Wavefield travel time tomography is used for a variety of purposes in acoustics, geophysics
and non-destructive testing. Since the problem is non-linear, assessing uncertainty in the …

We design a monotone finite difference discretization of the second boundary value problem
for the Monge–Ampère equation, whose main application is optimal transport. We prove the …

We address the computation of paths globally minimizing an energy involving their
curvature, with given endpoints and tangents at these endpoints, according to models …

When traveling through a graph with an accessible deterministic path to a target, is it ever
preferable to resort to stochastic node-to-node transitions instead? And if so, what are the …

We introduce a numerical algorithm for solving anisotropic eikonal equations, whose
complexity is quasi-linear O (N ln^ 2 (N/ε)) with respect to the number N of discretization …

The first arrival traveltime for the propagation of a wave, in the high frequency
approximation, is described by the eikonal equation, or possibly a variant with coefficients …

We present a numerical method for computing the first arrival time of seismic waves. The
scheme can tackle 3D media with elastic properties defined by a fully anisotropic Hooke …

Je développe un schéma numérique pour calculer le temps de premiere arrivée d'ondes
sismiques qui se propagent dans le sous-sol. Ce temps de premiere arrivée est solution …

In this thesis, we show how Voronoi's first reduction may be used in order to build monotone
finite difference discretizations on Cartesian grids of some degenerate elliptic differential …