Shadowing and the Viability Kernel Algorithm

Shadowing and the Viability Kernel Algorithm
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影子和可行性内核算法

DOI:
10.1007/s00245-009-9083-z
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发表时间:
2009
影响因子:
1.8
通讯作者:
J. Rieger
J. Rieger
中科院分区:
数学2区
文献类型:
--
作者:
J. Rieger

文献摘要

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本文的目的是推导出具有阴影特性的系统的生存核算法的精度估计。为了证明该算法在有限时间区间上与完全离散数值方法具有相同的收敛性,本文应用了最近发展的阴影结果。
The aim of this paper is to derive estimates for the accuracy of the Viability Kernel Algorithm for systems which have shadowing properties. Recently developed shadowing results are applied in order to prove for a certain class of right hand sides that the algorithm has the same convergence properties as fully discretized numerical methods on a finite time interval.