An algorithm to solve equality constrained optimization problems based on stabilized sequential quadratic programming, augmented Lagrangian and inexact restoration methods is presented. This… (More)

In this paper we present a method for estimating unknown parameters that appear on an avascular, spheric tumour growth model. The model for the tumour is based on nutrient driven growth of a… (More)

Westudied a one-dimensional free boundary problemarising in the polymer industry, which solution has an interesting asymptotic behavior when a convective boundary condition is imposed. We show the… (More)

Data assimilation is the process of feeding a partially unknown prediction model with available information from observations, with the objective of correcting and improving the modeled results. One… (More)

Bilevel programming problems are a class of optimization problems with hierarchical structure where one of the constraints is also an optimization problem. Inexact restoration methods were introduced… (More)

In this work, we develop a method of straight lines for solving a Bingham problem that models the flow of waxy crude oils. The model describes the flow of mineral oils with a high content of paraffin… (More)