2 papers
math.NA2020
Preconditioned Legendre spectral Galerkin methods for the non-separable elliptic equation
Xuhao Diao, Jun Hu, Suna Ma
The Legendre spectral Galerkin method of self-adjoint second order elliptic equations usually results in a linear system with a dense and ill-conditioned coefficient matrix. In thi…
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…