2024

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

2 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

2 weeks ago

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

2 weeks ago

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

On equilibrium in control problems with applications to evolution systems

2 weeks ago

Abstract In this paper we examine a mutual control problem for systems of two abstract evolution equations subject to a…

Spherical Shepard-Bernoulli operator

3 weeks ago

AbstractWe consider the problem of interpolating large sets of scattered data on the sphere using Shepard-Bernoulli operators constructed based on…

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

2 months ago

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

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

3 months ago

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

2024

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

Integral equation with maxima via fibre contraction principle

Stratified equatorial flows in cylindrical coordinates with surface tension

On equilibrium in control problems with applications to evolution systems

Spherical Shepard-Bernoulli operator

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

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

Controlling numerical diffusion in solving advection-dominated transport problems

A Mutual Control Problem for Semilinear Systems via Fixed Point Approach

Localization of energies in Navier–Stokes models with reaction terms