Algorithm for Solving the Cauchy Problem with the Help of Lacunas
We shall construct an algorithm for solving the difference Cauchy problem in a bounded computational subdomain (for definiteness, in the unit ball) so as to use the lacunas of solutions of the wave equation and of its difference analog in the case of three space variables. The number of arithmetical operations in this algorithm required for passing to the next time level is minimal and does not increase with the number of the level. The results contained in this chapter were obtained in .
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