Radial Basis Functions: Basics, Advanced Topics and Meshfree Methods for Transport Problems
نویسنده
چکیده
This invited contribution first reviews basic features of multivariate interpolation by radial basis functions, before selected of its advanced topics are addressed, including recent results concerning local polyharmonic spline interpolation. The latter is one main ingredient of a novel class of adaptive meshfree semi-Lagrangian methods for transport problems. The construction of these particle-based advection schemes is discussed in detail. Numerical examples concerning meshfree flow simulation are provided.
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