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math.NA2019★ 1 cited
Function Approximation via The Subsampled Poincar\' e Inequality
Yifan Chen, Thomas Y. Hou
Function approximation and recovery via some sampled data have long been studied in a wide array of applied mathematics and statistics fields. Analytic tools, such as the Poincaré…
math.NA2019★ 1 cited
A class of robust numerical methods for solving dynamical systems with multiple time scales
Thomas Y. Hou, Zhongjian Wang, Zhiwen Zhang
In this paper, we develop a class of robust numerical methods for solving dynamical systems with multiple time scales. We first represent the solution of a multiscale dynamical sys…