## Union of Soviet Socialist Republics Computational Mathematics and Mathematical Physics, Volume 10 |

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21 pages matching **approximate solution** in this book

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### Contents

Number | 1 |

Optimal regularization of operator equations | 10 |

Conditions for a saddlepoint to exist in determinate integrodifferential | 17 |

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2m+l accuracy Akad algorithm approximate solution arbitrary associative calculus assume asymptotic expansions auxiliary problem boundary layer bounded calculations Chebyshev coefficients components consider constraints continuous contour convergence convex coordinates corresponding defined denote determine differential equations elements equivalent exists finite fixed point floating point formula function g(x functions f given graph graph-scheme graph-scheme VT Hence hyperplanes inequality inf F(x inf inf sup initial initial vector integral Lagrange form Lemma linear linearly independent matrix maximum principle method minimal minimum Moscow necessary conditions neighbourhood nodes non-zero norm obtain obvious operator optimal control ordinary differential equations orthogonal parameter polynomial Proof proved region respect roots saddle-point satisfied scheme segment sequence solution of problem solving space stationary point steepest descent sup inf inf Theorem unique values variables vector vychisl word zero