Group of Applied Mathematical Analysis

The Applied Mathematical Analysis Group, GAMA, is a group of university researchers specialized in a domain of Mathematical Analysis called Approximation Theory. The aim of this group is the search for approximations to sufficiently general functions (both scalar and vectorial or matrix) by means of others belonging to more accessible functional spaces due to their structural peculiarities and their computational simplicity.

From a basic research point of view we are interested in three aspects: Construction of solutions to these problems, - Implementation of algorithms for the generation of such solutions and - Measurement of the convergence speed of the approximating functions.

In many of the problems mentioned above, the optimal approximations are orthogonal projections of the given function in a vector subspace of which we need to know orthogonal bases, methods of generating them as well as efficient numerical methods for the determination of the Fourier coefficients. In this case, the development of efficient numerical integration methods both on the real line and on the unit circle that improve the traditional Gaussian quadrature methods comes naturally.

Research Seminar on Applied Mathematical Analysis (on-SITE)