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…
Numerical Analysis
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…
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…