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A theoretical investigation of average H/V ratios

Fäh, Donat ; Kind, Fortunat ; Giardini, Domenico

In: Geophysical Journal International, 2001, vol. 145, no. 2, p. 535-549

Linear rational finite differences from derivatives of barycentric rational interpolants

Klein, Georges ; Berrut, Jean-Paul

In: SIAM Journal on Numerical Analysis, 2012, vol. 50, no. 2, p. 643–656

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...