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: In this article, the authors present an analysis of the asymptotic behavior of the solutions to various iterative linear least-squares methods that synthesize transfer functions from frequency-response data.
Abstract: This paper presents an analysis of the asymptotic behaviour of the solutions to various iterative linear least-squares methods that synthesize transfer functions from frequency-response data. The methods of Sanathanan and Koerner and Lawrence and Rogers are shown to possess asymptotic solutions that do not coincide with the solution to a fundamental non-linear least-squares criterion. Several methods with more appropriate asymptotic behaviour are then suggested. The analytical tools presented should allow analysis of conditions for the convergence of iterative linear least-squares methods.
75 citations
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18 Feb 2014
TL;DR: In this paper, the authors introduce a theory of asymptotic expansion of generalized functions, which is a generalization of the theory of distributional expansion of Dirac delta functions.
Abstract: Basic results in asymptotics introduction to the theory of distributions a distributional theory of asymptotic expansions the asymptotic expansion of multi-dimensional generalized functions the asymptotic expansion of certain series considered by Ramamujan series of dirac delta functions.
74 citations
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01 Jan 1998
TL;DR: The asymptotic approaches in nonlinear dynamics is one of the literary work in this world in suitable to be reading material and it will show the amazing benefits of reading a book.
Abstract: Now, we come to offer you the right catalogues of book to open. asymptotic approaches in nonlinear dynamics is one of the literary work in this world in suitable to be reading material. That's not only this book gives reference, but also it will show you the amazing benefits of reading a book. Developing your countless minds is needed; moreover you are kind of people with great curiosity. So, the book is very appropriate for you.
73 citations
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TL;DR: A general ODE model is proposed to describe epidemic systems that includes many epidemic systems already analyzed via different methods by various authors and is carried out with applications to several models.
Abstract: In this paper a general ODE model is proposed to describe epidemic systems. The mathematical structure of such a model is so general that it includes many epidemic systems already analyzed via different methods by various authors. The asymptotic analysis of the general system is carried out with applications to several models.
72 citations