Overview of algorithms

Runko algorithms
Module	Solver	Instance	Description	Reference
fld			Maxwell’s field equation module
	Propagator		Field solver; update \(\mathbf{\hat{E}}\) and \(\mathbf{\hat{B}}\)
		\(\texttt{FDTD2}\)	2nd-order FDTD solver	[Yee1966]
		\(\texttt{FDTD4}\)	4th-order FDTD solver	[Greenwood2004]
		\(\texttt{FDTDGen}\)	FDTD solver with free coefficients	[Blinne2018]
	Filter		Current smoothing
		\(\texttt{Binomial2}\)	3-point Binomial digital filter	[Birdsall1985]
		\(\texttt{Compensator2}\)	3-point digital compensator filter	[Birdsall1985]
pic			Particle-in-cell module
	Pusher		Particle \(\mathbf{\hat{x}}\) and \(\mathbf{\hat{u}}\) update
		base class	Velocity verlet propagator	[Verlet1967]
		\(\texttt{BorisPusher}\)	Relativistic Boris pusher	[Boris1970]
		\(\texttt{VayPusher}\)	Vay pusher	[Vay2008]
		\(\texttt{HigueraCaryPusher}\)	Higuera-Cary pusher	[HigueraCary2017]
		\(\texttt{rGCAPusher}\)	Reduced guiding-center pusher	[Bacchini2020]
	Interpolator		Field interpolation to particle’s location
		\(\texttt{LinearInterpolator}\)	Linear 1st-order interpolator
		\(\texttt{QuadraticInterpolator}\)	Quadratic 2nd-order interpolator
		\(\texttt{CubicInterpolator}\)	Cubic 3rd-order interpolator
		\(\texttt{QuarticInterpolator}\)	Quartic 4th-order interpolator
	Depositer		Current deposition
		\(\texttt{ZigZag}\)	1st-order ZigZag scheme	[Umeda2003]
		\(\texttt{ZigZag\_2nd}\)	2nd-order ZigZag scheme	[Umeda2005]
		\(\texttt{Esikerpov\_2nd}\)	2nd-order Esikerpov scheme	[Esikerpov2001]
		\(\texttt{Esikerpov\_4th}\)	4th-order Esikerpov scheme	[Esikerpov2001]