Even if numerical simulation of the Burgers' equation is well documented in the literature, a
detailed literature survey indicates that gaps still exist for comparative discussion regarding …

High speed trains are currently meant to run faster and to carry heavier loads, while being
less energy consuming and still respecting the security and comfort certification criteria. To …

Reduced order modeling has gained considerable attention in recent decades owing to the
advantages offered in reduced computational times and multiple solutions for parametric …

The computational cost of parametric studies currently represents the major limitation to the
application of simulation-based engineering techniques in a daily industrial environment …

An extension of the well‐known Neville–Aitken's algorithm for interpolation on the
Grassmann manifold G m (ℝ n) in the framework of parametric model order reduction is …

Modeling large systems usually requires metamodels or response surfaces (RSs) of sub-
systems. These metamodels are using sampling points in a parameter domain and related …

Purpose–The purpose of this paper is to develop an efficient numerical scheme for non-
linear two-dimensional (2D) parabolic partial differential equations using modified bi-cubic B …

Proper Generalized Decomposition (PGD) is a method which consists in looking for the
solution to a problem in a separate form. This approach has been increasingly used over the …

This paper presents a method to embed the Gauss–Newton approximated tensor (GNAT)
reduced order model (ROM) into the hybrid snapshot simulation to enhance generation …

Due to scaling effects, when dealing with vector-valued random fields, the classical
Karhunen–Loève expansion, which is optimal with respect to the total mean square error …