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

5 years ago

AbstractThe numerical approximation of an inverse problem subject to the convection–diffusion equation when diffusion dominates is studied. We derive Carleman…

Unique continuation for the Helmholtz equation using stabilized finite element methods

5 years ago

AbstractIn this work we consider the computational approximation of a unique continuation problem for the Helmholtz equation using a stabilized finite element…

Avenues for the use of cellular automata in image segmentation

5 years ago

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

5 years ago

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

5 years ago

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

5 years ago

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

5 years ago

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

5 years ago

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

5 years ago

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

5 years ago

AbstractWe investigate an algorithm of gradient type with a backward inertial step in connection with the minimization of a nonconvex…

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