## Union of Soviet Socialist Republics Computational Mathematics and Mathematical Physics, Volume 9 |

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### Contents

Natural norms for estimating the solution of a finite | 1 |

The convergence rate of the method of successive over relaxation | 15 |

Solution of quadratic functional minimization prob | 27 |

Copyright | |

30 other sections not shown

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### Common terms and phrases

Akad approximate solution associated functions assume asymptotic boundary conditions boundary value problem bounded calculations Cauchy problem coefficients compactum completely continuous consider constant constraints convergence convex convex functions coordinates correlation matrix corresponding defined denote derivatives difference schemes discontinuity discrete spectrum domain eigenfunction eigenvalues ellipsoid equal error estimate evaluation exists finite flow follows given Green's function Hence Hilbert space inequality initial conditions initial data integral equation interval Jacobi matrix Lemma linear minimum modulus of continuity necessary condition neighbourhood network functions node non-linear norm notation obtain obviously operator equations operator H ordinary differential equations parameters problem 3.1 Proof proved quadrature formula radius respect right-hand side root rounding-off satisfy the conditions Section sequence shock wave singular solution of problem solving subspace sufficient condition sufficiently small variable variations vector velocity vychisl zero