Klein, Georges Berrut, Jean-Paul 2012-04-04 Derivatives of polynomial interpolants lead in a natural way to approximations of derivatives of the interpolated function, e.g., through finite differences. We extend a study of the approximation of derivatives of linear barycentric rational interpolants and present improved finite difference formulas arising from these interpolants. The formulas contain the classical finite differences as a special case and are more stable for calculating one-sided derivatives as well as derivatives close to boundaries. application/pdf https://folia.unifr.ch/global/documents/302512 https://folia.unifr.ch/documents/302512/files/kle_lrf.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1137/110827156 info:eu-repo/semantics/openAccess License undefined SIAM Journal on Numerical Analysis. - 2012, vol. 50, no. 2, p. 643–656 Linear rational interpolation Barycentric form High order derivatives Finite differences info:eu-repo/classification/udc/51 Linear rational finite differences from derivatives of barycentric rational interpolants http://purl.org/coar/resource_type/c_6501