Reliable solution of special event location problems for ODEs
Reliable solution of special event location problems for ODEs
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DOI：
10.1145/103147.103149
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发表时间：
1991-03
期刊：
影响因子：
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通讯作者：
L. Shampine;I. Gladwell;R. Brankin
中科院分区：
文献类型：
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作者：
L. Shampine;I. Gladwell;R. Brankin
计算常微分方程组初值问题的解可能只是一项更大任务的一部分。一个这样的任务是找出解的代数函数(事件函数)在哪里有根(事件发生)。这无论在理论上还是在软件实践中都是一项艰巨的任务。对于某些有用的事件函数，可以避免两个基本困难。描述了如何以允许将能力嫁接到用于初值问题的流行代码的方式来实现此类问题的可靠解决方案。
Computing the solution of the initial value problem in ordinary differential equations (ODEs) may be only part of a larger task. One such task is finding where an algebraic function of the solution (an event function) has a root (an event occurs). This is a task which is difficult both in theory and in software practice. For certain useful kinds of event functions, it is possible to avoid two fundamental difficulties. It is described how to achieve the reliable solutions of such problems in a way that allows the capability to be grafted onto popular codes for the initial value problem.