Local Analysis of Local Discontinuous Galerkin Method for the Time-Dependent Singularly Perturbed Problem. - Yao Cheng 006; Feng Zhang; Qiang Zhang 018 (J. Sci. Comput., 2015)

Local Analysis of the Local Discontinuous Galerkin Method with Generalized Alternating Numerical Flux for One-Dimensional Singularly Perturbed Problem. - Yao Cheng 006; Qiang Zhang 018 (J. Sci. Comput., 2017)

Application of generalized Gauss-Radau projections for the local discontinuous Galerkin method for linear convection-diffusion equations. - Yao Cheng 006; Xiong Meng; Qiang Zhang 018 (Math. Comput., 2017)

Optimal error estimate of the local discontinuous Galerkin methods based on the generalized alternating numerical fluxes for nonlinear convection-diffusion equations. - Yao Cheng 006 (Numer. Algorithms, 2019)

Conserved Quantity and Adiabatic Invariant for Hamiltonian System with Variable Order. - Chuan-Jing Song; Yao Cheng 006 (Symmetry, 2019)

Noether's theorems for nonshifted dynamic systems on time scales. - Chuan-Jing Song; Yao Cheng 006 (Appl. Math. Comput., 2020)

Local Discontinuous Galerkin Method for Time-Dependent Singularly Perturbed Semilinear Reaction-Diffusion Problems. - Yao Cheng 006; Chuan-Jing Song; Yanjie Mei (Comput. Methods Appl. Math., 2021)

On the local discontinuous Galerkin method for singularly perturbed problem with two parameters. - Yao Cheng 006 (J. Comput. Appl. Math., 2021)

Convergence Analysis of the LDG Method for Singularly Perturbed Reaction-Diffusion Problems. - Yanjie Mei; Sulei Wang; Zhijie Xu; Chuan-Jing Song; Yao Cheng 006 (Symmetry, 2021)

Optimal maximum-norm estimate of the LDG method for singularly perturbed convection-diffusion problem. - Yao Cheng 006; Li Yan; Xuesong Wang; Yanhua Liu (Appl. Math. Lett., 2022)

The local discontinuous Galerkin method on layer-adapted meshes for time-dependent singularly perturbed convection-diffusion problems. - Yao Cheng 006; Yanjie Mei; Hans-Görg Roos (Comput. Math. Appl., 2022)

Balanced-norm error estimate of the local discontinuous Galerkin method on layer-adapted meshes for reaction-diffusion problems. - Yao Cheng 006; Li Yan; Yanjie Mei (Numer. Algorithms, 2022)

Optimal pointwise convergence of the LDG method for singularly perturbed convection-diffusion problem. - Yao Cheng 006; Xuesong Wang (Appl. Math. Lett., 2023)

The local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem with characteristic and exponential layers. - Yao Cheng 006; Martin Stynes (Numerische Mathematik, 2023)

Local Discontinuous Galerkin Method for a Third-Order Singularly Perturbed Problem of Convection-Diffusion Type. - Li Yan; Zhoufeng Wang; Yao Cheng 006 (Comput. Methods Appl. Math., 2023)

Local discontinuous Galerkin method for a singularly perturbed fourth-order problem of reaction-diffusion type. - Yanhua Liu; Yao Cheng 006 (J. Comput. Appl. Math., 2024)

Optimal-order balanced-norm error estimate of the local discontinuous Galerkin method with alternating numerical flux for singularly perturbed reaction-diffusion problems. - Juan Kang; Yao Cheng 006 (Appl. Math. Lett., 2025)

Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux. - Yao Cheng 006; Xuesong Wang; Martin Stynes (Math. Comput., 2025)

The local discontinuous Galerkin method on graded meshes for 1d singularly perturbed convection-diffusion problems. - You Wu; Yao Cheng 006 (Comput. Appl. Math., 2025)

Convergence analysis of the LDG method on two Duran-type meshes for reaction-diffusion problems. - You Wu; Yao Cheng 006 (J. Appl. Math. Comput., 2025)