首页>
外文OA文献
>The stability of numerical boundary treatments for compact high-order finite-difference schemes
【2h】
The stability of numerical boundary treatments for compact high-order finite-difference schemes
展开▼
机译:紧致高阶有限差分格式数值边界处理的稳定性
展开▼
免费
页面导航
摘要
著录项
引文网络
相似文献
相关主题
摘要
The stability characteristics of various compact fourth and sixth order spatial operators are assessed using the theory of Gustafsson, Kreiss and Sundstrom (G-K-S) for the semi-discrete Initial Boundary Value Problem (IBVP). These results are then generalized to the fully discrete case using a recently developed theory of Kreiss. In all cases, favorable comparisons are obtained between the G-K-S theory, eigenvalue determination, and numerical simulation. The conventional definition of stability is then sharpened to include only those spatial discretizations that are asymptotically stable. It is shown that many of the higher order schemes which are G-K-S stable are not asymptotically stable. A series of compact fourth and sixth order schemes, which are both asymptotically and G-K-S stable for the scalar case, are then developed.
展开▼