The approximation power of moving least-squares
Mathematics of Computation
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
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A nonstationary approximation scheme on Rd using scattered translates of a smooth radial basis function (e.g., Gaussian) is developed. The scheme is nonstationary and shown to provide spectral approximation orders, i.e., approximation orders that depend only on the smoothness of the approximands.