational strategy for the resolution of parametrized problems in the PGD framework,
A novel class of stabilized greedy kernel approximation algorithms: convergence, stability and uniform point distribution,
Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems,
Reduced Basis Method Applied to Eigenvalue Problems from Convection,
On greedy algorithm approximating Kolmogorov widths in Banach spaces,
Greedy algorithms for high-dimensional eigenvalue problems,
Reduced Basis Methods for Uncertainty Quantification,
Reduced Basis Greedy Selection Using Random Training Sets,
A fast Monte-Carlo method with a reduced basis of control variates applied to uncertainty propagation and Bayesian estimation,
Local-global model reduction method for stochastic optimal control problems constrained by partial differential equations,
Efficient estimation of cardiac conductivities via POD-DEIM model order reduction,
On the stability and accuracy of the empirical interpolation method and gravitational wave surrogates,
Error estimate of the non-intrusive reduced basis method with finite volume schemes,
Bifidelity data-assisted neural networks in nonintrusive reduced-order modeling,
Error bounds in high-order Sobolev norms for POD expansions of parameterized transient temperatures,
A two-step model order reduction method to simulate a compressible flow over an extended rough surface,
An automatic Krylov subspaces recycling technique for the construction of a global solution basis of non-affine parametric linear systems,
Decay of the Kolmogorov \(N\)-width for wave problems,
PBDW State Estimation: Noisy Observations; Configuration-Adaptive Background Spaces; Physical Interpretations,
Unnamed Item,
Certified dual-corrected radiation patterns of phased antenna arrays by offline-online order reduction of finite-element models,
How To Best Sample a Solution Manifold?,
Reduced multiscale finite element basis methods for elliptic PDEs with parameterized inputs,
Greedy algorithms and Kolmogorov widths in Banach spaces,
A Variable-Separation Method for Nonlinear Partial Differential Equations With Random Inputs,
Optimal Reduced Model Algorithms for Data-Based State Estimation,
A hierarchical a posteriori error estimator for the reduced basis method,
Numerical solution of the parameterized steady-state Navier-Stokes equations using empirical interpolation methods,
Nonintrusive approximation of parametrized limits of matrix power algorithms – application to matrix inverses and log-determinants,
A non-intrusive reduced basis approach for parametrized heat transfer problems,
Optimal Local Approximation Spaces for Component-Based Static Condensation Procedures,
Linear reconstructions and the analysis of the stable sampling rate,
Structure-preserving reduced basis methods for Poisson systems,
Reduced collocation method for time-dependent parametrized partial differential equations,
A learning-based projection method for model order reduction of transport problems,
Hierarchical Model Reduction Techniques for Flow Modeling in a Parametrized Setting,
Efficient Resolution of Anisotropic Structures,
An efficient QSC approximation of variable-order time-fractional mobile-immobile diffusion equations with variably diffusive coefficients,
Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking,
Gaussian Process Landmarking on Manifolds,
Data Assimilation in Reduced Modeling,
The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term