Email this article On the use of multioperators in the construction of high-order grid approximations
- Authors: Tolstykh A.I.1,2
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Affiliations:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 56, No 6 (2016)
- Pages: 932-946
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178468
- DOI: https://doi.org/10.1134/S0965542516060221
- ID: 178468
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Abstract
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.
About the authors
A. I. Tolstykh
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”; Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: tol@ccas.ru
Russian Federation, ul. Vavilova 40, Moscow, 119333; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700
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