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This article is cited in 4 scientific papers (total in 4 papers)
On the use of multioperators in the construction of high-order grid approximations
A. I. Tolstykh Federal Research Center "Computer Science and Control" of Russian Academy of Sciences
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.
Key words:
multioperators, high-order grid approximations, numerical differentiation formulas, extrapolation.
Received: 21.09.2015
Citation:
A. I. Tolstykh, “On the use of multioperators in the construction of high-order grid approximations”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016), 943–957; Comput. Math. Math. Phys., 56:6 (2016), 932–946
Linking options:
https://www.mathnet.ru/eng/zvmmf10419 https://www.mathnet.ru/eng/zvmmf/v56/i6/p943
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Abstract page: | 235 | Full-text PDF : | 64 | References: | 45 | First page: | 14 |
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