Resumen de Boundary integral equations for the heat equation
Víctor Domínguez Báguena, Francisco Javier Sayas González 
This work deals with the solution of the Dirichlet problem for the heat equation in the exterior of a domain with smooth boundary in the plane using Bound- ary Integral Methods. We prove that in some particular cases the error committed when solving the corresponding integral equations by a particular Galerkin scheme (spectral in space, piecewise constant in time) admits an error expansion in terms of the time discretization parameter. In addition, a pointwise superconvergence resultis proven at particular instants of time. Finally some numerical experiments are shown corroborating the theory.
