This paper revisits a new model reduction methodology based on the use of separated
representations, the so called Proper Generalized Decomposition—PGD. Space and time …

This paper revisits a powerful discretization technique, the Proper Generalized
Decomposition—PGD, illustrating its ability for solving highly multidimensional models. This …

In this paper we are addressing a new paradigm in the field of simulation-based engineering
sciences (SBES) to face the challenges posed by current ICT technologies. Despite the …

Kinetic theory models involving the Fokker–Planck equation can be accurately discretized
using a mesh support (finite elements, finite differences, finite volumes, spectral techniques …

We review the foundations and applications of the proper generalized decomposition (PGD),
a powerful model reduction technique that computes a priori by means of successive …

Kinetic theory models described within the Fokker–Planck formalism involve high-
dimensional spaces (including physical and conformation spaces and time). One appealing …

This paper focuses on the efficient solution of models defined in high dimensional spaces.
Those models involve numerous numerical challenges because of their associated curse of …

In this work, the PGD method will be considered for solving some problems of fluid
mechanics by looking for the solution as a sum of tensor product functions. In the first stage …

Solving the Helmholtz equation for a large number of input data in an heterogeneous media
and unbounded domain still represents a challenge. This is due to the particular nature of …

In this paper the coupling of a parabolic model with a system of local kinetic equations is
analyzed. A space–time separated representation is proposed for the global model (this is …