Yixuan Wang

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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.

Find out more

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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