理论(学习稳定性)
数学
指数函数
有限元法
指数稳定性
数学分析
有限差分
边界(拓扑)
波动方程
边值问题
应用数学
物理
计算机科学
量子力学
非线性系统
机器学习
热力学
作者
Harvey Thomas Banks,Kazuho Ito,C. Wang
出处
期刊:International series of numerical mathematics
日期:1991-01-01
卷期号:: 1-33
被引量:49
标识
DOI:10.1007/978-3-0348-6418-3_1
摘要
We consider wave equations with damping in the boundary conditions. Techniques to ascertain the uniform preservation under approximation of exponential stability are presented. Several schemes for which preservation can be guaranteed are analyzed. Numerical results that demonstrate the lack of stability under approximation for several popular schemes (including standard finite difference and finite element schemes) are given.
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