533 citations · 623 across the 21 of their papers we have counts for
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math.NA2020★ 17 cited
Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions
Yifan Chen, Thomas Y. Hou, Yixuan Wang
In this paper, we introduce a multiscale framework based on adaptive edge basis functions to solve second-order linear elliptic PDEs with rough coefficients. One of the main result…
physics.comp-ph2020★ 5 cited
Schrödinger PCA: On the Duality between Principal Component Analysis and Schrödinger Equation
Ziming Liu, Sitian Qian, Yixuan Wang +2
Principal component analysis (PCA) has achieved great success in unsupervised learning by identifying covariance correlations among features. If the data collection fails to captur…