Topic
Method of matched asymptotic expansions
About: Method of matched asymptotic expansions is a research topic. Over the lifetime, 4233 publications have been published within this topic receiving 73311 citations.
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TL;DR: In this paper, the authors performed an analysis for a fully-developed, forced convective flow through a packed-sphere bed between concentric cylinders maintained at different temperatures using the Brinkman model with variable permeability.
97 citations
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01 Jan 1993
TL;DR: This paper presents a meta-modelling of Complex Systems with Asymptotic-Enhanced Numerical Methods and its applications in Scientific Computing and Symbolic Manipulation Tools for AsymPTotic Analysis.
Abstract: Preface. Part 1: Modeling of Complex Systems with Asymptotic-Enhanced Numerical Methods. Part 2: Asymptotic-Induced Domain Decomposition Methods. Part 3: Multiple-Scale Problems in Scientific Computing. Part 4: Applied and Asymptotic Analysis. Part 5: Symbolic Manipulation Tools for Asymptotic Analysis. Part 6: Numerical Methods, Algorithms, and Architectures. Index.
97 citations
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TL;DR: In this article, the convergence of solutions to the Navier-Stokes equations to the stationary one was proved using a direct method and a Razumikhin-type method.
Abstract: Some results on the asymptotic behaviour of solutions to Navier–Stokes equations when the external force contains some hereditary characteristics are proved. We show two different approaches to prove the convergence of solutions to the stationary one, when this is unique. The first is a direct method, while the second is based on a Razumikhin–type method.
97 citations
01 Jan 1979
TL;DR: In this article, asymptotic expansions of the null distributions of the likelihood ratio statistic, Wald's and Rao's statistics, were shown to possess asymptic expansions in powers of n −1.
Abstract: Let {Z n } n≥1 be a sequence of random vectors. Under certain conditions, distributions of statistics which are smooth functions of the mean vector Z n - and whose asymptotic distributions are central Chi-square are shown to possess asymptotic expansions in powers of n -1 As applications, asymptotic expansions of the null distributions of the likelihood ratio statistic, Wald's and Rao's statistics are obtained. The results proved here supplement the recent work of Bhattacharya and Ghosh (1978) and also justify the validity of the formal expansions obtained by Box (1949) and Hayakawa (1977).
96 citations
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TL;DR: The authors' attention is focused on the design of a composite linear controller based on the slow and fast problems such that both stability and a prescribed H/sub /spl infin// performance for the full-order system are achieved.
Abstract: This paper deals with the problem of control of singularly perturbed linear continuous-time systems. The authors' attention is focused on the design of a composite linear controller based on the slow and fast problems such that both stability and a prescribed H/sub /spl infin// performance for the full-order system are achieved. The asymptotic behavior of the composite controller is studied, which is independent of the singular perturbation /spl epsiv/ when /spl epsiv/ is sufficiently small. Furthermore, the problem of robust control for the above system with parameter uncertainty is also investigated.
96 citations