39 citations · 99 across the 7 of their papers we have counts for
10 papers
Non-local competition slows down front acceleration during dispersal evolution
Vincent Calvez, Christopher Henderson, Sepideh Mirrahimi +2
We investigate the super-linear spreading in a reaction-diffusion model analogous to the Fisher-KPP equation, but in which the population is heterogeneous with respect to the dispe…
Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures
Stéphane Descombes, Max Duarte, Thierry Dumont +3
A new solver featuring time-space adaptation and error control has been recently introduced to tackle the numerical solution of stiff reaction-diffusion systems. Based on operator…
Statistical Inference for Oscillation Processes
Rainer Dahlhaus, Thierry Dumont, Sylvain Le Corff +1
A new model for time series with a specific oscillation pattern is proposed. The model consists of a hidden phase process controlling the speed of polling and a nonparametric curve…
Analysis of operator splitting in the non-asymptotic regime for nonlinear reaction-diffusion equations. Application to the dynamics of premixed flames
Stéphane Descombes, Max Duarte, Thierry Dumont +3
In this paper we mathematically characterize through a Lie formalism the local errors induced by operator splitting when solving nonlinear reaction-diffusion equations, especially…
Simultaneous Localization and Mapping Problem in Wireless Sensor Networks
Thierry Dumont, Sylvain Le Corff
Mobile device localization in wireless sensor networks is a challenging task. It has already been addressed when the WiFI propagation maps of the access points are modeled determin…
Nonparametric regression on hidden phi-mixing variables: identifiability and consistency of a pseudo-likelihood based estimation procedure
Thierry Dumont, Sylvain Le Corff
This paper outlines a new nonparametric estimation procedure for unobserved phi-mixing processes. It is assumed that the only information on the stationary hidden states (Xk) is gi…
Context Tree Estimation in Variable Length Hidden Markov Models
Thierry Dumont
We address the issue of context tree estimation in variable length hidden Markov models. We propose an estimator of the context tree of the hidden Markov process which needs no pri…
Adaptive time splitting method for multi-scale evolutionary partial differential equations
Stéphane Descombes, Max Duarte, Thierry Dumont +2
This paper introduces an adaptive time splitting technique for the solution of stiff evolutionary PDEs that guarantees an effective error control of the simulation, independent of…
A new numerical strategy with space-time adaptivity and error control for multi-scale streamer discharge simulations
Max Duarte, Zdenek Bonaventura, Marc Massot +3
This paper presents a new resolution strategy for multi-scale streamer discharge simulations based on a second order time adaptive integration and space adaptive multiresolution. A…
Emergence of Jupiter's vortices and jets from random initial conditions
Freddy Bouchet, Thierry Dumont
We explain the emergence and stability of the most important jets and vortices, in the highly turbulent Jupiter's atmosphere, by a statistical mechanics of the potential vorticity…