most citedA new model for the emergence of blood capillary networks

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math.NA2019

Mean-field limit of interacting 2D nonlinear stochastic spiking neurons

Benjamin Aymard, Fabien Campillo, Romain Veltz

In this work, we propose a nonlinear stochastic model of a network of stochastic spiking neurons. We heuristically derive the mean-field limit of this system. We then design a Mont…

math.NA2019

A linear, second-order, energy stable, fully adaptive finite-element method for phase-field modeling of wetting phenomena

B. Aymard, U. Vaes, M. Pradas +1

We propose a new numerical method to solve the Cahn-Hilliard equation coupled with non-linear wetting boundary conditions. We show that the method is mass-conservative and that the…