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Iterative schemes for coupled flow and transport in porous media -Convergence and truncation errors

3 weeks ago

Abstract Nonlinearities of coupled flow and transport problems for partially saturated porous media are solved with explicit iterative L-schemes. Their…

Integral equation with maxima via fibre contraction principle

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Abstract The aim of this paper is to emphasize the role of the fibre contraction principle in the study of…

Stratified equatorial flows in cylindrical coordinates with surface tension

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Abstract This paper considers a mathematical model of steady flows of an inviscid and incompressible fluid moving in the azimuthal…

On a generalization of the Gauss formula for numerical integration

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Abstract ? AuthorsTiberiu Popoviciu (Institutul de Calcul) Original title (in Romanian)T. Popoviciu, Asupra unei generalizări a formulei de integrare numerică…

Global random walk for one-dimensional one-phase Stefan-type moving-boundary problems: Simulation results

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Abstract This work presents global random walk approximations of solutions to one-dimensional Stefan-type moving-boundary problems. We are particularly interested in…

Univariate Shepard operators combined with least squares fitting polynomials

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Abstract We obtain new univariate Shepard operators using polynomials that are constructed such that they fit the interpolation data in…

A solvable version of the inverse problem of dynamics

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Abstract The particular version of the inverse problem of dynamics considered here is: given the ‘slope function’ \(\gamma =f_{y}/f_{x}\), representing…

Comment on “Modeling groundwater flow with random hydraulic conductivity using radial basis function partition of unity method” by Shile et al. (2024)

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Abstract The goal of this article is to explain some striking discrepancies between the Monte Carlo inferences for flow in…

Controlling numerical diffusion in solving advection-dominated transport problems

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Abstract Numerical schemes for advection-dominated transport problems are are evaluated in a comparative study. Explicit and implicit finite difference methods…

A Mutual Control Problem for Semilinear Systems via Fixed Point Approach

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Abstract In this paper, we introduce and discuss the concept of a mutual control problem. Our analysis relies on a…

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