  This paper introduces a nonlinear acceleration technique that accelerates the
convergence of solution of transport problems with highly forward-peaked
scattering. The technique is similar to a conventional high-order/low-order
(HOLO) acceleration scheme. The Fokker-Planck equation, which is an asymptotic
limit of the transport equation in highly forward-peaked settings, is modified
and used for acceleration; this modified equation preserves the angular flux
and moments of the (high order) transport equation. We present numerical
results using the Screened Rutherford, Exponential, and Henyey-Greenstein
scattering kernels and compare them to established acceleration methods such as
diffusion synthetic acceleration (DSA). We observe three to four orders of
magnitude speed-up in wall-clock time compared to DSA.
