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- W2038430174 abstract "THIS paper deals with the construction and investigation of difference schemes with a decomposed operator [1–3] for sets of partial differential equations of mixed type [4]. A particular case of these is the set of hydrodynamic equations for the simultaneous propagation of sound and heat in a flow of compressed fluid, which has been studied in the one-dimensional case in [5–7]. In the present paper we consider difference schemes with a decomposed operator which approximate the original differential problem with error O (τ + ¦h¦ 2 ) . An a priori evaluation is derived from the solutions of these schemes, from which the stability and convergence of the solution of the difference problem to the solution of the differential problem with error O (τ + ¦h¦ 2 ) follow. A similar a priori evaluation can be obtained for the differential problem. An illustration of the application of these schemes for the above set of hydrodynamic equations is given in the three-dimensional case." @default.
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- W2038430174 title "Difference schemes with a decomposed operator for sets of differential equations of mixed type" @default.
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- W2038430174 doi "https://doi.org/10.1016/0041-5553(69)90041-x" @default.
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