  Results from the LSND and MiniBooNE experiments have been interpreted as
evidence for a sterile neutrino with a mass near the electronvolt scale. Here
we propose to test such a scenario by measuring the coherent elastic scattering
rate of neutrinos from a pulsed spallation source. Coherent scattering is
universal across all active neutrino flavors, and thus can provide a
measurement of the total Standard Model neutrino flux. By performing
measurements over different baselines and making use of timing information, it
is possible to significantly reduce the systematic uncertainties and to
independently measure the fluxes of neutrinos that originate as $\nu_{\mu}$ or
as either $\nu_e$ or $\bar{\nu}_{\mu}$. We find that a 100 kg CsI detector
would be sensitive to the large fraction of the sterile neutrino parameter
space that could potentially account for the LSND and MiniBooNE anomalies.
