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New methods for calculating the commencement
Investigation of the stability of difference
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A. N. Tikhonov Akad algorithm applied approximate solution arbitrary assume asymptotic Banach space Berry REFERENCES boundary conditions boundary value problem bounded calculated characteristic values coefficients conjugate system consider const constant constructed convergence convex convex set coordinates corresponding defined denote difference schemes differential equations discontinuity Dokl domain eigenvalues ensemble error evaluation exists finite follows formula function given graph Hilbert space inequality integral curve integral equations interval Lemma linear mathematical matrix method Monte-Carlo method Moscow Moscow Received Nauk SSSR nodes non-linear norm obtain obvious operator optimal control parameter plane polynomials Proof proved quadrature region respect right-hand side satisfies the conditions sequence set of equations smooth solution of equation solution of problem solving space stability stationary resonance subscript surface symmetric symmetric matrix Theorem theory transformation variables vychisl zero