The Council on Competitiveness and the Ohio Supercomputer Center co-hosted a day-long workshop: Accelerating Innovation For Competitive Advantage: The Need For HPC Application Software Solutions. This workshop examined the gap between the production-quality, application software that industry needs and the software that is available. The report offers a roadmap of public-private sector actions to address this challenge. Participants included HPC users, independent software vendors (ISVs), university researchers, hardware vendors, and government scientists and engineers.