3 papers
math.NA2022
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…
math.NA2019
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…
math.NA2018
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…