Results 91 to 100 of about 101,709 (214)
Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
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Numerical Model Reduction of Multi‐Scale Electrochemical Ion Transport
International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.ABSTRACT In this paper, we develop a Numerical Model Reduction (NMR) framework for multi‐scale modeling of electro‐chemically coupled ion transport. Upon introducing the governing equations and employing Variationally Consistent Homogenization, a two‐scale model, consisting of a macro‐scale and a sub‐scale part, is obtained.
Vinh Tu +3 more
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Comparison between variational iteration method and Gegenbauer–Galerkin method for solving two dimensional nonlinear Volterra integral equations of the second kind [PDF]
AIP AdvancesThis paper intends to introduce two numerical techniques—the variational iteration method and the Gegenbauer–Galerkin method—for obtaining solutions to two dimensional nonlinear Volterra integral equations of the second kind.
M. H. Ahmed
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.ABSTRACT In this article, we propose a novel numerical framework for the non‐isothermal Cahn–Hilliard–Navier–Stokes two‐phase flow system, which couples the incompressible Navier–Stokes equations, the Cahn–Hilliard phase‐field equation, and the heat transport equation to capture temperature‐dependent two‐phase flow dynamics.
Guang‐An Zou +4 more
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POD-Galerkin reduced-order modeling of the El Niño-Southern Oscillation (ENSO)
Applied Ocean ResearchReduced-order modeling (ROM) aims to mitigate computational complexity by reducing the size of a high-dimensional state space. In this study, we demonstrate the efficiency, accuracy, and stability of proper orthogonal decomposition (POD)-Galerkin ROM ...
Yusuf Aydogdu +1 more
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Characteristics Weak Galerkin Finite Element Methods for Convection-Dominated Diffusion Problems
Abstract and Applied Analysis, 2014 The weak Galerkin finite element method is combined with the method of characteristics to treat the convection-diffusion problems on the triangular mesh.
Ailing Zhu, Qiang Xu, Ziwen Jiang
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Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. The numerical method for solving hypersingular integral equations on a segment that arise in many problems of mathematical physics is considered. Materials and methods.
Yu.G. Smirnov
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, 2003 In connection to wavelet theory, we describe the peripheral spectrum of the transfer operator. The solution involves the analysis of certain representations of the algebra generated by two unitaries $U$ and $T$ that satisfy the commutation relation $UTU^{-1}=T^N$.
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. The purpose of the work is to develop and implement the parallel algorithm for numerical solving the problem of electromagnetic wave diffraction by non-planar perfectly conducting screens. Materials and methods. Vector integro-differential
A. A. Tsupak
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, 2021 In this study, we showed Banach space operator in the implementation of equations Galerkin approximate solution method. In here we gave some notions and definitions. Especially, we showed the convergence of Galerkin's approximations implementation of the Galerkin series.
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