  A high-throughput screening using density functional calculations is
performed to search for stable boride superconductors from the existing
materials database. The workflow employs the fast frozen phonon method as the
descriptor to evaluate the superconducting properties quickly. 23 stable
candidates are identified from the screening. For almost all found binary
compounds, the superconductivity was obtained earlier experimentally or
computationally. For ternary borides, previous studies are very limited. Our
extensive search among ternary systems confirmed superconductivity in known
systems and found several new compounds. Among these discovered superconducting
ternary borides, Ta(MoB)$_2$ shows the highest superconducting temperature of
~12K. Most predicted compounds were synthesized previously; therefore, our
predictions can be examined experimentally. Our work also demonstrates that the
boride systems can have diverse structural motifs that lead to
superconductivity.
