  We provide expansions of the Detweiler-Whiting singular field for motion
along arbitrary, planar accelerated trajectories in Schwarzschild spacetime. We
transcribe these results into mode-sum regularization parameters, computing
previously unknown terms that increase the convergence rate of the mode-sum. We
test our results by computing the self-force along a variety of accelerated
trajectories. For non-uniformly accelerated circular orbits we present results
from a new 1+1D discontinuous Galerkin time-domain code which employs an
effective-source. We also present results for uniformly accelerated circular
orbits and accelerated bound eccentric orbits computed within a
frequency-domain treatment. Our regularization results will be useful for
computing self-consistent self-force inspirals where the particle's worldline
is accelerated with respect to the background spacetime.
