Abstract
We analyze a St0rmer-Numerov-type scheme and a class of 'single-step' schemes for the temporal approximation of the solution of the equations of plane elastodynamics with absorbing boundary conditions of first order. These methods are fourth-order accurate with respect to the time discretization parameter. Lr, optimal-order error estimates are proved for full discretizations of the problem when Galerkin methods are used to approximate the solution in the spatial variables.
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