在粘性（粘弹性）流体方程的数值分析与模拟、散射问题的算法设计与分析、浸入有限元方法和奇异摄动方程的算法设计与分析等方面取得了一些结果，在SCI期刊上发表学术论文30余篇。代表作有：
Ming Sun, Xinlong Feng, Kun Wang*, Numerical simulation of binary fluid–surfactant phase field model2.
3.
Yau Shu Wong, Jizu Huang, Analysis of pollution-free approaches for multi-dimensional Helmholtz equations, International Journal of Numerical Analysis and Modeling, 16 (2019) 412-435.
Jizu Huang*, A fast algorithm for the Caputo fractional derivative, East Asian Journal on Applied Mathematics, 8(2018) 656-677.
Kun Wang Kun Wang*, Jian Deng, Efficient and accurate numerical solutions for Helmholtz equation in polar and spherical coordinates, Communications in Computational Physics, 17 (2015) 779-.8.
9.
10.
Yinnian He*, Yueqiang Shang,
<span lang="EN-USTimes" roman",serif;color:black'="" new="">Fully discrete finite element method for the viscoelastic fluid motion equations, Discrete and Continuous Dynamical Systems – Series B, 13 (2010) 665-684.
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