## Russian Journal of Numerical Analysis and Mathematical Modelling, Volume 1 |

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### Contents

Vector Monte Carlo algorithms | 83 |

On the approximate solution of twodimensional singularly perturbed | 101 |

Fast algorithms for block Toeplitz matrices | 121 |

Copyright | |

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### Common terms and phrases

admissible boundary conditions Akad algorithms for solving applications arbitrary arithmetic operations assume asymptotic block boundary value problems bounded coefficients computational conjugate gradient method constant constructed convergence corresponding defined degeneracy denote derivatives differential equations diffusion equation domain eigenvalues eigenvectors elliptic equations error estimates evaluation FEM schemes fictitious component method Filter preserving finite element method formula function G. I. Marchuk Hence implies inequality integral equation interval inverse inverse matrix iterative methods iterative process Lemma linear algebraic Matem Math mathematical mesh points method for solving Monte Carlo method Moscow Nauk SSSR Nauka Neumann series nodes non-zero norm Novosibirsk obtain Pade approximation pair products parameters piecewise-constant polynomials positive definite preconditioning proof Proposition proved quasipolynomials random respect Russian Section solutions of system space splines stochastic subspace subspace UA symmetric T-type matrix Theorem Toeplitz matrices trajectories triangles variables VNU Science Press Vychisl walk on boundary zero