U.S.S.R. Computational Mathematics and Mathematical PhysicsPergamon Press, 1969 - Computers |
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² dk A. N. Tikhonov a₁ assume asymptotic B₁ B₂ boundary conditions boundary value problem bounded C₁ calculations Cauchy problem coefficients consider constant constraints continuous convergence convex convex functions corresponding defined denote derivatives difference schemes discontinuity discrete spectrum domain eigenfunctions eigenvalue ellipsoid error estimate evaluation exists F k² F₁ finite flow follows function f given grad Green's function Hence Hilbert space inequality initial conditions integral equation K₁ L₁ Lemma linear m₁ method Moscow N₁ Nauk necessary condition non-linear norm obtain optimal ordinary differential equations parameters Proof proved quadrature formula respect right-hand side shock wave singular solving space spectrum t₁ Theorem v₁ variable vector velocity vychisl zero αξ Σ Σ дх