Yixuan Wang
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 coadvised by Prof. Houman Owhadi and Prof. Andrew Stuart.
Research
My research interests broadly lie in
Actively looking for discussions and possible collaborations on interesting topics.
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Publications
R. Li, Y.L Wang and Y.X. Wang. Approximation to Singular Quadratic Collision Model in
FokkerPlanckLandau Equation, SIAM Journal on Scientific Computing, 42(3), 2020, pp. B792B815.
[paper, slides]
Z. Liu, S. Qian, Y. Wang, Y. Yan and T Yang. Schrödinger principalcomponent analysis: On the duality between principalcomponent analysis and the Schrödinger equation, Physical Review E, 104(2), 2021, 025307. [paper, slides]
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]
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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