The mathematical modelling of
physical problems often
leads to differential or integral equations whose coefficients have
singularities. The numerical treatment
of such models requires:
a)
the correct formulation of problems and the
analysis of qualitative behavior of solutions;
b) the use of efficient numerical
algorithms
which take into account the singularities of the problems.
The main objective
of the present workshop
is to bring together mathematicians who deal with problems of this kind
in
different fields. The workshop will focus on the asymptotic properties
of the
solutions of equations and discretization methods.
The themes that will be
discussed include: mathematical
modelling of physical phenomena involving
singularities; numerical solution of
singular boundary value problems for ordinary differential equations;
numerical
integration of functions with
singularities; computational methods for integral
equations with singular kernels.
 Applications in Finance, Insurance,
Biomedicine, Engineering, are particularly welcome, both deterministic
and
stochastic.
