Constructing nested nodal sets for multivariate polynomial interpolation
The authors introduce a robust method for choosing multivariate polynomial interpolation nodes. Their method can produce an arbitrary number of nodes and is not constrained by the dimension of a complete polynomial space. They also present examples to show that the method yields nodal sets that behave well with respect to standard interpolation diagnostics: the Lebesgue constant, the Vandermonde determinant, and the Vandermonde condition number.
scientific article; zbMATH DE number 6248295