With the accelerated development of manufacturing in sectors such as aviation, aerospace, shipbuilding, nuclear industry, and military industry in China, as well as the ongoing industrialization process, the need for domestically controllable critical industrial software has become urgent. This is especially significant in the context of building a new domestic-international dual circulation development pattern. It has become one of the "bottleneck" issues.

For example, in May 2020, the U.S. Department of Commerce expanded its export control "Entity List," banning 13 Chinese universities, including the National University of Defense Technology and Northwestern Polytechnical University, from using the computer simulation software MATLAB.

In August 2022, the U.S. implemented export controls on integrated circuit EDA toolchains for design, physical simulation, and manufacturing processes, citing "national security" concerns. Many major industrial software packages rely on mathematical software, so research on the cutting-edge intersections of mathematical software is of great significance.

This report summarizes and reviews the current status, development trends, and the research foundations and conditions in China, analyzes potential new growth points in this field, and offers recommendations for the development of mathematical software in China.