adding initial stab at integrator interface.

[cmhamel]

No description provided.

[codecov]

Codecov Report

Attention: Patch coverage is 72.72727% with 18 lines in your changes missing coverage. Please review.

Project coverage is 51.69%. Comparing base (45b8047) to head (bb22b0f).
Report is 2 commits behind head on main.

Files with missing lines	Patch %	Lines
src/solvers/DirectLinearSolver.jl	0.00%	13 Missing ⚠️
ext/FiniteElementContainersAdaptExt.jl	0.00%	2 Missing ⚠️
src/Parameters.jl	84.61%	2 Missing ⚠️
src/solvers/Solvers.jl	0.00%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main      #97      +/-   ##
==========================================
+ Coverage   51.47%   51.69%   +0.21%     
==========================================
  Files          32       35       +3     
  Lines        1729     1745      +16     
==========================================
+ Hits          890      902      +12     
- Misses        839      843       +4     

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