eng
Klein, Georges
Berrut, Jean-Paul
Linear rational finite differences from derivatives of barycentric rational interpolants
http://doc.rero.ch/record/29723/files/kle_lrf.pdf
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.
2012-09-04T07:35:00Z
http://doc.rero.ch/record/29723