output
19992025
most citedNonlinear waves in networks: a simple approach using the sine-Gordon equation

42 citations

researchers with a paper here
collaborating institutions

54 papers

stat.AP2025

Geographically Weighted Regression for Air Quality Low-Cost Sensor Calibration

Jean-Michel Poggi, Bruno Portier, Emma Thulliez

This article focuses on the use of Geographically Weighted Regression (GWR) method to correct air quality low-cost sensors measurements. Those sensors are of major interest in the…

math.OC2025

Numerical solving of an optimal control problem in large time horizon: the aerial vehicle guidance

Veljko Askovic, Emmanuel Trélat, Hasnaa Zidani

In this paper we consider an optimal control problem in large time horizon and solve it numerically. More precisely, we are interested in an aerial vehicle guidance problem: launch…

math.AP2024

Limits of non-local approximations to the Eikonal equation on manifolds

Jalal M. Fadili, Nicolas Forcadel, Rita Zantout

In this paper, we consider a non-local approximation of the time-dependent Eikonal equation defined on a Riemannian manifold. We show that the local and the non-local problems are…

math.NA2024

Influence of gauges in the numerical simulation of the time-dependent Ginzburg-Landau model

Cyril Tain, Jean-Guy Caputo, Ionut Danaila

The time-dependent Ginzburg-Landau (TDGL) model requires the choice of a gauge for the problem to be mathematically well-posed. In the literature, three gauges are commonly used: t…

math.AP2024★ 2 cited

Germs for scalar conservation laws: the Hamilton-Jacobi equation point of view

Nicolas Forcadel, Cyril Imbert, Regis Monneau

We prove that the entropy solution to a scalar conservation law posed on the real line with a flux that is discontinuous at one point (in the space variable) coincides with the der…

math.AP2024

Stochastic porous media equation with Robin boundary conditions, gravity-driven infiltration and multiplicative noise

Ioana Ciotir, Dan Goreac, Juan Li +1

We aim at studying a novel mathematical model associated to a physical phenomenon of infiltration in an homogeneous porous medium. The particularities of our system are connected t…