79 citations · 1k across the 43 of their papers we have counts for
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math.NA2016★ 19 cited
On the homotopy analysis method for backward/forward-backward stochastic differential equations
Xiaoxu Zhong, Shijun Liao
In this paper, an analytic approximation method for highly nonlinear equations, namely the homotopy analysis method (HAM), is employed to solve some backward stochastic differentia…
math.NA2016★ 14 cited
On the Generalized Wavelet-Galerkin Method
Zhaochen Yang, Shijun Liao
In the frame of the traditional wavelet-Galerkin method based on the compactly supported wavelets, it is important to calculate the so-called connection coefficients that are some…
math.NA2015★ 33 cited
On the method of directly defining inverse mapping for nonlinear differential equations
Shijun Liao, Yinlong Zhao
In scientific computing, it is time-consuming to calculate an inverse operator of a differential equation , especially when is…