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Mar 4, 2025Keywords:
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Development of A Generalised E-Calculator for The Mathematical Analysis of the General Linear Multistep Methods
Abstract
In this paper, we appreciate the use of a simple and powerful programming language to establish a computational mathematical tool for the analysis of convergence, stability and order of accuracy of the general Linear Multistep Methods
respectively.
This replaces the more rigorous pencil and paper calculation. The code was applied to several Adams-like Multistep methods and the results are consistent with the known computations in literature. Python language was used for the coding and the final product is in the class of robust online calculator/app with capacity of carrying out the mathematical analysis of the k-step (k=1,2,...,N, for N) linear multistep methods for both explicit or implicit types.
