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Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations

2016
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IMA Journal of Numerical Analysis
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In this paper we study the diffusion approximation of a swarming model given by a system of interacting Langevin equations with nonlinear friction. The diffusion approximation requires the calculation of the drift and diffusion coefficients that are given as averages of solutions to appropriate Poisson equations. We present a new numerical method for computing these coefficients that is based on the calculation of the eigenvalues and eigenfunctions of a Schrödinger operator. These theoretical

doi:10.1093/imanum/drv066
fatcat:yxjpsmr3gjcgzdoxpgsvoaobcq