# Validation and benchmarks

PETAL2D separates mathematical correctness tests, numerical validation, and performance benchmarks.

- Unit/property tests answer: does the implementation obey required identities and edge-case behavior?
- Numerical validation answers: how do finite grids and interpolation converge?
- Benchmarks answer: how do runtime and memory scale on a specified machine?

```{toctree}
:maxdepth: 1

accuracy
performance
```