ON 24TH-ORDER MULTI-OPERATOR APPROXIMATIONS IN SCHEMES FOR EQUATIONS WITH CONVECTIVE TERMS

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Resumo

As part of the study of multi-operator approximations and schemes using economically reversible two-point operators, approximations of the 24th order of the first derivatives in problems with convective terms are considered. The main attention is paid to the spectral properties characterizing their high accuracy and resolution. To illustrate these properties, examples of solving model problems are given. The possibilities of using such multi-operator schemes in the case of discontinuous solutions are considered.

Sobre autores

A. Tolstykh

Federal Research Center Computer Science and Control, RAS

Email: tol@ccas.ru
Moscow, Russia

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