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UC3M Research Report
The group is called Group of Applied Mathematical Analysis.
This group was established almost ten years ago
to gather the knowledge
we had been acquiring for quite some time.
The group is currently formed by roughly twenty researchers.
About fifteen of them are professors of the department
and the other five – seven are PhD students.
The group’s main research fields
are the Approximation Theory and orthogonal polynomials.
These are instruments used for the approximation
of complex functions with more simple functions,
which from an algorithmic point of view
are easier to generate.
Within these functions,
those with special properties,
such as orthogonal polynomials,
are even more useful.
This theory,
as approximation method of functions that come up in life,
either in physics, biology or chemistry;
even in any engineering field when a problem is modelled
there are functions that need approximation.
The methods we provide are precisely
for the approximation of those functions.
They represent solutions
to certain problems of daily life.
Our team collaborates with many international groups,
with Russian mathematicians, French mathematicians,
American, Belgian, Hungarian...
So our international collaborations
are indeed noteworthy.
Our collaboration in research projects
is illustrated in articles published by specialised journals.
For example, last year concluded a national project
in which the group worked and, if I remember correctly,
the total number of articles published
for that project, and in a three year interval,
was eighty,
and in prominent journals.
Research in Mathematics is,
in a way, solitary but at the same time collaborative.
The activity in the libraries,
the search for articles related to our areas of interest
plays a fundamental role;
but also the relationship with other researchers,
the scientific debates on our areas of interest.
That is why we carry out seminars
where we present our partial results
and we submit them for debate and for our colleagues’ valuation.
For example, in this classroom where we gather,
we carry out a weekly research seminar,
every Thursday at 4 p.m.,
and we invite everyone who is interested to join us.