A brief survey on numerical methods for solving singularly perturbed problems
A brief survey on numerical methods for solving singularly perturbed problems
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DOI：
10.1016/j.amc.2010.09.059
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发表时间：
2010-12-15
影响因子：
4
通讯作者：
Gupta, Vikas
中科院分区：
文献类型：
--
作者：
Kadalbajoo, Mohan K.;Gupta, Vikas
在本文中，对不同类别的奇异扰动问题的计算技术进行了简要概述。这项调查是第一作者之前所做工作的延续，包含研究人员在 2000 年至 2009 年期间所做工作的文献。然而，一些较旧的重要相关论文也包含在本次调查中。我们还提到了本文第一作者在之前的调查论文中未调查过的论文，请参阅[Appl.数学。计算。 30 (1989) 223-259, 130 (2002) 457-510, 134 (2003) 371-429]了解详情。因此，这篇综述论文包含了大量关于奇异摄动问题的文献，确实可以作为奇异摄动问题的一些思想和方法的介绍。 (C) 2010 Elsevier Inc. 保留所有权利。
In the present paper, a brief survey on computational techniques for the different classes of singularly perturbed problems is given. This survey is a continuation of work performed earlier by the first author and contains the literature of the work done by the researchers during the years 2000-2009. However some older important relevant papers are also included in this survey. We also mentioned those papers which are not surveyed in the previous survey papers by the first author of this paper, see [Appl. Math. Comput. 30 (1989) 223-259, 130 (2002) 457-510, 134 (2003) 371-429] for details. Thus this survey paper contains a surprisingly large amount of literature on singularly perturbed problems and indeed can serve as an introduction to some of the ideas and methods for the singular perturbation problems. (C) 2010 Elsevier Inc. All rights reserved.