Yixuan Wang

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

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.

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. Schrödinger principal-component analysis: On the duality between principal-component analysis
   and the Schrödinger equation, Physical Review E, 104(2), 2021, 025307. [paper, slides]

3. Y. Chen, T.Y. Hou and Y. Wang. Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions,
   Multiscale Modeling and Simulation, 19(2), 2021, pp. 980–1010. [paper]

4. Y. Chen, T.Y. Hou and Y. Wang. (2021) Exponentially convergent multiscale methods for high frequency heterogeneous Helmholtz equations,
   submitted to SIAM Journal on Numerical Analysis. [arxiv, slides]

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