计算与应用讨论班——A Model Reduction Method Based on Variable Separation

报告人：李秋齐（湖南大学）

时间：2025年3月7日14:00-16:00

地点：海纳苑2幢205室

摘要：This report presents a novel Variable-Separation (VS) method for model reduction, which simplifies complex systems by effectively decoupling variables and reducing dimensionality. The method is extended to stochastic partial differential equations (SPDEs) through the use of tensor product structures, offering significantly lower computational complexity and higher efficiency compared to traditional approaches. We provide a comprehensive discussion of the theoretical foundations, implementation strategies, and practical applications across a wide range of problems. Numerical examples are included to validate the method's accuracy, robustness, and scalability. This work establishes a streamlined and efficient framework for addressing high-dimensional SPDEs, demonstrating its potential to enhance computational efficiency in complex system modeling.

联系人：李雨文（liyuwen@zju.edu.cn）