IMATI, Institute
of Applied Mathematics and Information Technology,
was founded in September 2000 but it did not start
its research activities until March 2002. The current
structure of the Institute is a result of the merging of three
existing Institutes, which had already a solid reputation, at
the international level, within the field of Mathematics and
its Applications, namely:
IAMI (Institute for the Application
of Mathematics and Computer Sciences)
in Milan,
IAN (Institute of Numerical
Analysis)
in Pavia, and
IMA (Institute of Applied Mathematics)
in Genoa.
The Institute itself has three divisions (Milan, Pavia and
Genoa) with its main offices in Pavia. The merging
of the former Institutes into a single one has enabled
IMATI to carry out research activities in numerous
fields of Mathematics, Information Technology and their applications:
- Mathematical Statistics and Probability,
with research programs focusing on the development
and study of methodologies and models for the description
of random phenomena, both in parametric and non-parametric
frameworks, with applications to pray-predator stochastic
models, to decision problems, image analysis, reliability
data analysis, seismic data analysis. This field is mainly
studied in Milan.
- Graphic Information Technology
and Geometric Modeling, with research programs concerned with
the development of methods of shape analysis and synthesis applied
to CAD, to GIS systems and to virtual reality techniques, as well
as methods for curve and surface reconstruction. This field is
mainly studied in Genoa, and there are active researchers in Milan
as well.
- Computing Architectures and High
Performance Computing, with research programs
aiming to develop methodologies, algorithms, models
and tools for an efficient and effective use of innovative
computing architectures. This field is mainly developed
in Genoa and in Pavia.
- Information Technologies, with
research work concerned with training programs,
teaching of scientific subjects, and the development
of procedures and programming languages that allow mathematical
and scientific documentation to be dealt with via the Internet.
Other researches deal with the study of models and algorithms
for the treatment of evolved data bases and problems of word
combinatorics. Researchers from Genoa, Milan and Pavia are involved
in this field.
- Modeling of Biomedical Phenomena,
with research programs concerning the development
and study of methods for problems arising in electro-cardiology
as well as problems of identification of biological
and physical systems. The modeling approach based on the
coupling of qualitative analysis techniques with fuzzy
logic techniques is particularly interesting in this field.
Researchers from Pavia are mainly involved in this area.
- Differential Modeling, considered
from different points of view: theoretical (existence,
uniqueness and regularity of the solutions), numerical
(approximation schemes, stability and adaptability)
and computational (algorithms and computing methodologies).
The results of these basic research programs are widely used
to deal with applied problems coming, for instance, from
fluid dynamics, electromagnetism, semiconductor devices simulation,
elasticity, and material properties. This field is mainly
studied in Pavia, and there are active researchers in Genoa and
Milan as well.
Within IMATI, the
variety of strengths of the three original components
opens the way to several very innovative perspectives
both for basic research activities as well as for applications.
Actually the expertises of the new Institute vary from theoretical
and computational modeling to informatics, and from probability
and statistics to teaching and training activities. The
synergetic merging of these abilities allows IMATI to deal in
a better way with the changing needs of applied research and,
at the same time, to increase its contribution in the field
of basic methodologies.
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