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- W2197971808 abstract "In this study, we develop a class of backward semi-Lagrangian finite difference methods for solving nonlinear guiding center models. A key problem in the time discretization is to find the starting point of the characteristic curves arriving at each grid point, which is a highly nonlinear problem with a self-consistency imposed by the Poisson equation. The proposed method is based on the error correction method recently developed by the au-thors. For the error correction method, we introduce a modified Euler’s polygon and solve the induced asymptotically linear differential equation with the mid-point quadrature rule to get the error correction term. It is proved that the proposed method is iteration free and has the convergence order 3 in space and 2 in time. In particular, it is shown that the proposed method has a good performance in computational cost together with a superior mass conservation and a similar conservation in the total kinetic energy compared to the conventional second-order iteration methods." @default.
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- W2197971808 date "2013-05-01" @default.
- W2197971808 modified "2023-09-28" @default.
- W2197971808 title "A second order backward semi-Lagrangian scheme for guiding center problems" @default.
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