From the 1 of 5.5k papers with an AI index.
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19 papers · 2 filters
Design and analysis of a Schwarz coupling method for a dimensionally heterogeneous problem
Manel Tayachi Pigeonnat, Antoine Rousseau, Eric Blayo +2
In the present work, we study and analyze an efficient iterative coupling method for a dimensionally heterogeneous problem . We consider the case of 2-D Laplace equation with non s…
Derivation of the Isotropic Diffusion Source Approximation (IDSA) for Supernova Neutrino Transport by Asymptotic Expansions
Heiko Berninger, Emmanuel Frenod, Martin Gander +2
We present Chapman--Enskog and Hilbert expansions applied to the $\BigO(v/c)$ Boltzmann equation for the radiative transfer of neutrinos in core-collapse supernovae. Based on the L…
On a variant of random homogenization theory: convergence of the residual process and approximation of the homogenized coefficients
Frederic Legoll, Florian Thomines
We consider the variant of stochastic homogenization theory introduced in [X. Blanc, C. Le Bris and P.-L. Lions, C. R. Acad. Sci. Serie I 2006 and Journal de Mathematiques Pures et…
Small time heat kernel asymptotics at the cut locus on surfaces of revolution
Davide Barilari, Jacek Jendrej
In this paper we investigate the small time heat kernel asymptotics on the cut locus on a class of surfaces of revolution, which are the simplest 2-dimensional Riemannian manifolds…
Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration
Emeric Bouin, Vincent Calvez, Nicolas Meunier +4
Invasion fronts in ecology are well studied but very few mathematical results concern the case with variable motility (possibly due to mutations). Based on an apparently simple rea…
Numerical simulation of an energy-transport model for partially quantized particles
Paola Pietra, Nicolas Vauchelet
A coupled quantum-classical model describing the transport of electrons confined in nanoscale semiconductor devices is considered. Using the subband decomposition approach allows t…