Results 61 to 70 of about 428,778 (188)
Equationis a delay partial differential equation with an arbitrary functional G. Group analysis method is applied to find symmetries of the equation and to make group classification.
Tanthanuch, J. (Jessada)
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Partial difference equations arising from the Cauchy-Riemann equations
We consider some functional equations arising from the Cauchy-Riemann equations, and certain related functional equations. First we propose a new functional equation (E.1) below, over a $2$-divisible Abelian group, which is a discrete version of the ...
S. Haruki, S. Nakagiri
doaj
Reduction of Linear Functional Systems using Fuhrmann's Equivalence
Functional systems arise in the treatment of systems of partial differential equations, delay-differential equations, multidimensional equations, etc. The problem of reducing a linear functional system to a system containing fewer equations and unknowns ...
Mohamed S. Boudellioua
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Spline Technique for Second Type of Fredholm Integral Equations
Integral equation plays very important tools in a developed science like numerous troubles in an engineering and mechanical sciences . a cubic spline method renowned to begin with one powerful role to solve many functional equations like integral ...
Ahmed Jaber, Adil Alrammahi
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Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method [PDF]
We consider the problem of computing a linear functional of the solution of an elliptic partial differential equation to within a given tolerance. We drive an a posteriori error bound for the linear functional and use this as the basis of an hp-adaptive ...
Gavaghan, D. J. +2 more
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Sobolev gradients and image interpolation
We present here a new image inpainting algorithm based on the Sobolev gradient method in conjunction with the Navier-Stokes model. The original model of Bertalmio et al is reformulated as a variational principle based on the minimization of a well chosen
Danaila, Ionut, Kazemi, Parimah
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Abstract Functional Stochastic Evolution Equations Driven by Fractional Brownian Motion
We investigate a class of abstract functional stochastic evolution equations driven by a fractional Brownian motion in a real separable Hilbert space. Global existence results concerning mild solutions are formulated under various growth and compactness ...
Mark A. McKibben, Micah Webster
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Minimizers for nonlocal perimeters of Minkowski type
We study a nonlocal perimeter functional inspired by the Minkowski content, whose main feature is that it interpolates between the classical perimeter and the volume functional.
Cesaroni, Annalisa +3 more
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In this paper, based on the white noise theory for d-parameter Lévy random fields given by (Holden et al. in Stochastic Partial Differential Equations: A modeling, white noise functional approach, 2010), we develop a white noise frame for anisotropic ...
Xuebin Lü, Wanyang Dai
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This article presents a new methodology called Deep Theory of Functional Connections (TFC) that estimates the solutions of partial differential equations (PDEs) by combining neural networks with the TFC.
Carl Leake, Daniele Mortari
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