Update README and documentation

[mkitti]

Interpolations.jl documentation update

Changes so far

• Rearranged and updated README.md
• Update list of other packages
• Update documentation badges
• Update NEWS.md for 0.14 changes

To Do:

• Review examples and recommendations for Docs direct users to slow options #462
• Check spelling
• Check gammar
• Review links
• Add additional interpolation packages
• Add examples and illustrations

Fixes

Fixes #485

Preview of documentation:

• Documentation: https://juliamath.github.io/Interpolations.jl/previews/PR499/
• README.md: https://github.com/JuliaMath/Interpolations.jl/blob/mkitti/update_docs/README.md
• NEWS.md: https://github.com/JuliaMath/Interpolations.jl/blob/mkitti/update_docs/NEWS.md

[codecov]

Codecov Report

Merging #499 (87b427a) into master (5404e37) will not change coverage.
The diff coverage is n/a.

@@           Coverage Diff           @@
##           master     #499   +/-   ##
=======================================
  Coverage   86.91%   86.91%           
=======================================
  Files          27       27           
  Lines        1819     1819           
=======================================
  Hits         1581     1581           
  Misses        238      238           

Impacted Files	Coverage Δ
src/convenience-constructors.jl	100.00% <ø> (ø)

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[mkitti]

Thank you for the edits @ranocha !

[ranocha]

Thank you for your effort on improving and maintaining this nice package, @mkitti!

[PaulSoderlind]

README, Example now reads

xs = 1:0.2:5
f(x) = log(x)
A = [f(x) for x in xs]

Why not simplify to

xs = 1:0.2:5
A = log.(xs)

[ederag]

Unless one of them is automatically generated from the other,
maybe ditch docs/src/other_packages.mdand just link to the
"Other Interpolation Packages" section of the README.md ?

[ederag]

It seems the list is meant to be in alphabetical order.
If indeed the case, then

• this should be moved upwards, between KissSmoothing.jl and LinearInterpolators.jl
• the LinearInterpolators.jl line should then end with "...based on InterpolationKernels.jl, above."
  (rather than "below")

The same fix should apply to docs/src/other_packages.md.

[mkitti]

I'm going to merge this after I get tests to pass so that I can move on to #501 .

[mkitti]

Thank you for everyone's help! I'm going to merge this now. Feel free to open more pull requests if you notice any other issues.