General Information

My research interests are related with Dynamical Systems and Computational Mathematics. I am a member of Centro de Matemática e Aplicações, at FCT/UNL, where I am finishing my PhD studies (Dynamics of Coupled Oscillators, already delivered, waiting for the final climax). The following are some of my works.

1. Dimensão pontual e decomposições ergódicas, Thesis advisor: Luís Barreira, (2005)
2. Introdução à Álgebra Linear e Geometria Analítica, Spring 2004. Not reviewed or updated ever since.
3. Linear Algebra: Geometrical, Numerical and Analytical Aspects, in progress.
4. Computing Euler's Constant: A historical Overview of Algorithms and Results, in progress.

One of my top research interests is to translate into computational algorithms the most powerful mathematical ideas. The following is a list of GNU software that I have created.

1. A package to draw conics in METAPOST: conics.tar.gz
2. Some C utilities for analytic geometry: lautils.tar.gz
3. Runge-Kutta algorithm in C, for pedagogical purposes: rungekutta.c
4. I have just started to write NUMDE, a general purpose library written in C/C++, to solve problems related with Differential Equations.

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