A spectral MUSCL scheme for gPC-Galerkin method to uncertain hyperbolic equations

This paper deals with a problem that we found when directly implementing the scalar MUSCL scheme to spectral coefficient equations of the gPC-Galerkin method. The order degradation at extrema of spectral coefficients and non-uniform reconstruction process lead to a distortion of standard deviation a...

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Bibliographic Details
Main Authors: Linying Li, Bin Zhang, Hong Liu
Format: Article
Language:English
Published: AIP Publishing LLC 2023-02-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0127988