报告人：Yixuan Wang (Peking University)
时间：2019-03-01 12:00-13:30
地点：Room 1560, Sciences Building No. 1
12:00-12:30 lunch；12:30-13:30 Talk
Abstract: We propose a Hermite-Galerkin spectral method to numerically solve the spatially homogeneous
Fokker-Planck-Landau equation with singular quadratic collision model. To compute the collision model,
we adopt a novel approximation formulated by a combination of a simple linear term and a quadratic term
very expensive to evaluate. Using the Hermite expansion, the quadratic term is evaluated exactly by
calculating the spectral coefficients. To deal with singularities, we make use of Burnett polynomials so that
even very singular collision model can be handled smoothly. Numerical examples demonstrate that our
method can capture low-order moments with satisfactory accuracy and performance. Future work include
the application to the inhomogenous case and proof of stability and convergence of the Hermite moment methods.
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