Boundary value techniques for initial value problems in ordinary differential equations
Boundary value techniques for initial value problems in ordinary differential equations
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DOI：
10.1090/s0025-5718-1985-0790649-9
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发表时间：
1983
影响因子：
2
通讯作者：
A. Axelsson;J. Verwer
中科院分区：
文献类型：
--
作者：
A. Axelsson;J. Verwer
用边值法研究了常微分方程初值问题的数值解。我们讨论了Fox（1954年）和Fox和Mitchell（1957年）已经研究过的有限差分法。在此，我们集中于解释方法的基本原理，因为对于初值问题，边值方法似乎是相当未知的。我们进一步提出并讨论了沿边值方法的初值问题的新的jalerkin方法。
The numerical solution of initial value problems in ordinary differential equations by means of boundary value techniques is considered. We discuss a finite-difference method which was already investigated by Fox in 1954 and Fox and Mitchell in 1957. Hereby we concentrate on explaining the fundamentals of the method because for initial value problems the boundary value method seems to be fairly unknown. We further propose and discuss new (jalerkin methods for initial value problems along the lines of the boundary value approach.