Fourier Galerkin approximation of mean field control problems

The purpose of this work is to provide a finite dimensional approximation of the solution to a mean field optimal control problem set on the \(d\)-dimensional torus. The approximation is obtained by means of a Fourier-Galerkin method, the main principle of which is to convolve probability measures o...

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Vydané v:	arXiv.org
Hlavní autori:	Delarue, François, Martini, Mattia
Médium:	Paper
Jazyk:	English
Vydavateľské údaje:	Ithaca Cornell University Library, arXiv.org 23.10.2024
Predmet:	Approximation Dirichlet problem Galerkin method Initial conditions Numerical analysis Optimal control Polynomials Toruses Trajectory control Trajectory optimization
ISSN:	2331-8422
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