Nonlinearsolver package and compat

[kmdeck]

Is your feature request related to a problem? Please describe. Nonlinear solvers works on GPUs - we may want to use that instead of NLSolve Add compat helpers.

Please link to any related issues/PRs.

Describe the solution you'd like Switch from NLSolve to Nonlinear solvers if applicable Use CompatDevTools or add compat entries for test Project.toml.

(These are improvements that were suggested during a pair program session with Charlie)