随着我国航空、航天、船舶、核工业、军工等领域制造业的加速发展以及工业化进程的持续推进，重大工业软件的自主可控在构建国内国际双循环新发展格局下迫在眉睫，成为重要的“卡脖子”问题之一。如美国商务部于2020年5月扩充出口管制“实体清单”，国防科技大学、西北工业大学等13所中国高校被禁止使用计算机仿真软件Matlab；2022 年 8 月以“事关国家安全”为理由对涉及设计、物理仿真、制造工艺等的集成电路EDA工具链实施出口管制等。许多重大工业软件的核心是数学软件，因此针对数学软件前沿交叉的研究判研究具有重要意义。本报告就数学软件的现状、发展趋势、以及我国在该方向上研究基础与条件进行总结和综述、分析和研判新的学科生长点，对我国数学软件发展给出建议。

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.