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Discretization of the solutions to Poisson’s equation
Authors:E A Bailov  N Temirgaliev
Institution:(1) Eurasian National University, ul. Munaitpasova 5, Astana, 473021, Kazakhstan
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.
Keywords:discretization of Poisson’  s equation  estimates of the discretization error sharp in the power scale  number-theoretic methods
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