  We report electronic structure calculations for Ta$_2$PdS$_5$, which is a
layered superconductor containing heavy elements and displaying an upper
critical field, $H_{c2}(0)$, $\sim$3 times higher than the estimated Pauli
limit. We show that this is a multiband superconductor that is most likely in
the strong coupling regime. This provides an alternative explanation to strong
spin orbit scattering for the high upper critical field.
