Topic
Asymptotology
About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.
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2 citations
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TL;DR: In this article, it was shown that under suitable conditions (primarily of a symmetry nature) an adaptive L-sta-tistic has the same asymptotic distribution as a non-adaptive L-statistic.
Abstract: The purpose of this note is to give a simple demonstration of the apparently widely-known principle that, under suitable conditions (primarily of a symmetry nature) an adaptive L-sta-tistic has the same asymptotic distribution as a non-adaptive L-statistic.
2 citations
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TL;DR: In this article, the authors deal with the asymptotic theory of initial value problems for semilinear wave equations in three dimensions, and the well-posedness and validity of formal approximations on a long time scale of order ∣e∣−1 are discussed in the classical sense of C 2.
Abstract: This paper deals with the asymptotic theory of initial value problems for semilinear wave equations in three space dimensions. The well-posedness and validity of formal approximations on a long time scale of order ∣e∣−1 are discussed in the classical sense of C 2. This result describes accuratively the approximations of solutions. At the end of this paper, an application of the asymptotic theory is given to analyze a special model for a perturbed wave equation.
2 citations
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TL;DR: In this paper, an asymptotic analysis of a class of parabolic systems arising from singularly perturbed diffusions is presented, where the underlying system has a fast varying component and a slowly changing component.
Abstract: This work is concerned with asymptotic properties of a class of parabolic systems arising from singularly perturbed diffusions. The underlying system has a fast varying component and a slowly changing component. One of the distinct features is that the fast varying diffusion is transient. Under such a setup, this paper presents an asymptotic analysis of the solutions of such parabolic equations. Asymptotic expansions of functional satisfying the parabolic system are obtained. Error bounds are derived.
2 citations