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We consider the Galerkin approach for the numerical solution of retarded boundary integral  			formulations of the three dimensional wave equation in unbounded domains. Recently smooth and  			compactly supported basis functions in time were introduced which allow the use of standard  			quadrature rules in order to compute the entries of the boundary element matrix. In this  			paper, we use TT and QTT tensor approximations to increase the efficiency of these quadrature  			rules. Various numerical experiments show the substantial reduction of the computational  			cost that is needed to obtain accurate approximations for the arising integrals.

Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation