Lueling Jia

activity

20182025

most citedA

C^{1}

-conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence ananlysis over rectangular meshes

1 citations · 3 across the 6 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NA2020

A $C^{1}$ Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence

Waixiang Cao, Lueling Jia, Zhimin Zhang

In this paper, we present and study $C^{1}$ Petrov-Galerkin and Gauss collocation methods with arbitrary polynomial degree $k$ ( $\geq 3$ ) for one-dimensional elliptic equations. We pr…

math.NA2020

Generalised Hermite spectral methods for PDEs involving integral fractional Laplacian and Schrödinger operators

Changtao Sheng, Suna Ma, Huiyuan Li +2

In this paper, we introduce two new families of generalised Hermite polynomials/functions (GHPs/GHFs) in arbitrary dimensions, and develop efficient and accurate generalised Hermit…

A C1 Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence

Generalised Hermite spectral methods for PDEs involving integral fractional Laplacian and Schrödinger operators

A $C^{1}$ Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence