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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TL;DR: A survey of results on boundary function based models for natural resource modeling using boundary function method is presented in this paper. Detailed reduction procedures as well as conditions under which the reductions are at all possible are discussed.
Abstract: . A survey of results on reduction of models related to problems of natural resource modeling using the boundary function method is presented. Detailed reduction procedures as well as conditions under which the reductions are at all possible are discussed. Particular asymptotic techniques are illustrated by simple examples taken from chemical kinetics, and a realistic example from atmospheric chemistry modeling.
5 citations
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TL;DR: In this article, the authors deal with the problem of constructing and proving asymptotic expansions for nonlinear, singularly perturbed difference equations, based on the concepts of e-stability and matching.
Abstract: The present paper deals with the problem of constructing and proving asymptotic expansions for nonlinear, singularly perturbed difference equations. New methods for the construction of asymptotic expansions are presented and compared with well-known ones. For the proof of their validity, fundamental principles for the treatment of nonlinear singular perturbation problems are applied, based on the concepts of e-stability, formal asymptotic expansions, matching and asymptotic expansions. The results are derived from a general theory of asymptotic expansions of nonlinear operator equations that has been developed recently by the author.
5 citations