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- W2041691829 abstract "Abstract The Power Transform method of integrating the nonlinear Vlasov equation is applied to two physically significant problems and the solutions are compared with the results of the Fourier-Hermite method. The problems considered are one dimensional, with periodic boundary conditions and involve (1) Landau damping in a Maxwellian plasma, and (2) the two-beam instability with equal electron beams. The Power Transform method is discussed and several truncation techniques are presented. It is found that an extrapolation procedure can be used which allows a truncation of the infinite matrix without causing numerical instabilities in the nonlinear system. Close quantitative agreement between the results of the two methods is found." @default.
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- W2041691829 date "1973-04-01" @default.
- W2041691829 modified "2023-10-18" @default.
- W2041691829 title "A comparison of the Fourier-Hermite and Power Transform solutions of the nonlinear Vlasov equation" @default.
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- W2041691829 doi "https://doi.org/10.1016/0021-9991(73)90134-4" @default.
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