## A mixed variational formulation of a contact problem with adhesion

AbstractA mathematical model describing the contact between a viscoplastic body and a deformable foundation is analyzed under small deformation hypotheses.…

## A regularization method for a viscoelastic contact problem

AbstractWe consider a mathematical model which describes the quasistatic contact between a viscoelastic body and a deformable obstacle, the so-called…

## A mixed variational formulation of a contact problem with wear

AbstractWe consider a mathematical model which describes the sliding frictional contact between a viscoplastic body and an obstacle, the so-called…

## Notes on the convex functions of higher order (IX)

Abstract This is the paper where the cardinal splines are conceived for the first time for approximating. AuthorsTiberiu Popoviciu (Institutul…

## On the prolongation of convex functions of higher order

Abstract This is the paper where the B-splines on nonuniform grid are introduced and studied for the first time. The…

## On an Aitken-Steffensen-Newton type method

Abstract We consider an Aitken-Steffensen type method in which the nodes are controlled by Newton and two-step Newton iterations. We…

## A survey on the high convergence orders and computational convergence orders of sequences

AbstractTwenty years after the classical book of Ortega and Rheinboldt was published, five definitions for the (Q)-convergence orders of sequences…

## Spectral collocation solutions to systems of boundary layer type

AbstractThree spectral collocation methods, namely Laguerre collocation (LC), Laguerre Gauss Radau collocation (LGRC) and mapped Chebyshev collocation (ChC) are used…

## All roots spectral methods: Constraints, floating point arithmetic and root exclusion

Abstract The nonlinear two-point boundary value problem (TPBVP for short) $u_{xx}+u^{3}=0,\quad u(0)=u(1)=0,$ offers several insights into spectral methods. First, it…

## On the numerical treatment of the eigenparameter dependent boundary conditions

AbstractIn this paper, we consider the numerical treatment of singular eigenvalue problems supplied with eigenparameter dependent boundary conditions using spectral…