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Applications of linear barycentric rational interpolation

Klein, Georges ; Berrut, Jean-Paul (Dir.)

Thèse de doctorat : Université de Fribourg, 2012 ; no. 1762.

This thesis is a collection of properties and applications of linear barycentric rational interpolation, mainly with the weights presented by Floater and Hormann in 2007. We are motivated by the counterintuitive and provable impossibility of constructing from equispaced data an approximation scheme that converges very rapidly to the approximated function and is simultaneously computationally...