Crainic, M.; Crainic, N. Polya conditions for multivariate Birkhoff interpolation: from general to rectangular sets of nodes. (English) Zbl 1212.65039 Acta Math. Univ. Comen., New Ser. 79, No. 1, 9-18 (2010). This paper deals with the study of uniform Birkhoff schemes with a rectangular set of nodes. Polya conditions on these schemes are presented. The authors also recall and re-interpret the standard Polya conditions and show that they arise because of a very simple reason. Some examples are presented. Reviewer: Pavol ChocholatĂ˝ (Bratislava) Cited in 1 Document MSC: 65D05 Numerical interpolation 41A05 Interpolation in approximation theory 41A63 Multidimensional problems Keywords:Birkhoff interpolation; multivariate interpolation; Polya condition; numerical examples PDFBibTeX XMLCite \textit{M. Crainic} and \textit{N. Crainic}, Acta Math. Univ. Comen., New Ser. 79, No. 1, 9--18 (2010; Zbl 1212.65039) Full Text: EuDML