Results 41 to 50 of about 13,556 (159)
Singularly Perturbed Elliptic Dirichlet Problem with a Multiple Root of the Degenerate Equation
Моделирование и анализ информационных систем, 2016 A singularly perturbed elliptic problem with Dirichlet boundary conditions is considered in the case of multiple roots of the degenerate equation. A complete asymptotic expansion of the solution is constructed and justified. It is qualitatively different
V. F. Butuzov, V. A. Beloshapko
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Asymptotic approximation with Stancu Beta operators
Journal of Numerical Analysis and Approximation Theory, 1998 The concern of this paper is a beta type operator \(L_n\) recently introduced by D.D. Stancu. We present the complete asymptotic expansion for \(L_n\) as \(n\) tends to infinity. All coefficients of \(n^{-k} \ (k=1,2, \ldots)\) are calculated explicitly
Ulrich Abel
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High-order topological asymptotic expansion for Stokes equations
Electronic Journal of Differential Equations, 2016 We use the topological sensitivity analysis method to solve various optimization problems. It consists of studying the asymptotic expansion of the objective function relative to a perturbation of the domain topology.
Mohamed Abdelwahed +2 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 The study is aimed at experimental and computational determination of the coefficients in crack tip asymptotic expansions for a wide class of specimens under mixed mode loading conditions.
Larisa V Stepanova, Vadim S Dolgich
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International Journal of Differential Equations, 2016 A reliable algorithm is presented to develop piecewise approximate analytical solutions of third- and fourth-order convection diffusion singular perturbation problems with a discontinuous source term.
Essam R. El-Zahar
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Solution of internal erosion equations by asymptotic expansion
MATEC Web of Conferences, 2012 One dimensional coupled soil internal erosion and consolidation equations are considered in this work for the special case of well determined sand and clay mixtures with a small proportion of clay phase.
Dubujet P. +4 more
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Transient viscous flow in an annulus
Mathematical Modelling and Analysis, 2002 The method of matched asymptotic expansions is used in the present paper to derive an approximate solution for transient flow of a viscous incompressible fluid in an annulus. The transient is caused by a sudden reduction of flow rate to zero. The laminar
A. A. Kolyshkin, I. Volodko
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On the expansion schemes in trajectory reversing method
Journal of Numerical Analysis and Approximation Theory, 2002 The paper deals with certain expansion schemes in trajectory reversing method for estimating asymptotic stability region of nonlinear dynamical systems. The asymptotic behavior of the sequence of estimates is investigated.
Ştefan Măruşter
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Asymptotic Power Series of Field Correlators
Acta Polytechnica, 2010 We address the problem of ambiguity of a function determined by an asymptotic perturbation expansion. Using a modified form of theWatson lemma recently proved elsewhere, we discuss a large class of functions determined by the same asymptotic power ...
I. Caprini, J. Fischer, I. Vrkoč
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Asymptotic Expansion of the Solutions to Time-Space Fractional Kuramoto-Sivashinsky Equations
Advances in Mathematical Physics, 2016 This paper is devoted to finding the asymptotic expansion of solutions to fractional partial differential equations with initial conditions. A new method, the residual power series method, is proposed for time-space fractional partial differential ...
Weishi Yin +3 more
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