Abstract:
Sharp estimates (in the power scale) are obtained for the discretization error in the solutions to Poisson's equation whose right-hand side belongs to a Korobov class. Compared to the well-known Korobov estimate, the order is almost doubled and has an ultimate value in the power scale.
Key words:discretization of Poisson's equation, estimates of the discretization error sharp in the power scale, number-theoretic methods.
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