A Numerical Method for the Generalized Regularized Long Wave Equation Using a Reproducing Kernel Function. - Shusen Xie; Seokchan Kim; Gyungsoo Woo; Sucheol Yi (SIAM J. Sci. Comput., 2008)

High order compact finite difference schemes for a system of third order boundary value problem. - Shusen Xie; Peng Li; Zhen Gao 002; Hui Wang (Appl. Math. Comput., 2012)

Hybrid Fourier-Continuation Method and Weighted Essentially Non-oscillatory Finite Difference Scheme for Hyperbolic Conservation Laws in a Single-Domain Framework. - Peng Li; Zhen Gao 002; Wai-Sun Don; Shusen Xie (J. Sci. Comput., 2015)

Packaged Droplet Microresonator for Thermal Sensing with High Sensitivity. - Xiaogang Chen; Liang Fu; Qijing Lu; Xiang Wu; Shusen Xie (Sensors, 2018)

A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Scalar Convection Diffusion Equations. - Hao Li; Shusen Xie; Xiangxiong Zhang (SIAM J. Numer. Anal., 2018)

A conservative compact finite difference scheme for the coupled Schrödinger-KdV equations. - Shusen Xie; Su-Cheol Yi (Adv. Comput. Math., 2020)

Local discontinuous Galerkin methods for the abcd nonlinear Boussinesq system. - Jiawei Sun; Shusen Xie; Yulong Xing (CoRR, 2021)

High Order Compact Block-Centered Finite Difference Schemes for Elliptic and Parabolic Problems. - Yilei Shi; Shusen Xie; Dong Liang 004; Kai Fu (J. Sci. Comput., 2021)

Error estimate of L1-ADI scheme for two-dimensional multi-term time fractional diffusion equation. - Kexin Li; Hu Chen; Shusen Xie (Networks Heterog. Media, 2023)

L1-robust analysis of a fourth-order block-centered finite difference method for two-dimensional variable-coefficient time-fractional reaction-diffusion equations. - Li Ma; Hongfei Fu 002; Bingyin Zhang; Shusen Xie (Comput. Math. Appl., 2023)

Fractional-step High-order and Bound-preserving Method for Convection Diffusion Equations. - Baolin Kuang; Hongfei Fu 002; Shusen Xie (CoRR, 2024)

Fourth-order compact block-centered splitting domain decomposition method for parabolic equations. - Yilei Shi; Dong Liang 004; Shusen Xie; Kai Fu (J. Comput. Appl. Math., 2024)

Maximum-Norm Error Estimates of Fourth-Order Compact and ADI Compact Finite Difference Methods for Nonlinear Coupled Bacterial Systems. - Jie Xu; Shusen Xie; Hongfei Fu 002 (J. Sci. Comput., 2024)

Strang splitting structure-preserving high-order compact difference schemes for nonlinear convection diffusion equations. - Baolin Kuang; Shusen Xie; Hongfei Fu 002 (Commun. Nonlinear Sci. Numer. Simul., 2025)

A GPU-based compact conservative characteristic finite volume parallel algorithm for advection diffusion equations. - Guiyu Wang; Linjie Zhang; Shusen Xie; Dong Liang 004; Kai Fu (Comput. Phys. Commun., 2025)

Energy dissipation law and maximum bound principle-preserving linear BDF2 schemes with variable steps for the Allen-Cahn equation. - Bingyin Zhang; Hongfei Fu 002; Rihui Lan; Shusen Xie (CoRR, 2025)

Efficient Laplace-Modified Galerkin Quadratic Spline Methods for General Parabolic Problems with Time-Dependent Variable Coefficients. - Yuhang Fu; Shusen Xie; Hongfei Fu 002 (J. Sci. Comput., 2025)