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…
Numerical Analysis
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…
Steffensen type methods for approximating solutions of differential equations
AbstractThe implicit methods for numerical solving of ODEs lead to nonlinear equations which are usually solved by the Newton method.…
A history-dependent contact problem with unilateral constraint
AbstractWe consider a mathematical model which describes the quasistatic contact between a viscoplastic body and a foundation. The contact is…
A class of numerical methods for autonomous initial value problems
AbstractIn this paper we introduce a class of explicit numerical methods for approximating the solutions of scalar initial value problems…
A numerical method for the solution of an autonomous initial value problem
AbstractUsing a known interpolation formula we introduce a class of numerical methods for approximating the solutions of scalar initial value…
An elastic contact problem with normal compliance and memory term
AbstractWe consider a history-dependent problem which describes the contact between an elastic body and an obstacle, the so-called foundation. The…
A penalized viscoplastic contact problem with unilateral constraints
AbstractIn this paper we study a mathematical model which describes the quasistatic contact between a viscoplastic body and a foundation.…
Convergence results for contact problems with memory term
AbstractIn this paper, we consider two quasistatic contact problems. The material’s behavior is modelled with an elastic constitutive law for…