Abstract: Program synthesis is an active research field in academia, national labs, and
industry. Yet, work directly applicable to scientific computing, while having
some impressive successes, has been limited. This report reviews the relevant
areas of program synthesis work for scientific computing, discusses successes
to date, and outlines opportunities for future work. This report is the result
of the Workshop on Program Synthesis for Scientific Computing was held
virtually on August 4-5 2020 (https://prog-synth-science.gi thub.io/2020/).