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Scientific machine learning (SciML) benchmarks, AI for science, and (differential) equation solvers. Covers Julia, Python (PyTorch, Jax), MATLAB, R

Results 104 SciMLBenchmarks.jl issues
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This pull request changes the compat entry for the `ApproxFun` package from `0.11, 0.12` to `0.11, 0.12, 0.13` for package MOLPDE. This keeps the compat entries for earlier versions. Note:...

Resurrecting and updating https://github.com/SciML/SciMLBenchmarks.jl/pull/298

https://buildkite.com/julialang/scimlbenchmarks-dot-jl/builds/811#01824571-4898-4dab-85ce-48afb9de9414/248-307 @SebastianM-C would you happen to know why it's so big? 😅

This pull request changes the compat entry for the `StatsPlots` package from `0.14` to `0.14, 0.15` for package NBodySimulator. This keeps the compat entries for earlier versions. Note: I have...

Adds a benchmark for [MethodOfLines.jl](https://github.com/SciML/MethodOfLines.jl), using Burgers Equation.

For #359, from https://archimede.dm.uniba.it/~testset/problems/crank.php I opted for a fairly direct translation of the code here initially, so that could perhaps be cleaned up a bit later. The solutions graphs here...