Stability theory for some scalar finite difference schemes: validity of the modified equations approach*
In this paper, we discuss some limitations of the modified equations approach as a tool for stability analysis for a class of explicit linear schemes to scalar partial differential equations. We show that the infinite series obtained by Fourier transform of the modified equation is not always conver...
Main Authors: | Dhaouadi Firas, Duval Emilie, Tkachenko Sergey, Vila Jean-Paul |
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Format: | Article |
Language: | English |
Published: |
EDP Sciences
2021-01-01
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Series: | ESAIM: Proceedings and Surveys |
Online Access: | https://www.esaim-proc.org/articles/proc/pdf/2021/01/proc2107008.pdf |
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