摘要
We compute multivalued solutions of one-and two-dimensional pressureless gas dynamics equations by deterministic particle methods.Point values of the computed solutions are to be recovered from their singular particle approximations using some smoothing procedure.We study several recovery strategies and demonstrate ability of the particle methods to achieve high resolution.
基金
The research of A.Chertock was supported in part by the NSF Grants DMS-0410023 and DMS-0712898
The research of A.Kurganov was supported in part by the NSF Grant DMS-0610430.
