Generalized Hermite interpolation via matrix-valued conditionally positive definite functions
Mathematics of Computation
Error estimates for scattered data interpolation on spheres
Mathematics of Computation
Error estimates for interpolating div--curl splines under tension on a bounded domain
Journal of Approximation Theory
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We introduce a class of matrix-valued radial basis functions (RBFs) of compact support that can be customized, e.g. chosen to be divergence-free. We then derive and discuss error estimates for interpolants and derivatives based on these matrix-valued RBFs.