32 citations · 43 across the 12 of their papers we have counts for
Showing 2004Show all
2 papers · 1 filter
math.NA2004★ 1 cited
How to overcome the numerical instability of the scheme of divided differences?
Alicja Smoktunowicz, Przemyslaw Kosowski, Iwona Wrobel
The scheme of divided differences is widely used in many approximation and interpolation problems. Computing the Newton coefficients of the interpolating polynomial is the first st…
math.NA2004★ 8 cited
On improving the accuracy of Horner's and Goertzel's algorithms
Alicja Smoktunowicz, Iwona Wróbel
It is known that Goertzel's algorithm is much less numerically accurate than the Fast Fourier Transform (FFT)(Cf. \cite{gen:69}). In order to improve accuracy we propose modificati…