Abstract:
New one-parameter families of compact approximations of the first-order derivatives are presented that use inversion procedures for two-point operators. Properties of these families are investigated, and finite difference schemes based on those families for problems with convective terms written in the form of conservation laws are described. Estimates of the accuracy of numerical solutions to benchmark problems are given.
Key words:compact high-order approximations, two-point operators, equations with convective terms, equations for conservation laws.
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