本人于2012年在北京大学取得学士学位，2017年在新加坡国立大学取得博士学位，先后在法国国家信息与自动化研究所、索邦大学（原巴黎六大）及都灵理工大学从事博士后研究，2021年11月入职首都师范大学数学科学学院。
本人主要从事科学与工程计算以及应用数学方面的研究，研究范围涉及量子物理中的偏微分方程的数值方法与分析以及生物数学中的建模与计算。

1. Luis Almeida; Benoit Perthame; Xinran Ruan; An asymptotic preserving scheme for capturing concentrations in age-structured models arising in adaptive dynamics, Journal of Computational Physics, minor revision
2. Weizhu Bao; Xinran Ruan; Computing ground states of Bose-Einstein condensates with higher order interaction via a regularized density function formulation, SIAM Journal on Scientific Computing, 2019, 41(6): B1284-B1309
3. Wenfan Yi; Xinran Ruan; Chunmei Su; Optimal resolution methods for the Klein-Gordon-Dirac system in the nonrelativistic limit regime, Journal of Scientific Computing, 2019, 79: 1907-1935
4. Xinran Ruan; A normalized gradient flow method with attractive-repulsive splitting for computing ground states of Bose-Einstein condensates with higher-order interaction, Journal of Computational Physics, 2018, 367: 374-390

I received my Bachelor degree from Peking University in 2012 and received my Ph.D degree from National University of Singapore in 2017. After graduation, I went to INRIA, Sorbonne University and Polytechnic University of Turin as postdoc. In Nov 2021, I joined School of Mathematical Sciences in Capital Normal University.
I am an applied mathematian, focusing on modelling, scientific computing and numerical analysis. I have been working on the analysis and numerical methods for partial differential equation(PDE) models and partial integro-differential equation(PIDE) models appearing in quantum physics and mathematical biology.