85 citations · 405 across the 34 of their papers we have counts for
5 papers · 1 filter
Wavelet-Fourier CORSING techniques for multi-dimensional advection-diffusion-reaction equations
Simone Brugiapaglia, Stefano Micheletti, Fabio Nobile +1
We present and analyze a novel wavelet-Fourier technique for the numerical treatment of multidimensional advection-diffusion-reaction equations based on the CORSING (COmpRessed Sol…
Stable high-order randomized cubature formulae in arbitrary dimension
Giovanni Migliorati, Fabio Nobile
We propose and analyse randomized cubature formulae for the numerical integration of functions with respect to a given probability measure defined on a domain $Γ\subseteq \math…
PDE-constrained optimal control problems with uncertain parameters using SAGA
Matthieu C. Martin, Fabio Nobile
We consider an optimal control problem (OCP) for a partial differential equation (PDE) with random coefficients. The optimal control function is a deterministic, distributed forcin…
Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure
Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia +1
In this work, we consider the approximation of Hilbert space-valued meromorphic functions that arise as solution maps of parametric PDEs whose operator is the shift of an operator…
Least-Squares Padé approximation of parametric and stochastic Helmholtz maps
Francesca Bonizzoni, Fabio Nobile, Ilaria Perugia +1
The present work deals with the rational model order reduction method based on the single-point Least-Square (LS) Padé approximation technique introduced in [3]. Algorithmical aspe…