Yixuan Wang

G1 PhD, Applied + Computational Mathematics, California Institute of Technology (Caltech) E-mail: roywang [@] caltech [dot] edu, roywangyx [@] pku [dot] edu [dot] cn.

About Me

I received a B.S. degree in mathematics summa cum laude from Peking University (PKU), in 2020. My undergraduate supervisor is Prof. Ruo Li.
My graduate supervisor is Prof. Thomas Yizhao Hou. I am also co-advised by Prof. Houman Owhadi and Prof. Andrew Stuart.
I matriculate remotely in Caltech and join BICMR as a research assistant hosted by Prof. Ruo Li, Prof. Zhennan Zhou, and Prof. Zhenfu Wang for the Academic year 2020.

Research

My research interests broadly lie in

• Numerical Analysis

• Partial Differential Equation

• Applied Probability

Actively looking for discussions and possible collaborations on interesting topics.

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Publications

1. R. Li, Y.L Wang and Y.X. Wang. Approximation to Singular Quadratic Collision Model in Fokker-Planck-Landau Equation, SIAM Journal on Scientific Computing, 42(3), 2020, pp. B792-B815. [paper, slides]

2. Z. Liu, S. Qian, Y. Wang, Y. Yan and T Yang. (2020) Schrödinger PCA: You Only Need Variances for Eigenmodes. Submitted to Physical Review E, under revision. [arxiv]

3. Y. Chen, T.Y. Hou and Y. Wang. (2020) Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions. To appear in Multiscale Modeling and Simulation. [arxiv]

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