Add sparselu benchmark

[j-fu]

So far with direct solvers.

[ai-maintainer]

AI-Maintainer Review for PR - Add sparselu benchmark

Title and Description 👍

Title and Description

The title of the pull request is clear and concise, effectively communicating the purpose of the changes, which is to add a benchmark for sparse LU factorization. However, the description could be improved to provide more context and explanation about the changes. It would be helpful to include details about the motivation behind adding the benchmark, any specific goals or objectives, and how the changes were tested.

Scope of Changes 👍

Scope of Changes

The changes are narrowly focused on adding a new benchmark for sparse LU factorization. There are no other changes or modifications to existing code or functionality. This is good practice as it keeps the PR focused on a single issue.

Testing ⚠️

Testing

The description does not provide any information about how the changes were tested. It would be beneficial to include details about the testing approach, such as the specific test cases used, the expected results, and any relevant performance metrics or comparisons. This would help reviewers and future users understand how the changes were validated and ensure the reliability of the benchmark.

Documentation ⚠️

Documentation

The following functions do not have docstrings: `lattice`, `fdmatrix`, `run_and_plot`. It is important to add docstrings to these functions to describe their behavior, arguments, and return values. This will improve the readability and maintainability of the code.

Suggested Changes

• Add a more detailed description to the PR explaining the motivation behind the changes, the specific goals or objectives, and how the changes were tested.
• Add docstrings to the lattice, fdmatrix, and run_and_plot functions to describe their behavior, arguments, and return values.

Reviewed with AI Maintainer

[codecov]

Codecov Report

Merging #365 (8c1c175) into main (3881230) will increase coverage by 1.35%.
The diff coverage is n/a.

@@            Coverage Diff             @@
##             main     #365      +/-   ##
==========================================
+ Coverage   22.00%   23.35%   +1.35%     
==========================================
  Files          20       20              
  Lines        1386     1387       +1     
==========================================
+ Hits          305      324      +19     
+ Misses       1081     1063      -18     

see 3 files with indirect coverage changes

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[ChrisRackauckas]

Awesome. I'll accept it here and open the SciMLBenchmarks one.