Worked Examples

Benchmark problems from the PHY653 lectures, fully worked and linked to the concepts they exercise.

Example	Exercises	Difficulty
Cross-field cycloid benchmark	all four integrators vs an exact solution	Easy
Rutherford scattering	non-uniform fields, simulation validation	Medium
Magnetic mirror orbit	trapping, adiabatic invariants	Hard
Double-slit FDTD	wave equation on a masked grid	Medium
Two-stream PIC run	the full PIC pipeline	Hard