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 derived mathematical conditions which characterize the asymptotic behavior of a class of finite difference equations and applied them to the theory of optimal control, and showed that these conditions find application in optimal control.
Abstract: Mathematical conditions are derived which characterize the asymptotic behaviour of a. class of finite difference equations. The results find application in the theory of optimal control.
1 citations
1 citations
TL;DR: In this article, the asymptotic behavior of solutions of a second-order semilinear parabolic equation is analyzed in a cylindrical domain that is bounded in the space variables.
Abstract: The asymptotic behaviour of solutions of a second-order semilinear parabolic equation is analyzed in a cylindrical domain that is bounded in the space variables. The dominant term of the asymptotic expansion of the solution as is found. It is shown that the solution of this problem is asymptotically equivalent to the solution of a certain non-linear ordinary differential equation. Bibliography: 8 titles.
1 citations
1 citations
01 Jan 1998
TL;DR: In this article, it was shown that transport in high contrast conductive media has a discrete behavior and that the transport problem has an asymptotic, resistor-independant-capacitor network approximation.
Abstract: We show that transport in high contrast conductive media has a discrete behavior. In the asymptotic limit of infinitely high contrast, the effective impedance and the magnetic field in such media are given by discrete min-max variational principles. Furthermore, we show that the transport problem has an asymptotic, resistor-inductor-capacitor network approximation. We use new variational formulations of the effective impedance of the media, and we assess the accuracy of the asymptotic approximation by numerical computations.
1 citations