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Asymptotology

About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.


Papers
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Journal ArticleDOI
TL;DR: In this article, the asymptotic estimate for large solutions of one-dimensional generalized diffusion equations with regularly varying Green functions was given for all solutions of the semigroup T_tf(x) with speed measure functions.
Abstract: We give the asymptotic estimate for large $t$ of elementary solutions of one-dimensional generalized diffusion equations with regularly varying Green functions. As a corollary we obtain the precise asymptotic behavior of the semigroup $T_tf(x)$ for all $f \in L_1(dm)$ if the speed measure function $m(x)$ is regularly varying as $x \rightarrow \pm \infty$.

19 citations

Journal ArticleDOI
TL;DR: In this article, the second terms of the asymptotic expansions of Toth's formulae are extended by specifying the second term of the first terms of their expansions.
Abstract: L. Fejes Toth gave asymptotic formulae as n → ∞ for the distance between a smooth convex disc and its best approximating inscribed or circumscribed polygons with at most n vertices, where the distance is in the sense of the symmetric difference metric. In this paper these formulae are extended by specifying the second terms of the asymptotic expansions. Tools are from affine differential geometry.

19 citations

BookDOI
01 Jan 2011
TL;DR: A survey of asymptotic methods in fluid mechanics and applications is given in this paper, including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asmptotics), hybrid methods, exponential and multiple scales methods in meteorology.
Abstract: A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.

19 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20231
20222
20181
201725
201626
201526