Simulations of Shallow Water Equations with Finite Difference Lax-Wendroff Weighted Essentially Non-oscillatory Schemes. - Changna Lu; Jianxian Qiu (J. Sci. Comput., 2011)

Hybrid Well-balanced WENO Schemes with Different Indicators for Shallow Water Equations. - Gang Li 022; Changna Lu; Jianxian Qiu (J. Sci. Comput., 2012)

The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and Lubrication-type equations. - Changna Lu; Weizhang Huang; Erik S. Van Vleck (J. Comput. Phys., 2013)

Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems. - Changna Lu; Weizhang Huang; Jianxian Qiu (Numerische Mathematik, 2014)

Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions. - Changna Lu; Chen Fu; Hongwei Yang (Appl. Math. Comput., 2018)

An Adaptive Moving Mesh Finite Element Solution of the Regularized Long Wave Equation. - Changna Lu; Weizhang Huang; Jianxian Qiu (J. Sci. Comput., 2018)

Analysis of Lie symmetries with conservation laws and solutions for the generalized (3+1)-dimensional time fractional Camassa-Holm-Kadomtsev-Petviashvili equation. - Changna Lu; Luoyan Xie; Hongwei Yang (Comput. Math. Appl., 2019)