An Extended Multistep Shanks Transformation and Convergence Acceleration Algorithm with Their Convergence and Stability Analysis

2013 ◽  
Vol 125 (4) ◽  
pp. 785-809 ◽  
Author(s):  
Jian-Qing Sun ◽  
Xiang-Ke Chang ◽  
Yi He ◽  
Xing-Biao Hu
Keyword(s):  
Stability Analysis ◽  
Convergence Acceleration ◽  
Convergence And Stability ◽  
Convergence Acceleration Algorithm ◽  
Convergence And Stability Analysis

scholarly journals Convergence and stability analysis of an explicit finite difference method for 2-dimensional reaction-diffusion equations

1994 ◽  
Vol 36 (2) ◽  
pp. 234-241 ◽  
Author(s):  
Nian Li ◽  
Joseph Steiner ◽  
Shimin Tang
Keyword(s):  
Stability Analysis ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Reaction Diffusion Equations ◽  
Conditional Convergence ◽  
Convergence And Stability ◽  
Explicit Finite Difference ◽  
Convergence And Stability Analysis ◽  
Explicit Finite Difference Method

AbstractThe convergence and stability analysis of a simple explicit finite difference method is studied in this paper. Conditional convergence and stability theorems for this method are given. We have also proved that this scheme is stable in a much stronger sense.

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