Nontensorial generalised hermite spectral methods for PDEs with fractional Laplacian and Schrödinger operators

• Main Authors: Sheng, Changtao, Ma, Suna, Li, Huiyuan, Wang, Li-Lian, Jia, Lueling
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2022
• 主題: Science::Mathematics; Generalised Hermite Polynomials; Integral Fractional Laplacian
• 在線閱讀: https://hdl.handle.net/10356/159739

In this paper, we introduce two families of nontensorial generalised Hermite polynomials/functions (GHPs/GHFs) in arbitrary dimensions, and develop efficient and accurate spectral methods for solving PDEs with integral fractional Laplacian (IFL) and/or Schrödinger operators in d. As a generalisation...