Different Formulations of the Kansa Method: Domain Discretization

Random sampling and unisolvent interpolation by almost everywhere analytic functions

“…e.g. [4] with the references therein), a sound theoretical foundation concerning unisolvence of the corresponding linear systems is still missing. Indeed, it was shown by Hon and Schaback [10] that there exist point configurations that lead to singularity of the collocation matrices, though these are very special and "rare"cases.…”

“…e.g. [4,5,20] with the references therein. One of their most relevant features is that they are scale invariant, thus avoiding the delicate matter of the scaling choice with scale dependent RBF, which is still an active research topic, cf.…”