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On the solution of Cauchy’s problem for quasilinear hyperbolic equations and linear hyperbolic systems by the finite difference method. (Russian. English summary) Zbl 0178.12401

MSC:

65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L40 First-order hyperbolic systems
35L72 Second-order quasilinear hyperbolic equations