Results 21 to 30 of about 22,003 (145)
A Simple Elimination of the Thermal Convection Effect in NMR Diffusiometry Experiments
Molecules, 2022 Thermal convection is always present when the temperature of an NMR experiment is different from the ambient one. Most often, it falsifies the value of the diffusion coefficient determined by NMR diffusiometry using a PGSE NMR experiment.
Dávid Nyul +3 more
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A nonlocal convection–diffusion equation
Journal of Functional Analysis, 2007 The authors study a nonlocal equation of the form \(u_t = J*u -u + G*(f(u)) - f(u)\) in \((0,\infty)\times\mathbb R^d\) subject to the initial condition \(u(x,0) = u_0(x)\), \(x \in\mathbb R^d\), with \(J\) radially symmetric and \(G\) not necessary symmetric. The nonlinearity \(f\) is assumed to be nondecreasing with \(f(0) = 0\) and locally Lipschitz
Ignat, L.I., Rossi, J.D.
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An Indefinite Convection-Diffusion Operator [PDF]
LMS Journal of Computation and Mathematics, 2007 AbstractWe give a mathematically rigorous analysis which confirms the surprising results in a recent paper of Benilov, O‘Brien and Sazonov [J. Fluid Mech. 497 (2003) 201-224] about the spectrum of a highly singular non-self-adjoint operator that arises in a problem in fluid mechanics.
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Graph Neural Convection-Diffusion with Heterophily
Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence, 2023 Graph neural networks (GNNs) have shown promising results across various graph learning tasks, but they often assume homophily, which can result in poor performance on heterophilic graphs. The connected nodes are likely to be from different classes or have dissimilar features on heterophilic graphs.
Zhao, Kai +5 more
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A monotone finite-difference high order accuracy scheme for the 2D convection – diffusion equations
Журнал Белорусского государственного университета: Математика, информатика, 2019 A stable finite-difference scheme is constructed on a minimum stencil of a uniform mesh for a two-dimensional steady-state convection – diffusion equation of a general form; the scheme is theoretically studied and tested.
Viktor K. Polevikov
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Entropy Schemes for One-Dimensional Convection-Diffusion Equations
Complexity, 2020 In this paper, we extend the entropy scheme for hyperbolic conservation laws to one-dimensional convection-diffusion equation. The operator splitting method is used to solve the convection-diffusion equation that is divided into conservation and ...
Rongsan Chen
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Mathematics, 2023 In order to obtain the numerical results of 3D convection-diffusion-reaction problems with variable coefficients efficiently, we select the improved element-free Galerkin (IEFG) method instead of the traditional element-free Galerkin (EFG) method by ...
Heng Cheng, Zebin Xing, Yan Liu
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Natural Convection in a Non-Newtonian Fluid: Effects of Particle Concentration
Fluids, 2019 In this paper we study the buoyancy driven flow of a particulate suspension between two inclined walls. The suspension is modeled as a non-linear fluid, where the (shear) viscosity depends on the concentration (volume fraction of particles) and the shear
Chengcheng Tao +2 more
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The difference scheme for the two-dimensional convection-diffusion problem for large peclet numbers
MATEC Web of Conferences, 2018 The purpose of this work is the development of a difference scheme for the solution of convection-diffusion problem at high Peclet numbers (Pe>2). In accordance with this purpose the following problems were solved: difference scheme for convection is ...
Sukhinov Alexander I. +2 more
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Boundary Value Problems, 2022 Convection-diffusion equation is widely used to describe many engineering and physical problems. The finite element method is one of the most common tools for computing numerical solution. In 2003, Wang et al.
Lanyin Sun, Fangming Su
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