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


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Аннотация

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.

Авторлар туралы

A. Tolstykh

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

Хат алмасуға жауапты Автор.
Email: tol@ccas.ru
Ресей, ul. Vavilova 40, Moscow, 119333; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700

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