MS&A publishes advanced textbooks and research-level monographs that will illustrate the
scientific foundations of the modeling and simulation process as well as concrete instances …

In this work, we consider the numerical computation of ground states and dynamics of single-
component Bose–Einstein condensates (BECs). The corresponding models are spatially …

This paper studies the compression of partial differential operators using neural networks.
We consider a family of operators, parameterized by a potentially high-dimensional space of …

Le but de cette collection, créée par la Société de Mathématiques Appliquées et
Industrielles (SMAI), est d'éditer des cours avancés de Master et d'école doctorale ou de …

In this paper, we consider an elliptic eigenvalue problem with multiscale, randomly
perturbed coefficients. For an efficient and accurate approximation of the solutions for many …

In this thesis, we study a deep-learning-based approach to the compression of multi-scale
partial differential operators characterized by highly heterogeneous coefficients. Such …

In this thesis we develop and analyze generalized finite element methods for time-
dependent partial differential equations (PDEs). The focus lies on equations with rapidly …

The present chapter is an introduction to computational approaches for multiscale problems
such as (1). We successively discuss herein three different categories of methods. The first …

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