The report covers both the on-line consultation results and the Workshop conclusions. It points out the importance of mathematical support on one hand to HPC development towards exa-scale, and on the other mathematical solutions for pattern recognition and simulation on big data. Additionally it recognised the needs for an open access knowledge repository for mathematical algorithms, software and solutions, aimed at industry to support innovation as well as research, as well as the lack of a cross disciplinary mathematical network for supporting European research and industry.
The workshop organised itself into small subgroups who focussed on topics of their choice within the title. This resulted in nine additional short reports on topics ranging from how to communicate mathematics to Modelling Simulating and Optimisation and industrial mathematics and HPC. They are attached to the report.