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Improve conditioning of "natural" system matrix #73

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merged 8 commits into from
Jul 4, 2023
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When constructing a recombined basis obeying natural boundary conditions, we now normalise the computed derivatives of B-splines at the boundaries so that the resulting linear systems (needed to obtain recombination coefficients) are better conditioned. The improvements are most important when using splines of high order.

Closes #71.

When constructing a recombined basis obeying natural boundary
conditions, we now normalise the computed derivatives of B-splines at
the boundaries so that the resulting linear systems (needed to obtain
recombination coefficients) are better conditioned. The improvements are
most important when using splines of high order.

Closes #71.
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codecov-commenter commented Jul 2, 2023

Codecov Report

Merging #73 (c519fbf) into master (b2734a3) will increase coverage by 0.00%.
The diff coverage is 100.00%.

@@           Coverage Diff           @@
##           master      #73   +/-   ##
=======================================
  Coverage   95.38%   95.38%           
=======================================
  Files          35       35           
  Lines        2187     2190    +3     
=======================================
+ Hits         2086     2089    +3     
  Misses        101      101           
Impacted Files Coverage Δ
src/BSplineKit.jl 100.00% <ø> (ø)
src/Splines/spline.jl 94.81% <ø> (ø)
src/Recombinations/natural.jl 97.59% <100.00%> (+0.18%) ⬆️

... and 3 files with indirect coverage changes

@jipolanco jipolanco merged commit 5596054 into master Jul 4, 2023
@jipolanco jipolanco deleted the cond-natural branch July 4, 2023 05:54
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Precompilation errors
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