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 …

Vascular flow modelling can improve our understanding of vascular pathologies and aid in
developing safe and effective medical devices. Vascular flow models typically involve …

This chapter presents an overview of Model Order Reduction–a new paradigm in the field of
simulationbased engineering sciences, and one that can tackle the challenges and leverage …

This chapter presents an overview of model order reduction–a new paradigm in the field of
simulation‐based engineering sciences, and one that can tackle the challenges and …

This book is intended to help researchers overcome the entrance barrier to Proper
Generalized Decomposition (PGD), by providing a valuable tool to begin the programming …

This paper focuses on the curse of dimensionality in the numerical solution of the stationary
Fokker–Planck equation for systems with state-independent excitation. A tensor …

Parametric solutions make possible fast and reliable real-time simulations which, in turn
allow real time optimization, simulation-based control and uncertainty propagation. This …

This work deals with the question of the resolution of nonlinear problems for many different
configurations in order to build a 'virtual chart'of solutions. The targeted problems are three …

In this contribution, we present a space-time formulation of the Newmark integration scheme
for linear damped structures under both harmonic and transient excitations. The incremental …

This paper focuses on the non-incremental solution of transient coupled non-linear models,
in particular the one related to the Rayleigh–Bénard flow problem that models natural …