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Article | REF: AF1480 V1

Function approximation

Author: Jean-Paul BERRUT

Publication date: October 10, 2013

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6. Application to derivation and integration

Distributed interpolation nodes according to 1−x2 make it possible to realize the "fundamental idea" efficiently for very smooth functions. This has been done over the last decade by Trefethen and a host of collaborators, starting with Battles , for Chebyshev points of the second kind. The corresponding software, Chebfun, a Matlab toolbox available for free download, decomposes (if necessary) the interval of definition of a function f into sub-intervals,...

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Application to derivation and integration
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