## Natural convection from a vertical plate embedded in a non-Darcy bidisperse porous medium

Abstract This paper studies the steady, free convection boundary layer flow about a vertical, isothermal plate embedded in a non-Darcy…

## A stabilized finite element method for inverse problems subject to the convection-diffusion equation. I: diffusion-dominated regime

AbstractThe numerical approximation of an inverse problem subject to the convection–diffusion equation when diffusion dominates is studied. We derive Carleman…

## Unique continuation for the Helmholtz equation using stabilized finite element methods

AbstractIn this work we consider the computational approximation of a unique continuation problem for the Helmholtz equation using a stabilized finite element…

## Accurate Chebyshev collocation solutions for the biharmonic eigenproblem on a rectangle

AbstractWe are concerned with accurate Chebyshev collocation (ChC) solutions to fourth order eigenvalue problems. We consider the 1D case as…

## Invariant sets and attractors for Hanusse-type chemical systems with diffusions

AbstractWe are concerned with Hanusse-type chemical models with diffusions. We show that some bounded invariant sets ⊂R^{N} found for the…

## An extension of the second order dynamical system that models Nesterov’s convex gradient method

Abstract In this paper we deal with a general second order continuous dynamical system associated to a convex minimization problem…

## New optimization algorithms for neural network training using operator splitting techniques

AbstractWe present a new type of optimization algorithms, adapted for neural network training. These algorithms are based upon sequential operator…

## A gradient-type algorithm with backward inertial steps associated to a nonconvex minimization problem

AbstractWe investigate an algorithm of gradient type with a backward inertial step in connection with the minimization of a nonconvex…

## Conjugate heat transfer of a nanofluid in a vertical channel adjacent to a heat generating solid domain

AbstractThe effect of thermal dispersion in the conjugate steady free convection flow of a nanofluid in a vertical channel is…

## Mixed convection in a vertical channel subject to Robin boundary condition

AbstractThe steady mixed convection flow in a vertical channel is investigated for laminar and fully developed flow regime. In the…