Numerical methods

• Governing equations
• Discretisation
• Explicit scheme
• Implicit Crank-Nicolson scheme
• Field solvers
• Boundary conditions
• Digital filtering
• Initialisation
• Stability and resolution
• Diagnostics
• Comparison with linear theory
• References

These pages describe what the code computes, in the order in which a time step executes: the Governing equations, their Discretisation on a staggered grid, the Explicit scheme and Implicit Crank-Nicolson scheme time integrators, the Field solvers, the Boundary conditions, the Digital filtering of the sources, the Initialisation of the phase space, the Stability and resolution constraints on the resolution, the Diagnostics and the Comparison with linear theory against linear theory. Symbols follow Birdsall and Langdon [Birdsall and Langdon, 1991]; the References page lists the sources.