Results 11 to 20 of about 10,447 (303)
Let \(\{V_n\}\) be a sequence of vector spaces with \(V_{n + 1} \subseteq V_n\) for \(n = 0,1,2, \dots\). A series \(\sum^\infty_{n = 0} v_n\) with \(v_n \in V_n\) is called a pre-asymptotic expansion of \(v \in V_0\), written \(v \sim \sum^\infty_{n = 0} v_n\) with respect to \(\{V_n\}\), if \(v - \sum^N_{n = 0} v_n \in V_{N + 1}\) for all \(N ...
Durán, A.L., Estrada, R., Kanwal, R.P.
openaire +4 more sources
Asymptotic hyperfunctions, tempered hyperfunctions, and asymptotic expansions [PDF]
S.755-788We introduce new subclasses of Fourier hyperfunctions of mixed type, satisfying polynomial growth conditions at infinity, and develop their sheaf and duality theory.
Andreas U. Schmidt
doaj +3 more sources
Nonlinear aspects of high Reynolds number channel flows [PDF]
This paper considers the flow in a two-dimensional channel at high Reynolds number, with wall deformations which can lead to flow separation. An asymptotic model is proposed by using the successive complementary expansion method with generalized ...
Mauss, Jacques +2 more
core +1 more source
Asymptotic Expansions of the Wavelet Transform for Large and Small Values of b
Asymptotic expansions of the wavelet transform for large and small values of the translation parameter b are obtained using asymptotic expansions of the Fourier transforms of the function and the wavelet.
R. S. Pathak, Ashish Pathak
doaj +1 more source
On a Test of Homogeneity of Variances [PDF]
In this paper asymptotic expansions of the non-null distribution of Bartlett's statistic for testing hemogeneity of variances of p normal populations are obtained under local lternatives. The expansions are in terms of chi-square distributions.
B.N. Nagarsenker, P.B. Nagarsenker
doaj +1 more source
Analysis of quasi-lattice distributions of statistics from finite population
Edgeworth expansions are used for approximation of quantiles, estimation of parameters, construction of confidence intervals and testing hypothesis. Paper shows how to construct ` ` long'' Edgewort asymptotic expansions.
Jurgita Turkuvienė, Algimantas Bikelis
doaj +3 more sources
The Asymptotics of Solutions of a Singularly Perturbed Equation with a of Fractional Turning Point
We develop the classical Vishik – Lyusternik – Vasil’eva – Imanaliev boundary-value method for constructing uniform asymptotic expansions of solutions of singularly perturbed equations with singular points.
D. A. Tursunov, K. G. Kozhobekov
doaj +1 more source
Analysis of Mixed Elliptic and Parabolic Boundary Layers with Corners
We study the asymptotic behavior at small diffusivity of the solutions, uε, to a convection-diffusion equation in a rectangular domain Ω. The diffusive equation is supplemented with a Dirichlet boundary condition, which is smooth along the edges and ...
Gung-Min Gie +2 more
doaj +1 more source
Asymptotic expansions through the loop-tree duality
Asymptotic expansions of Feynman amplitudes in the loop-tree duality formalism are implemented at integrand-level in the Euclidean space of the loop three-momentum, where the hierarchies among internal and external scales are well-defined.
Judith Plenter, Germán Rodrigo
doaj +1 more source
An order verification method for truncated asymptotic expansion solutions to initial value problems
The focus of this paper is to obtain explicit solutions to initial value problems, where numerical methods cannot provide one, and to verify the accuracy orders of the explicit solutions.
Sudi Mungkasi
doaj +1 more source

