The superconvergence of the composite midpoint rule for the finite-part integral. - Jiming Wu; Zihuan Dai; Xiaoping Zhang 005 (J. Comput. Appl. Math., 2010)

Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes. - Jiming Wu; Zihuan Dai; Zhiming Gao; Guangwei Yuan (J. Comput. Phys., 2010)

A stabilized linearity-preserving scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes. - Jiming Wu; Zhiming Gao; Zihuan Dai (J. Comput. Phys., 2012)

A Runge-Kutta discontinuous Galerkin method for Lagrangian ideal magnetohydrodynamics equations in two-dimensions. - Shijun Zou; Xijun Yu; Zihuan Dai (J. Comput. Phys., 2019)

Divergence-free radial kernel for surface Stokes equations based on the surface Helmholtz decomposition. - Jingwei Li; Zhiming Gao; Zihuan Dai; Xinlong Feng (Comput. Phys. Commun., 2020)

A positivity preserving characteristic finite element method for solving the transport and convection-diffusion-reaction equations on general surfaces. - Xufeng Xiao; Zihuan Dai; Xinlong Feng (Comput. Phys. Commun., 2020)

A positivity-preserving Lagrangian Discontinuous Galerkin method for ideal magnetohydrodynamics equations in one-dimension. - Shijun Zou; Xijun Yu; Zihuan Dai (J. Comput. Phys., 2020)

A 2D cell-centered Lagrangian scheme based on multi-state Riemann solver with exactly divergence-free magnetic fields. - Xun Wang; Zihuan Dai; Zhijun Shen (J. Comput. Phys., 2022)