Numerical method satisfying the first two conservation laws for the Korteweg-de Vries equation. - Yanfen Cui; De-kang Mao (J. Comput. Phys., 2007)

Towards front-tracking based on conservation in two space dimensions II, tracking discontinuities in capturing fashion. - De-kang Mao (J. Comput. Phys., 2007)

Numerically Neither Dissipative Nor Compressive Scheme for Linear Advection Equation and Its Application to the Euler System. - Hongxia Li; Zhigang Wang; De-kang Mao (J. Sci. Comput., 2008)

Entropy-TVD Scheme for Nonlinear Scalar Conservation Laws. - Rongsan Chen; De-kang Mao (J. Sci. Comput., 2011)

Error self-canceling of a difference scheme maintaining two conservation laws for linear advection equation. - Yanfen Cui; De-kang Mao (Math. Comput., 2012)

Towards front-tracking based on conservation in two space dimensions III, tracking interfaces. - Mohammed Aman Ullah; Wenbin Gao; De-kang Mao (J. Comput. Phys., 2013)

A two dimensional nodal Riemann solver based on one dimensional Riemann solver for a cell-centered Lagrangian scheme. - Yan Liu; Weidong Shen; Baolin Tian; De-kang Mao (J. Comput. Phys., 2015)

Numerically simulating the missing physical dissipations in a conservative front-tracking method. - Mohammed Aman Ullah; De-kang Mao (J. Comput. Phys. X, 2019)