We numerically study the model of an actual metal-semiconductor Schottky-barrier contact with an interfacial layer and surface states (the Bardeen model). Our study is based on the previously developed view that the anomalies of the characteristics of such a contact is a consequence of the nonlinear dependence of the barrier height on the bias voltage. It is shown that on this basis it is possible to explain in a natural way the so-called "low-temperature anomaly" in metalsemiconductor Schottky-barrier contacts (an increase in the ideality factor of the current-voltage characteristic and a decrease in the measured barrier height with decreasing temperature), as well as the relationship between different barrier heights characterizing a contact, namely, among the actual barrier height, which is measured from a saturation current, the flat-band barrier height, and the barrier height measured from a C − V characteristic.