A high order ENO conservative Lagrangian type scheme for the compressible Euler equations. - Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2007)

High order conservative Lagrangian schemes with Lax-Wendroff type time discretization for the compressible Euler equations. - Wei Liu; Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2009)

A cell-centered Lagrangian scheme with the preservation of symmetry and conservation properties for compressible fluid flows in two-dimensional cylindrical geometry. - Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2010)

A Lagrangian scheme with the preservation of symmetry and conservation in cylindrical geometry: Preliminary study. - Juan Cheng 001; Chi-Wang Shu (ICCS, 2010)

Positivity-preserving Lagrangian scheme for multi-material compressible flow. - Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2014)

Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates. - Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2014)

High Order Positivity-Preserving Discontinuous Galerkin Methods for Radiative Transfer Equations. - Daming Yuan; Juan Cheng 001; Chi-Wang Shu (SIAM J. Sci. Comput., 2016)

Conservative High Order Positivity-Preserving Discontinuous Galerkin Methods for Linear Hyperbolic and Radiative Transfer Equations. - Dan Ling; Juan Cheng 001; Chi-Wang Shu (J. Sci. Comput., 2018)

High order conservative Lagrangian schemes for one-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit. - Juan Cheng 001; Chi-Wang Shu; Peng Song 017 (J. Comput. Phys., 2020)

High order entropy stable and positivity-preserving discontinuous Galerkin method for the nonlocal electron heat transport model. - Nuo Lei; Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2022)

Stability of high order finite difference and local discontinuous Galerkin schemes with explicit-implicit-null time-marching for high order dissipative and dispersive equations. - Meiqi Tan; Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2022)

A high order positivity-preserving conservative WENO remapping method based on a moving mesh solver. - Xiaolu Gu; Yue Li; Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2023)

A high order positivity-preserving polynomial projection remapping method. - Nuo Lei; Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2023)

High order conservative finite difference WENO scheme for three-temperature radiation hydrodynamics. - Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2024)

High order conservative Lagrangian schemes for two-dimensional radiation hydrodynamics equations in the equilibrium-diffusion limit. - Nuo Lei; Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2024)

High order conservative Lagrangian scheme for three-temperature radiation hydrodynamics. - Juan Cheng 001; Nuo Lei; Chi-Wang Shu (J. Comput. Phys., 2024)

High-order implicit maximum-principle-preserving local discontinuous Galerkin methods for convection-diffusion equations. - Kaichang Yu; Juan Cheng 001; Yuanyuan Liu; Chi-Wang Shu (J. Comput. Appl. Math., 2025)

Second order conservative Lagrangian DG schemes for compressible flow and their application in preserving spherical symmetry in two-dimensional cylindrical geometry. - Wenjing Feng; Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2025)

A two-stage two-derivative fourth order positivity-preserving discontinuous Galerkin method for hyperbolic conservation laws. - Tianjiao Li; Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2025)

High order finite difference scheme with explicit-implicit-null time-marching for the compressible Navier-Stokes equations. - Meiqi Tan; Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2025)

Interface preserving mesh optimization method for multi-material simulations. - Chao Zhang; Nuo Lei; Juan Cheng 001; Chi-Wang Shu (J. Comput. Phys., 2025)

A high-order, conservative and positivity-preserving intersection-based remapping method between meshes with isoparametric curvilinear cells. - Nuo Lei; Juan Cheng 001; Chi-Wang Shu (CoRR, 2025)