## U.S.S.R. Computational Mathematics and Mathematical Physics, Volume 8 |

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accuracy Akad algorithm applied arbitrary assume asymptotic boundary conditions boundary layer boundary value problem bounded calculation characteristic coefficients column consider const constant continuous continuous function convergence convex coordinates corresponding curvilinear coordinates defined denote density derivatives difference schemes differential equations eigenvalues elements error estimate Euler's equation evaluation exists expression finite fixed flow formula function f given graph Hence inequality initial integral iteration Lemma linear magneto-hydrodynamic matrix maximum principle method of characteristics Monte-Carlo method Moscow Newton's method nodes norm notation obtain obvious operator optimal control parameters perturbation plane polynomials Proof proved quadrature quantities ravine region relations respect right-hand side root satisfied scalar product Section sequence set of equations solution of problem solving space surface symmetry Theorem trajectory unique variables variation vector viscosity vychisl wave zero