Results 11 to 20 of about 148,179 (227)
Approximate Methods for Solving Problems of Mathematical Physics on Neural Hopfield Networks
Mathematics, 2022 A Hopfield neural network is described by a system of nonlinear ordinary differential equations. We develop a broad range of numerical schemes that are applicable for a wide range of computational problems.
Ilya Boykov +2 more
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Mathematics, 2021 Controlled dynamic systems with an entropy operator (DSEO) are considered. Mathematical models of such systems were used to study the dynamic properties in demo-economic systems, the spatiotemporal evolution of traffic flows, recurrent procedures for ...
Yuri S. Popkov
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Problems of steady vibrations in the coupled linear theory of double-porosity viscoelastic materials
Archives of Mechanics, 2021 In the present paper the coupled linear theory of double-porosity viscoelastic materials is considered and the basic boundary value problems (BVPs) of steady vibrations are investigated.
M.M. Svanadze
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Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 The aim of the present work is to introduce a method based on the Chebyshev polynomials for numerical solution of a system of Cauchy type singular integral equations of the first kind on a finite segment. Moreover, an estimation error is computed for the
S. Ahdiaghdam, S. Shahmorad
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Boundary control of a singular reaction-diffusion equation on a disk [PDF]
, 2016 Recently, the problem of boundary stabilization for unstable linear constant-coefficient reaction-diffusion equation on N-balls has been solved by means of the backstepping method.
Krstic, Miroslav, Vazquez, Rafael
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Известия Иркутского государственного университета: Серия "Математика", 2017 This paper is dedicated to the 110th anniversary of the dean of the mathematical faculty of Irkutsk State University Vladimir Vladimirovich Vasiliev.
M. V. Bulatov, V. F. Chistyakov
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Accurate computation of Galerkin double surface integrals in the 3-D boundary element method [PDF]
, 2015 Many boundary element integral equation kernels are based on the Green's functions of the Laplace and Helmholtz equations in three dimensions. These include, for example, the Laplace, Helmholtz, elasticity, Stokes, and Maxwell's equations.
Adelman, Ross +2 more
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Finite-part singular integral approximations in Hilbert spaces
International Journal of Mathematics and Mathematical Sciences, 2004 Some new approximation methods are proposed for the numerical evaluation of the finite-part singular integral equations defined on Hilbert spaces when their singularity consists of a homeomorphism of the integration interval, which is a unit circle, on ...
E. G. Ladopoulos +2 more
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Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case [PDF]
, 2015 By means of Riemann boundary value problems and of certain convenient systems of linear algebraic equations, this paper deals with the solvability of a class of singular integral equations with rotations and degenerate kernel within the case of a ...
Chuan L. H. +23 more
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Two‐grid iteration method for weakly singular integral equations
Mathematical Modelling and Analysis, 2000 For the solution of weakly singular integral equations by the piecewise polynomial collocation method it is necessary to solve large linear systems.
K. Hakk
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