## Tikhonov regularization of a perturbed heavy ball system with vanishing damping

AbstractThis paper deals with aa perturbed heavy ball system with vanishing damping that contains a Tikhonov regularization term, in connection…

## Inequalities for Information Potentials and Entropies

AbstractWe consider a probability distribution $$(p_0(x), p_1(x), . . .)$$ depending on a real parameter $$x$$. The associated information potential…

## Accurate spectral collocation solutions to some Bratu’s type boundary value problems

AbstractWe solve by Chebyshev spectral collocation some genuinely nonlinear Liouville-Bratu-Gelfand type, 1D and a 2D boundary value problems. The problems…

## Existence and uniqueness of the solution for an integral equation with supremum

AbstractFollowing the idea of T. Wongyat and W. Sintunavarat, we obtain some existence and uniqueness results for the solution of…

## Announcement: Mihai Nechita has successfully defended his PhD thesis at UCL (London)

We are happy to announce that on Friday, September 25, 2020, our colleague Mihai Nechita has successfully defended his PhD…

## On the Burton method of progressive contractions for Volterra integral equations

AbstractIn the paper [4] the author give a new method to study the existence and uniqueness of a solution on…

## Spectral collocation based on quasi-classical orthogonal polynomials applied to solve a singular BVP from Hydrodynamics

AbstractIt is well established that spectral collocation methods based on classical orthogonal polynomials, in spite of their high order accuracy,…

## Testing Bose-Einstein condensate dark matter models with the SPARC galactic rotation curves data

AbstractThe nature of one of the fundamental components of the Universe, dark matter, is still unknown. One interesting possibility is…

## Iterates of Cheney-Sharma type operators on a triangle with curved side

AbstractWe consider some Cheney-Sharma type operators as well as their product and Boolean sum for a function defined on a…

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

AbstractWe consider the numerical approximation of the ill-posed data assimilation problem for stationary convection–diffusion equations and extend our previous analysis…