15 citations · 19 across the 5 of their papers we have counts for
5 papers
Analysis of the local discontinuous Galerkin method with generalized fluxes for 1D nonlinear convection-diffusion systems
Hongjuan Zhang, Boying Wu, Xiong Meng
In this paper, we present optimal error estimates of the local discontinuous Galerkin method with generalized numerical fluxes for one-dimensional nonlinear convection-diffusion sy…
Optimal error estimates for Legendre expansions of singular functions with fractional derivatives of bounded variation
Wenjie Liu, Li-Lian Wang, Boying Wu
We present a new fractional Taylor formula for singular functions whose Caputo fractional derivatives are of bounded variation. It bridges and ``interpolates" the usual Taylor form…
Superconvergence of local discontinuous Galerkin methods with generalized alternating fluxes for 1D linear convection-diffusion equations
Xiaobin Liu, Dazhi Zhang, Xiong Meng +1
This paper investigates superconvergence properties of the local discontinuous Galerkin methods with generalized alternating fluxes for one-dimensional linear convection-diffusion…
A Generalized-Jacobi-Function Spectral Method for Space-Time Fractional Reaction-Diffusion Equations with Viscosity Terms
Zhe Yu, Boying Wu, Jiebao Sun +1
In this work, we study a new spectral Petrov-Galerkin approximation of space-time fractional reaction-diffusion equations with viscosity terms built by Riemann-Liouville fractional…
High-order implicit Galerkin-Legendre spectral method for the two-dimensional Schrodinger equation
Wenjie Liu, Boying Wu
In this paper, we propose Galerkin-Legendre spectral method with implicit Runge-Kutta method for solving the unsteady two-dimensional Schrodinger equation with nonhomogeneous Diric…