In many situations across computational science and engineering, multiple computational
models are available that describe a system of interest. These different models have varying …

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 …

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 …

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

In this work, we introduce a consistent error estimator for numerical simulations performed
by means of the proper generalized decomposition (PGD) approximation. This estimator …

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 …

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 …

We discuss the use of hierarchical collocation to approximate the numerical solution of
parametric models. With respect to traditional projection-based reduced order modeling, the …

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 …