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On a method for the approximation of nondivergent equations of hyperbolic type. (Russian. English summary) Zbl 0559.65071

Difference schemes for the solution of systems of hyperbolic type equations written in nondivergent form are suggested and studied. The investigation of difference algorithms is carried out in terms of the problems of one-dimensional gas dynamics. Estimations describing the exactness of the difference methods and iterative processes for their realization are obtained.

MSC:

65N06 Finite difference methods for boundary value problems involving PDEs
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
35L50 Initial-boundary value problems for first-order hyperbolic systems
65N15 Error bounds for boundary value problems involving PDEs
76N15 Gas dynamics (general theory)
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