ADAPTIVE MESH SELECTION STRATEGIES FOR SOLVING BOUNDARY-VALUE PROBLEMS
ADAPTIVE MESH SELECTION STRATEGIES FOR SOLVING BOUNDARY-VALUE PROBLEMS
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DOI：
10.1137/0715004
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发表时间：
1978-01-01
影响因子：
2.9
通讯作者：
CHRISTIANSEN, J
中科院分区：
文献类型：
--
作者：
RUSSELL, RD;CHRISTIANSEN, J
各种自适应网格选择策略解决两点边值问题，并进行了有限的比较。采用配点法进行网格划分，并对部分网格划分方法进行了误差分析。一些观察和结论是有效的其他非初始值类型的方法（和更一般的微分方程）。去除区域的解决方案已被准确计算，然后分别解决那些区域的解决方案仍然是穷人的影响进行了研究。在列举了几个有代表性的实例后，得出了一些结论。
Various adaptive mesh selection strategies for solving two-point boundary value problems are brought together and a limited comparison is made. The mesh strategies are applied using collocation methods, and a careful error analysis is made for some of them. A number of the observations and conclusions are valid for the other noninitial value type methods (and for more general differential equations). The effects of removing regions where the solution has been accurately computed and then separately solving on those regions for which the solution is still poor are investigated. After presenting several representative examples, some conclusions are drawn.