Program for stability and accuracy analysis of finite difference methods
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资源简介：
Title of program: MODST
Catalogue Id: ACDF_v1_0
Nature of problem
One of the main problems in solving partial differential equations using finite difference methods is the evaluation of various properties of a finite difference algorithm such as order of accuracy, consistency and particularly stability. These problems must almost always be solved by hand. Using the analytical programming language REDUCE 2, the program determines the above properties of finite difference algorithms for simple partial differential equations.
Versions of this program held in the CPC repository in Mendeley Data
ACDF_v1_0; MODST; 10.1016/0010-4655(84)90169-3
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)
程序名称：MODST
目录编号：ACDF_v1_0
问题本质
采用有限差分法（finite difference methods）求解偏微分方程（partial differential equations）时，核心难题之一是对有限差分算法的多项特性进行评估，例如精度阶数、一致性，尤其是稳定性。此类问题几乎始终需通过手动方式求解。本程序借助分析型编程语言REDUCE 2，可针对简单偏微分方程的有限差分算法，计算上述各项特性。
存放在孟德雷数据集（Mendeley Data）中的CPC程序库（CPC Program Library）的该程序版本如下：
ACDF_v1_0; MODST; 10.1016/0010-4655(84)90169-3
本程序源自贝尔法斯特女王大学维护的CPC程序库（1969-2019）
创建时间：
2019-11-11
