From the 1 of 5.5k papers with an AI index.
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4 papers · 2 filters
Probabilistic analysis of the upwind scheme for transport
Francois Delarue, Frédéric Lagoutière
We provide a probabilistic analysis of the upwind scheme for multi-dimensional transport equations. We associate a Markov chain with the numerical scheme and then obtain a backward…
Long time simulation of a beam in a periodic focusing channel via a two-scale PIC-method
Emmanuel Frénod, Francesco Salvarani, Eric Sonnendrücker
We study the two-scale asymptotics for a charged beam under the action of a rapidly oscillating external electric field. After proving the convergence to the correct asymptotic sta…
Modeling Wildland Fire Propagation with Level Set Methods
V. Mallet, D. E. Keyes, F. E. Fendell
Level set methods are versatile and extensible techniques for general front tracking problems, including the practically important problem of predicting the advance of a firefront…
Reduced-Basis approach for homogenization beyond the periodic setting
Sébastien Boyaval
We consider the computation of averaged coefficients for the homogenization of elliptic partial differential equations. In this problem, like in many multiscale problems, a large n…