Analysis of High Accuracy Conservation-Element and Solution-Element Schemes
Analysis of High Accuracy Conservation-Element and Solution-Element Schemes
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DOI：
10.1088/0256-307x/21/11/004
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发表时间：
2004-11
影响因子：
3.5
通讯作者：
Liu Kai-xin;Wang Jing-tao
中科院分区：
文献类型：
--
作者：
Liu Kai-xin;Wang Jing-tao
提出了一种构造精度较高的守恒元和解元（CE/SE）格式的技术。建立了二阶CE/SE格式，并在von Neumann必要条件的基础上检验了其稳定性条件。从精度和效率的角度出发，讨论了一阶CE/SE格式和高阶CE/SE格式的适用范围。
We propose a technique to construct higher accuracy conservation element and solution element (CE/SE) schemes. A second-order CE/SE scheme is established and its stability condition is examined on the basis of the von Neumann necessary condition. From the viewpoints of accuracy and efficiency, the applied range of the one-order CE/SE scheme and the high-order ones is discussed through some numerical examples.