Review of explicit Falkner methods and its modifications for solving special second-order I.V.P.s

Ramos H.; Lorenzo C.

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Review of explicit Falkner methods and its modifications for solving special second-order I.V.P.s

机译：回顾用于解决特殊二阶I.V.P.s的显式Falkner方法及其修改

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The unusual implementation of explicit Falkner methods for solving special second-order initial-value problems increases the order of the method as will be shown by means of numerical examples. In this paper we made an analysis of the propagation of the truncation errors in both the usual and the unusual implementations, thus justifying the numerical results obtained. By that, some error bounds for the global truncation errors on the solution and on the derivative are provided. Some numerical examples confirm that the bounds are realistic. Stability analysis is also addressed, and intervals of stability are presented.

机译：显式的Falkner方法用于解决特殊的二阶初值问题的不寻常实现增加了方法的阶数，如数值示例所示。在本文中，我们分析了在通常和不寻常的实现中截断误差的传播，从而证明了获得的数值结果的合理性。这样，提供了解决方案和导数上的全局截断误差的一些误差范围。一些数值示例证实了边界是现实的。还讨论了稳定性分析，并提出了稳定性间隔。

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《Computer physics communications》 |2010年第11期|共9页
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Ramos H.; Lorenzo C.;
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正文语种 eng
中图分类计算机的应用;
关键词
Direct integration methods; Error analysis; Falkner explicit methods; Second-order initial-value problems; Stability analysis;

机译：直接积分法;误差分析;福克纳显式法;二阶初值问题;稳定性分析;

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Review of explicit Falkner methods and its modifications for solving special second-order I.V.P.s

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