Newton-Barycentric-Thiele Trivariate Blending Rational Interpolation on Rectangular Parallelepiped Grid
2012
The advantages of barycentric interpolation for mulations in computation are small number of floating point operations and good numerical stability. Adding a new data pair, the barycentric interpolation formula don't require new computation all of basis functions. Thiele-type continued fractions interpolation and Newton interpolation may be the favoured nonlinear and linear interpolations, A new kind of Tri-variate blending rational interpolants was constructed by combining of barycentric interpolation, Thiele continued fractions and Newton interpolation. We discussed the interpolation theorem with no poles and error estimation.
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