scispace - formally typeset
Search or ask a question
Topic

Asymptotology

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


Papers
More filters
Journal ArticleDOI
TL;DR: In this article, an asymptotic approximation for solutions of a matrix differential equation with symmetric matrix coefficient, analytic on the real line, was obtained for various singularities near infinity.

7 citations

Journal ArticleDOI
TL;DR: In this article, the Brownian motion over the space of fluid velocity configurations driven by the hydrodynamical equations is considered and the Green function is computed in the form of an asymptotic series close to the standard diffusion kernel.

7 citations

Journal ArticleDOI
TL;DR: A new asymptotic scheme for intensity statistics of waves in random media with a pure power-law correlation is presented and provides effective and accurate asymPTotic expansion series for all intensity moments.
Abstract: A new asymptotic scheme for intensity statistics of waves in random media with a pure power-law correlation is presented. In the strong scattering regime it provides effective and accurate asymptotic expansion series for all intensity moments. The new first-order result, which is considerably more accurate than that from the existing asymptotic theory, may also serve as a starting point for useful statistical models.

7 citations

Journal ArticleDOI
TL;DR: In this article, the authors studied the asymptotic theory of initial value problems for a semilinear perturbed telegraph equation and constructed formal approximations on a long timescale O(∣e∣−1).
Abstract: This paper is devoted to studying the asymptotic theory of initial value problems for a semilinear perturbed telegraph equation. The asymptotic theory and validity of formal approximations are constructed on long timescale O(∣e∣−1. As an application of the asymptotic theory, the initial value problems for a special telegraph equation are studied and two asymptotic solutions of order O(∣e∣−1 are presented.

7 citations


Network Information
Related Topics (5)
Stochastic partial differential equation
21.1K papers, 707.2K citations
84% related
Differential equation
88K papers, 2M citations
83% related
Numerical partial differential equations
20.1K papers, 703.7K citations
82% related
Bounded function
77.2K papers, 1.3M citations
81% related
Partial differential equation
70.8K papers, 1.6M citations
81% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20231
20222
20181
201725
201626
201526