Civil engineering applications of the Asymptotic Expansion Load Decomposition beam model: an overview
Sign Up to like & getrecommendations! Published in 2021 at "Continuum Mechanics and Thermodynamics"
DOI: 10.1007/s00161-021-01027-x
Abstract: The Asymptotic Expansion Load Decomposition higher-order beam model is based on the classical two-scale asymptotic expansion in the linear elasticity framework.It was successively extended to eigenstrains and to plasticity in small deformations in different papers.… read more here.
Keywords: asymptotic expansion; expansion load; load decomposition; beam model ... See more keywords
Perturbation Theory for Almost-Periodic Potentials I: One-Dimensional Case
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03329-3
Abstract: We consider the family of operators $${H^{(\varepsilon)}:=-\frac{d^2}{dx^2}+\varepsilon V}$$H(ε):=-d2dx2+εV in $${\mathbb{R}}$$R with almost-periodic potential V. We study the behaviour of the integrated density of states (IDS) $${N(H^{(\varepsilon)};\lambda)}$$N(H(ε);λ) when $${\varepsilon\to 0}$$ε→0 and $${\lambda}$$λ is a fixed energy.… read more here.
Keywords: theory almost; varepsilon; perturbation theory; almost periodic ... See more keywords
Asymptotic expansion of general relativity with Galilean covariance
Sign Up to like & getrecommendations! Published in 2020 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-020-02738-3
Abstract: The Galilean gravitation derives from a scalar potential and a vector one. Poisson’s equation to determine the scalar potential has not the expected Galilean covariance. Moreover, there are three missing equations to determine the potential… read more here.
Keywords: expansion general; general relativity; galilean covariance; asymptotic expansion ... See more keywords
Numerical verification of the orders of accuracy of truncated asymptotic expansion solutions to the van der Pol equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-020-01191-6
Abstract: We propose a numerical method to verify the orders of accuracy of truncated asymptotic expansion solutions to the van der Pol equation. Our proposed method is simpler than an existing method (Deeba and Xie in… read more here.
Keywords: accuracy truncated; orders accuracy; solutions van; truncated asymptotic ... See more keywords
The multiscale asymptotic expansion method for three-dimensional static analyses of periodical composite structures
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DOI: 10.1016/j.compstruct.2017.06.063
Abstract: Abstract The decoupled multiscale asymptotic expansion method (MsAEM) is applied to the static analyses of three-dimensional (3D) periodical composite structures in this paper, and we focus on the attributes of the method in application. By… read more here.
Keywords: multiscale asymptotic; expansion method; method; composite structures ... See more keywords
Line width at half maximum of the Voigt profile in terms of Gaussian and Lorentzian widths: Normalization, asymptotic expansion, and chebyshev approximation
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DOI: 10.1016/j.ijleo.2019.163919
Abstract: Abstract Normalization by the Voigt width was applied to both the Lorentz and Gaussian widths in the half width at half maximum (HWHM) equation. The normalization simplified the HWHM equation into a univariate relation for… read more here.
Keywords: half maximum; chebyshev approximation; width half; normalization ... See more keywords
Asymptotic expansion of Mathieu power series and trigonometric Mathieu series
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.07.029
Abstract: We consider a generalized Mathieu series where the summands of the classical Mathieu series are multiplied by powers of a complex number. The Mellin transform of this series can be expressed by the polylogarithm or… read more here.
Keywords: asymptotic expansion; trigonometric mathieu; mathieu; mathieu series ... See more keywords
Asymptotic expansion for vector-valued sequences of random variables with focus on Wiener chaos
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DOI: 10.1016/j.spa.2018.09.018
Abstract: We develop the asymptotic expansion theory for vector-valued sequences (F N) N ≥1 of random variables in terms of the convergence of the Stein-Malliavin matrix associated to the sequence F N. Our approach combines the… read more here.
Keywords: asymptotic expansion; valued sequences; sequences random; random variables ... See more keywords
A high-genus asymptotic expansion of Weil–Petersson volume polynomials
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DOI: 10.1063/5.0039385
Abstract: The object under consideration in this article is the total volume V g, n( x1, …, x n) of the moduli space of hyperbolic surfaces of genus g with n boundary components of lengths x1,… read more here.
Keywords: asymptotic expansion; petersson volume; volume; expansion ... See more keywords
CCF approach for asymptotic option pricing under the CEV diffusion
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DOI: 10.1080/00207160.2019.1639675
Abstract: In the last two decades, the asymptotic expansion approach has become popular in mathematical finance because it enables us to obtain closed-form approximation formulae for many kinds of options within various kinds of financial models,… read more here.
Keywords: option; approach asymptotic; ccf approach; approach ... See more keywords
Asymptotic expansion of the solution of the master equation and its application to the speed limit.
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DOI: 10.1103/physreve.104.054139
Abstract: We investigate an asymptotic expansion of the solution of the master equation under the modulation of control parameters. In this case, the nondecaying part of the solution becomes the dynamical steady state expressed as an… read more here.
Keywords: asymptotic expansion; expansion solution; solution; solution master ... See more keywords