A high-order convergence analysis for semi-Lagrangian scheme of the Burgers' equation

In this article, we provide a comprehensive convergence and stability analysis of a semi-Lagrangian scheme for solving nonlinear Burgers' equations with a high-order spatial discretization. The analysis is for the iteration-free semi-Lagrangian scheme comprising the second-order backward finite...

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Bibliographic Details
Main Authors: Philsu Kim, Seongook Heo, Dojin Kim
Format: Article
Language:English
Published: AIMS Press 2023-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023571?viewType=HTML