A recent survey on computational techniques for solving singularly perturbed boundary value problems
A recent survey on computational techniques for solving singularly perturbed boundary value problems
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DOI：
10.1080/00207160701295712
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发表时间：
2007-10
影响因子：
1.8
通讯作者：
Manoj Kumar;Pitam Singh;H. K. Mishra
中科院分区：
文献类型：
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作者：
Manoj Kumar;Pitam Singh;H. K. Mishra
这篇综述论文包含了惊人的大量材料，确实可以作为奇异摄动理论的一些思想和方法的介绍。作为先前调查的延续，本文将其范围限制在2000年至2005年间由众多研究人员开发的一些标准数值方法上。摘要介绍了一些最近的方法的结果，并由此得出结论和建议关于奇异摄动问题的方法。由于空间的限制，我们只考虑一维奇摄动边值问题。
This survey paper contains a surprisingly large amount of material and indeed can serve as an introduction to some of ideas and methods of singular perturbation theory. In continuation of a survey performed earlier, this paper limits its coverage to some standard numerical methods developed by numerous researchers between 2000 and 2005. A summary of the results of some recent methods is presented and this leads to conclusions and recommendations regarding methods to use on singular perturbation problems. Because of space constraints, we considered one-dimensional singularly perturbed boundary value problems only.