Look on my works, ye Mighty, and despair!
Hello! I am Yuanshen Lin, a Ph.D. student in the School of Mathematical Sciences, Peking University, under the supervision of Prof. Lei Zhang. I obtained my bachelor's degree from the Wu Wenjun Honors Program, School of Mathematical Sciences, Shanghai Jiao Tong University, where I was advised by Prof. Zhenli Xu on research in computational mathematics. My academic interests lie broadly in computational mathematics, machine learning, and their real-world applications. Currently, my research focuses on model reduction, fast algorithms, and the construction of solution landscapes.
In my free time, I like to listen to music, which helps me stay focused and creative.
Feel free to check out my work and get in touch!
Preprints
- Working on some new projects related to solution landscapes.
Publications
- Y. Lin, Z. Xu, Y. Zhang and Q. Zhou, Weighted balanced truncation method for approximating kernel functions by exponentials, Phys. Rev. E 112 (2025), 015302.
Software Packages
- VP-WBT, a kernel-independent SOE/SOG approximation software with VP-sum and WBT.
Look on my works, ye Mighty, and despair!
大家好！我是林元莘，现为北京大学数学科学学院博士研究生，师从张磊教授。本科毕业于上海交通大学数学科学学院吴文俊班，在本科期间师从徐振礼教授从事计算数学方向的研究工作。我的学术兴趣主要包括计算数学、机器学习及其实际应用。目前我的主要研究方向为模型降阶、快速算法与解景观的构建。
在闲暇时，我喜欢听各种摇滚乐与看经典电影
欢迎大家查看我的工作并与我联系！
预印本
- 正在进行一些与解景观相关的新项目。
已发表
- Y. Lin, Z. Xu, Y. Zhang and Q. Zhou, Weighted balanced truncation method for approximating kernel functions by exponentials, Phys. Rev. E 112 (2025), 015302. (基于加权平衡截断方法的核函数指数和逼近)
软件包
- VP-WBT，一款基于VP和逼近与加权平衡截断方法的对于任意核函数进行SOE/SOG逼近的软件。
