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The alpha-band of the EEG appears as a continuous line in the frequency domain, however wavelet analysis reveals that it is in fact fragmented. We propose to model this fragmentation using stochastic differential equation and extract patterns to predict in real-time from the EEG signal, possible tra

The objectives of the RedLUM project are to develop and use mathematical and computational tools for real-time estimation and short-term prediction of 3D fluid flows, using limited computational resources. This will be made possible by coupling data, numerical simulations and parsimonious fluid flow

The aerodynamics of flapping flight is an interdisciplinary multiphysics and multiscale problem, which makes it a challenge for numerical simulations. It involves the physical fields of fluid- and solid mechanics in close interaction with one another, and the flow field involves a multitude of activ

HIPOTHEC is a joint research project between EDF R&D and 4 academic partners, grouped into 2 geographical poles: Inria Lille and the UPHF (Valenciennes) in the North, and the Université de Montpellier and Université Côte d'Azur (Nice) in the South. The aim of the project is to devise, mathematically

Because of its low cost, interactive simulations are of great interest in a wide range of domains such as education, industrial risk assessment, design, etc., usually through Virtual Reality devices. The governing equations must be solved at each time step faster than the simulation time step, i.e.

Metals are structural materials par excellence as they posses a rare combination of strength and ductility. These properties are due to the motion and interaction of dislocations, line defects in the crystal structure. Quantitative prediction of dislocation-enabled plasticity is a “grand challenge”

The Square Kilometer Array Observatory (SKAO) is an ambitious international project to develop the world’s largest radio observatory. Its two telescope sites, in Australia and South Africa, will observe celestial objects in a wide range of radio frequencies with unprecedented sensitivity, allowing s

The spatial distribution of sunspots as a function of time (butterfly diagram) gives important indications for solar dynamo models. In this project, we plan to demonstrate by advanced numerical simulations that the latitude of sunspots can also be found for distant stars using only information from

This project concerns the study, development and enhancement of a new class of recently-introduced high-order numerical methods for time-dependent partial differential equations governing wave propagation and diffusion phenomena in solids, fluids and their interactions. Such methods are based on an

Although the diverse uncertainty quantification tools they provide, there are still settings where Gaussian processes would be relevant but are not necessarily explored. This project focuses on simulation and identification problems where random fields are inputs in mechanical systems. Our contribut

Physical cosmology is dominated by a successful standard model connecting high-energy physics to observational astronomy, in which the Universe evolves from the “Big Bang” to its present state. However, we currently do not know some key elements, such as the cause of the accelerated expansion and th

The year 2022 has witnessed the advent of the first supercomputer able to perform over 10^18 floating-point operations per second, officially launching the exascale computing era. While exascale computing holds promises of unprecedented computational power, it also brings numerous significant challe

Turbulent flows dictate the performance characteristics of numerous industrial equipment and environmental applications. Wall-bounded flows have been extensively investigated for over two centuries, however our knowledge still pitiful modest, and this is even more true for practical flows. At low Re

While the rise of high performance computing is tremendous, a majority of codes is still not fully adapted to the wide diversity of current and upcoming architectures, thus pushing computer scientists and physicists to modify and optimize them to better exploit supercomputers. In this line, the scop

The scientific goal of MCMET is to develop a novel strategy for simulating complex energy systems by building upon recent advances in Monte Carlo (MC) path-sampling methods. Recent advances in statistical physics and computer graphics have paved the way to tackle a long standing issue: solving non

This project deals with some generalizations of Optimal Transport problems and their applications. We plan to tackle three main topics: multi-marginal optimal transport (and applications in risk measures and quantum chemistry), multi-population models in urban planning and entropic optimal transpor