NANASep 24, 2018

Chebyshev Interpolation for Function in 1D

arXiv:1810.04282
AI Analysis

Provides a method for root-finding in 1D, but the approach is not novel and results are incremental.

This work applies Chebyshev interpolation to find all roots of a function within an interval, demonstrating its effectiveness through numerical examples.

This research is concerned with finding the roots of a function in an interval using Chebyshev Interpolation. Numerical results of Chebyshev Interpolation are presented to show that this is a powerful way to simultaneously calculate all the roots in an interval.

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

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