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

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...

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Bibliographic Details
Main Authors: Sheng, Changtao, Ma, Suna, Li, Huiyuan, Wang, Li-Lian, Jia, Lueling
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2022
Subjects:
Online Access:https://hdl.handle.net/10356/159739
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Institution: Nanyang Technological University
Language: English