39 citations · 99 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…