为更好开展偏微分方程理论与应用领域研究进展的学术盘点，有效增强国内外偏微分方程及相关领域的 学术交流与合作，12月6日至7日，为期2天的"2025年全国偏微分方程理论与应用研究学术年会暨运筹学 与人工智能学术论坛"在广东清远举办。 本次活动由中山大学香港高等研究院应用数学研究中心、中山大学数学学院、粤港澳应用数学中心主 办，由粤港澳大湾区跨学科科学学会、广东省运筹学会、大湾区数智中低空经济研究会协办。来自全国 多所高校与科研院所的专家学者在专题报告与前沿研讨会上深入交流最新研究成果。 会议现场。 设多场高质量报告与分论坛 开幕式上，中山大学香港高等研究院应用数学研究中心主任姚正安教授表示，偏微分方程正迎来一个充 满机遇的新时代。 他认为，在人工智能时代，AI给出的解，最终需要偏微分方程的严格理论来检验与诠释。而偏微分方 程理论中那些关于稳定性、收敛性的深刻结果，也必将为AI模型的构建提供更可靠的数学基础。"这正 是一场深刻的、双向的奔赴。"他强调，本学术年会旨在通过高水平交流催生理论突破、培养青年人 才，并为国家重大科技需求提供数学支撑。 据介绍，本次学术年会上有多场高质量专题学习报告，并设多个分论坛让专家学 ...

Core Insights - Shanghai Jiao Tong University has officially launched the world's first quantum scientific computing platform, UnitaryLab, which aims to overcome the computational power limitations of classical computing by developing quantum algorithms for various fields such as differential equations, numerical linear algebra, optimization, machine learning, and statistical computing [1][2] Group 1: Platform Features - UnitaryLab1.0 focuses on solving ordinary and partial differential equations, achieving quantum algorithm construction, solution, and quantum circuit design, thus breaking through traditional computational efficiency bottlenecks [1] - The platform is built on the "Schrödingerization" series of quantum algorithms proposed by the research teams, which innovatively transform partial differential equations into a form that can be directly processed by quantum systems [2] - The platform supports dual scenarios of "research + industry," allowing for a single platform to meet multiple needs, thereby enriching quantum teaching tools in universities and connecting talent cultivation, research innovation, and industrial application [3] Group 2: Industry Impact - UnitaryLab1.0 significantly lowers the barriers to using quantum computing, enabling engineers, researchers, and students from non-quantum fields to quickly engage in quantum scientific computing and engineering simulations, thus accelerating the problem-solving efficiency [2] - The platform has already attracted positive testing from domestic and international research teams and has established collaborations with leading domestic quantum hardware companies for real machine verification [3] - Future plans include further innovation in quantum algorithms, development of specialized hardware for algorithm adaptation, and the establishment of a standardized system for quantum solutions to partial differential equations, promoting the transition from fragmented exploration to standardized implementation [3]