Implement local version of density interpolation

[maltezfaria]

Experimental branch/PR to play around and track progress on ideas related to a local version of the density interpolation method.

[codecov]

Codecov Report

Attention: Patch coverage is 5.47945% with 138 lines in your changes missing coverage. Please review.

Project coverage is 62.09%. Comparing base (56f513f) to head (78b74d9).
Report is 85 commits behind head on main.

❗ Current head 78b74d9 differs from pull request most recent head e609f93

Please upload reports for the commit e609f93 to get more accurate results.

Files	Patch %	Lines
src/bdim.jl	0.00%	88 Missing ⚠️
src/mesh.jl	9.61%	47 Missing ⚠️
src/adaptive.jl	60.00%	2 Missing ⚠️
src/quadrature.jl	0.00%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main      #56      +/-   ##
==========================================
- Coverage   63.22%   62.09%   -1.13%     
==========================================
  Files          23       24       +1     
  Lines        2521     2744     +223     
==========================================
+ Hits         1594     1704     +110     
- Misses        927     1040     +113     

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