## Russian Journal of Numerical Analysis and Mathematical Modelling, Volume 3 |

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### Contents

Solution of some inverse atmospheric optics problems by the Monte | 77 |

New algorithms for approximate realization of implicit difference | 99 |

Conjugate operators and algorithms of perturbation in nonlinear | 115 |

Copyright | |

24 other sections not shown

### Common terms and phrases

Akad applied approximate arithmetic operations assume belong block eigenvalue boundary conditions boundary value problem calculated Cauchy problem coefficients collision computing conjugate operator consider constructed corresponding defined denote derivatives diagonal difference scheme differential domain domain decomposition method eigenvalue problem eigenvector elementary divisors entries equal equation estimate fictitious components method finite element formula G. I. Marchuk grid implies independent indicatrix inequality integral iterative method Jordan chains Kuznetsov Lemma linear algebraic Math matrix pencils mesh function minimal indices Monte Carlo Monte Carlo method Moscow Nauk SSSR nodes non-singular nonlinear nonzero norm Novosibirsk null space Numerical Methods obtain original pencil orthogonal parameter pencil D(X perturbation polynomial pencil polynomial solutions positive definite proof quantity realization relation Russian satisfy scalar Section singular value decomposition spectral problems spectrally equivalent splines subdomains subspace superelements symmetric Theorem 2.1 Toeplitz Toeplitz matrix transformation valid vector function Vychisl zero