Subject and Purposes

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.