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In this paper we consider the (2D and 3D) exterior problem for the non homogeneous wave equation, with a Dirichlet boundary condition and non homogeneous initial conditions. First we derive two alternative boundary integral equation formulations to solve the problem. Then we propose a numerical approach for the computation of the extra " volume " integrals(More)
We consider the numerical solution of the wave equation in a two-dimensional domain and start from a boundary integral formulation for its discretization. We employ the convolution quadrature (CQ) for the temporal and a Galerkin boundary element method (BEM) for the spatial discretization. Our main focus is the sparse approximation of the arising sequence(More)
The first part of the book, written by Silvia Bertoluzza and Silvia Falletta, is devoted to new wavelets based approaches in the numerical solution of partial differential equations (PDEs). The notion of a wavelet and its fundamental properties are recalled. One of these properties is good simultaneous space and frequency localization. The norm equivalence(More)
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