64 citations · 349 across the 26 of their papers we have counts for
30 papers
Covariance models and Gaussian process regression for the wave equation. Application to related inverse problems
Iain Henderson, Pascal Noble, Olivier Roustant
In this article, we consider the general task of performing Gaussian process regression (GPR) on pointwise observations of solutions of the 3 dimensional homogeneous free space wav…
Characterization of the second order random fields subject to linear distributional PDE constraints
Iain Henderson, Pascal Noble, Olivier Roustant
Let be a linear differential operator acting on functions defined over an open set . In this article, we characterize the measurable second ord…
Well-posedness and stability analysis of a landscape evolution model
Julie Binard, Pierre Degond, Pascal Noble
In this paper, we consider a system of partial differential equations modeling the evolution of a landscape. A ground surface is eroded by the flow of water over it, either by sedi…
Spectral instability of small-amplitude periodic waves of the electronic Euler-Poisson system
Pascal Noble, Luis Miguel Rodrigues, Changzhen Sun
The present work shows that essentially all small-amplitude periodic traveling waves of the electronic Euler-Poisson system are spectrally unstable. This instability is neither mod…
Stochastic Processes Under Linear Differential Constraints : Application to Gaussian Process Regression for the 3 Dimensional Free Space Wave Equation
Iain Henderson, Pascal Noble, Olivier Roustant
Let be a linear differential operator over and a second order stochastic process. In the first part of this a…
Augmented Skew-Symetric System for Shallow-Water System with Surface Tension Allowing Large Gradient of Density
Jean-Paul Vila, Gael Richard, Didier Bresch +7
In this paper, we introduce a new extended version of the shallow water equations with surface tension which is skew-symmetric with respect to the L2 scalar product and allows for…