Vibrationally elastic, rotationally-summed cross sections for electron
collisions with CH4 are calculated with ab initio static + exchange (
SE) interactions and using a symmetry-adapted, single-centre expansion
(SCE) representation for the close-coupled (CC) equations. The dynami
cal correlation forces are included through a local density-functional
theory (DFT) approach. Both integral and differential cross sections
are calculated at the Ramsauer-Townsend (RT) minimum and at energies c
lose to it. Comparisons with experiments and with previous calculation
s show that the present approach exhibits one of the best overall acco
rds with measurements while still keeping the computational effort wit
hin modest limits.