On the use of multioperators in the construction of high-order grid approximations


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Examples of using the multioperator technique in order to increase the order of accuracy of some linear operators are given. Formulas for numerical differentiation, approximation of diffusion terms, recalculation, filtration, and extrapolation of grid functions are considered. A new family of multioperator approximations for convective terms of equations is presented. Multioperators of 16th and 32nd orders are analyzed as an example.

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A. Tolstykh

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”; Moscow Institute of Physics and Technology (State University)

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Email: tol@ccas.ru
俄罗斯联邦, ul. Vavilova 40, Moscow, 119333; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700

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