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 …

Parameter studies are everywhere in computational science. Complex engineering
simulations must run several times with different inputs to effectively study the relationships …

Many problems in scientific computing are intractable with classical numerical techniques.
These fail, for example, in the solution of high-dimensional models due to the exponential …

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 …

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 …

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 …

Dynamic Data-Driven Application Systems—DDDAS—appear as a new paradigm in the
field of applied sciences and engineering, and in particular in Simulation-based Engineering …

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 …

Composite materials and their related manufacturing processes involve many modeling and
simulation issues, mainly related to their multi-physics and multi-scale nature, to the strong …