72 citations · 536 across the 51 of their papers we have counts for
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Low-rank tensor methods for model order reduction
Anthony Nouy
Parameter-dependent models arise in many contexts such as uncertainty quantification, sensitivity analysis, inverse problems or optimization. Parametric or uncertainty analyses usu…
Low-rank methods for high-dimensional approximation and model order reduction
Anthony Nouy
Tensor methods are among the most prominent tools for the numerical solution of high-dimensional problems where functions of multiple variables have to be approximated. These metho…
Geometric Structures in Tensor Representations (Final Release)
Antonio Falco, Wolfgang Hackbusch, Anthony Nouy
The main goal of this paper is to study the geometric structures associated with the representation of tensors in subspace based formats. To do this we use a property of the so-cal…
Interpolation of inverse operators for preconditioning parameter-dependent equations
Olivier Zahm, Anthony Nouy
We propose a method for the construction of preconditioners of parameter-dependent matrices for the solution of large systems of parameter-dependent equations. The proposed method…