Abstract:
Main results of the development of the multioperator method for constructing approximations of prescribed order are presented. Multioperators for various approximation problems are considered. The focus is on the multioperators for convective terms in fluid dynamics equations. Types of multioperator schemes are described and possibilities for their optimization are discussed. Results of solving benchmark problems in the case of tenth- and 18th-order schemes are presented.
Key words:compact approximations, multioperators of arbitrarily high order, equations with convective terms, multioperator schemes, formulas of improved accuracy.
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