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Dark-Bright Discrete Solitons: A Numerical Study of Existence, Stability and Dynamics
Solitons Dark solitons Discrete Nonlinear Schrodinger equations
2010/12/28
In the present work, we numerically explore the existence and stability properties of di erent types of con gurations of dark-bright solitons, dark-bright soliton pairs
and pairs of dark-bright and d...
This paper deals with the relationship between asymptotic behavior
of the numerical solution and that of the true solution itself for
fixed step-sizes. The numerical solution is viewed as a dynamica...
Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit
Spectral methods Boltzmann equation cut-off assumption Fokker-Planck-Landau equation
2010/12/14
In this paper we study the numerical passage from the spatially homogeneous Boltzmann equation without cut-off to the Fokker-Planck-Landau equation in the socalled grazing collision limit.