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Lecture Notes in Computational Science and Engineering
In previous work, a new adaptive meshfree advection scheme for numerically solving linear transport equations has been proposed. The scheme, being a combination of an adaptive semi-Lagrangian method and local radial basis function interpolation, is essentially a method of backward characteristics. The adaptivity of the meshfree advection scheme relies on customized rules for the refinement and coarsening of scattered nodes. In this paper, the method is extended to nonlinear transport equations.doi:10.1007/978-3-642-56103-0_2 fatcat:xhtgtq52xfcy3greogntlz7afa