Imperial College London
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Professor Grigorios A. Pavliotis

Faculty of Natural Sciences, Department of Mathematics

Professor of Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8564g.pavliotis Website

 
 
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Location

 

736aHuxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Bonaille-Noel:2016:imanum/drv066,
author = {Bonaille-Noel, V and Carrillo, de la Plata J and Goudon, T and Pavlotis, G},
doi = {imanum/drv066},
journal = {IMA Journal of Numerical Analysis},
pages = {1536--1569},
title = {Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations},
url = {http://dx.doi.org/10.1093/imanum/drv066},
volume = {36},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - In this paper we study the diffusion approximation of a swarming model given by a systemof interacting Langevin equations with nonlinear friction. The diffusion approximationrequires the calculation of the drift and diffusion coefficients that are given as averages ofsolutions to appropriate Poisson equations. We present a new numerical method for computingthese coefficients that is based on the calculation of the eigenvalues and eigenfunctionsof a Schr¨odinger operator. These theoretical results are supported by numerical simulationsshowcasing the efficiency of the method.
AU  - Bonaille-Noel,V
AU  - Carrillo,de la Plata J
AU  - Goudon,T
AU  - Pavlotis,G
DO  - imanum/drv066
EP  - 1569
PY  - 2016///
SN  - 0272-4979
SP  - 1536
TI  - Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations
T2  - IMA Journal of Numerical Analysis
UR  - http://dx.doi.org/10.1093/imanum/drv066
UR  - http://hdl.handle.net/10044/1/29000
VL  - 36
ER  -
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