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…
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Avenues for the use of cellular automata in image segmentation
AbstractThe majority of Cellular Automata (CA) described in the literature are binary or three-state. While several abstractions are possible to…
Interval-state cellular automata and their applications to image segmentation
AbstractWe present a new type of optimization algorithms, adapted for neural network training. These algorithms are based upon sequential operator…
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…
Breast cancer diagnosis by surface-enhanced Raman scattering (SERS) of urine
AbstractBackground: There is an ongoing research for breast cancer diagnostic tools that are cheaper, more accurate and more convenient than…
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…
Properties of the solutions of a system of differential equations with maxima, via weakly picard operator theory
AbstractIn this paper we present some properties of the solutions of a system of differential equation with maxima. Existence, uniqueness, inequalities…