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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3 citations
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TL;DR: In this article, the perturbation series for the formal integral of two-dimensional area-preserving mappings is considered and asymptotic formulas for large order terms of this expansion are derived.
3 citations
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TL;DR: The main results on the optimization of Monte Carlo algorithms based on the asymptotic solutions of the transport theory are presented in this paper, where the methods of constructing such algorithms for a number of problems in atmospheric optics are analysed.
Abstract: The main results on the optimization of Monte Carlo algorithms based on the asymptotic solutions of the transport theory are presented. The methods of constructing such algorithms for a number of problems in atmospheric optics are analysed. Approaches to optimizing the simulation of radiative transfer with non-exponential absorption are described. The algorithms are aimed at computing the transmission of IR radiation through cloud layers in the absorption bands of atmospheric gases. 1. IMPORTANCE SAMPLING In terms of the ray-optics approximation, the transfer of optic radiation in scattering and absorbing media can be described (see, for example, [9]) by an integral equation of the second kind f J /(x)= /c(x',x)/(x')dx' + iA(x) (1.1) x where /(x) is the density of collisions or scattering events for particles (light quanta) in the medium in the phase space Χ; χ and χΈΧ\ and ψ(χ) is the density of'collisions' in the source. We shall consider problems whose solutions can be reduced to estimating functional of the type J* = (/, Φ) = I /(*)#*) dx, φ(χ) > 0. (1.2) Jx It is well known (see, for example, [4]) that
3 citations
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01 Jan 1987TL;DR: In this paper, a definition of asymptotic expectation is given and its fundamental properties are discussed, and a detailed discussion of the fundamental properties of the definition of expectation is provided.
Abstract: In this paper a definition of asymptotic expectation is given and its fundamental properties are discussed.
3 citations
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3 citations