Title	On the need of introducing the exponential integrators for some PDEs arising in reactive microfluidics
Creator	Poncet, Philippe
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-12-06T14:07
Description	In this talk, we will describe some fractional step (time-spitting) strategies for the Navier-Stokes, Stokes and stationary Stokes coupled to transport-diffusion-reaction. The main objective is that the resulting PDEs can be solved numerically by fast solvers (particle methods, fast interpolation, FFT). It turns out that the flow computation itself doesn't require sophisticated numerical analysis since the data are structured, but the splitting of transport-reaction-diffusion bumps into some limitations due to the time multi-scale feature and stiffness. One of the most interesting perspectives is the use of exponential integrators in order to handle different operators at the same time and blend it together with particle-strength-exchange schemes.
Extent	37.0
Subject	Mathematics; Numerical analysis; Partial differential equations; Scientific computing
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Pau
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-06-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0379285
URI	http://hdl.handle.net/2429/70508
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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On the need of introducing the exponential integrators for some PDEs arising in reactive microfluidics Poncet, Philippe

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