Vibrational elastic, rotationally summed cross sections for electron c
ollisions with CH4 are calculated with ab initio static-exchange inter
actions and using a symmetry-adapted, single-center-expansion represen
tation for the close-coupling equations. The correlation forces are in
cluded through density-functional theory and via a near-Hartree-Fock s
elf-consistent-field description of the target wave function. Integral
and differential cross sections are calculated over a broad range of
collision energies, from the shape resonance region up to 50 eV. Compa
risons with experiments and with previous calculations show that the p
resent results indeed exhibit very good overall accord with measuremen
ts at these collision energies and describe very efficiently the elect
ron angular distributions as given by a very broad range of measuremen
ts.