Abstract:
As part of the study of multioperator approximations and schemes using economically invertible two-point operators, 24th-order approximations 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 multioperator schemes in the case of discontinuous solutions are considered.
Key words:multioperators, 24th order approximation, Euler equations, problems with discontinuous solutions.
