A lightweight validation harness for the RK4-based warp solver.
Runs baseline Minkowski and Schwarzschild profiles and produces a single LaTeX file (validation_results.tex) that downstream repos can consume.

• Python 3.7+
• NumPy
• SymPy
• The solver module (solver.py) and stencil definitions (solver_update.tex) from https://github.com/arcticoder/warp-solver-equations

git clone https://github.com/arcticoder/warp-solver-validation.git
cd warp-solver-validation
pip install numpy sympy

Place or symlink solver.py and solver_update.tex into this directory.

python run_validation.py

This will generate validation_results.tex in the project root.

• validation_results.tex
  A standalone LaTeX document containing an error‐norm table with Pass/Fail status for each test case.