Scattered node compact finite difference-type formulas generated from radial basis functions

By Grady Barrett Wright, Bengt Fornberg. Journal of Computational Physics, 2006

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Radial basis functions-finite differences collocation and a Unified Formulation for bending, vibration and buckling analysis of laminated plates, according to Murakami's zig-zag theory (2011, methodology): “[30] Fornberg B, Wright G, Larsson E.”
A local radial basis functions—Finite differences technique for the analysis of composite plates (2011, methodology): “As a result of the ill-conditioning, some authors proposed a radial basis function method with a local approach [24–28].”
Solving PDEs with radial basis functions * (2015, background): “(5.6) RBF-FD counterparts to (5.6) for scattered nodes can readily be generated, as described in Fornberg and Flyer (2015b) and Wright and Fornberg (2006).”
Seismic modeling with radial-basis-function-generated finite differences (2015, neutral): “If the nodes were located on a lattice, letting ε → 0 will usually (but not always) recover the standard FD approximation for the same stencil size (Driscoll and Fornberg, 2002; Wright and Fornberg, 2006).”
Stable Computations with Gaussian Radial Basis Functions (2011, methodology): “The RBF-QR method opens up new possibilities for all methods based on local RBF approximation, such as RBF domain decomposition methods [1], [20] and RBFgenerated scattered node finite differences [10], [24], [25], [27], [30], since it is now possible to compute for the best shape parameter value ev”