Abstract
An efficient technique for solving non-stationary spatial problems of wave dynamics, based on an explicit difference scheme of the predictorcorrector type, is proposed. Using a specially selected matching smoothing operator, the scheme acquires the property of monotonicity. The solution of a spatial dynamic problem involving the recoil of a metal cube from an absolutely hard surface is presented as an example. The effect of the plastic properties of the material of the cube on the wave formation, fracture and recoil processes is investigated.
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