Convergence rate for the method of moments with linear closure relations | Zendy

Yves Bourgault | Zendy; Damien Broizat | Zendy; PierreEmmanuel Jabin | Zendy

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Convergence rate for the method of moments with linear closure relations

Author(s) -

Yves Bourgault,

Damien Broizat,

PierreEmmanuel Jabin

Publication year - 2014

Publication title -

kinetic and related models

Language(s) - English

Resource type - Journals

eISSN - 1937-5093

pISSN - 1937-5077

DOI - 10.3934/krm.2015.8.1

Subject(s) - closure (psychology) , smoothness , convergence (economics) , jump , rate of convergence , stability (learning theory) , mathematics , simple (philosophy) , moment closure , mathematical analysis , computer science , physics , mechanics , computer network , channel (broadcasting) , philosophy , epistemology , quantum mechanics , machine learning , economics , turbulence , market economy , economic growth

We study linear closure relations for the moments' method applied to simple kinetic equations. The equations are linear collisional models (velocity jump processes) which are well suited to this type of approximation. In this simplified, 1 dimensional setting, we are able to prove stability estimates for the method (with a kinetic interpretation by a BGK model). Moreover we are also able to obtain convergence rates which automatically increase with the smoothness of the initial data.

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