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 also work with Prof. Anima Anandkumar and Prof. Andrew Stuart. Check out my candidacy slides.
Research
My research interests broadly lie in
Actively looking for discussions and possible collaborations on interesting topics.
Find out more
Publications
R. Li, Y Wang and Y. Wang. Approximation to Singular Quadratic Collision Model in
FokkerPlanckLandau Equation, SIAM Journal on Scientific Computing, 42(3), 2020, pp. B792B815.
[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]
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. Exponentially Convergent Multiscale Methods for 2D High Frequency Heterogeneous Helmholtz Equations, Multiscale Modeling and Simulation, 21(3), 2023, pp. 849–883. [paper, slides]
Z. Liu, A. Stuart and Y. Wang. (2022) Second Order Ensemble Langevin Method for Sampling and Inverse Problems, [arxiv, slides]
H. Maust, Z. Li, Y. Wang, D. Leibovici, O. Bruno, T.Y. Hou and A. Anandkumar. Fourier Continuation for Exact Derivative Computation in PhysicsInformed Neural Operators, NeurIPS 2022, 3rd AI for Science workshop. [arxiv, poster]
Y. Chen, T.Y. Hou and Y. Wang. Exponentially Convergent Multiscale Finite Element Method, Communications on Applied Mathematics and Computation, 6(2), 2024, 862878. [paper, slides, poster]
T.Y. Hou and Y. Wang. Blowup Analysis for a Quasiexact 1D Model of 3D Euler and NavierStokes, Nonlinearity, 37(3), 2024, 035001. [paper, slides]
T.Y. Hou, V.T. Nguyen and Y. Wang. (2024) L^2based Stability of Blowup with Log Correction for semilinear Heat Equation, [arxiv]
Z. Liu, Y. Wang, S. Vaidya, F. Ruehle, J. Halverson, M. Soljacic, T.Y. Hou and M. Tegmark. (2024) KAN: KolmogorovArnold Networks, [arxiv, slides, poster, Scientific American, IEEE Spectrum]
J. Chen, T.Y. Hou, V.T. Nguyen and Y. Wang. (2024) On the stability of blowup solutions to the complex GinzburgLandau equation in R^d, [arxiv, slides]
Z. Liu, P. Ma, Y. Wang, W. Matusik and M. Tegmark. (2024) KAN 2.0: KolmogorovArnold Networks Meet Science, [arxiv]
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