Contents
Computational Mathematics and Mathematical Physics

Vol. 48, No. 9, 2008

Simultaneous English language translation of the journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Computational Mathematics and Mathematical Physics ISSN 0965-5425.

On the 90th Anniversary of the Birthday of Academician Nikita Nikolaevich Moiseev

M. K. Kerimov p. 1447

Overview of Some New Results Concerning the Theory and Applications of the Rayleigh Special Function

M. K. Kerimov p. 1454  abstract

Discrete Stochastic Consistent Estimators of the Monte Carlo Method

S. V. Busygin, A. V. Voytishek, E. G. Kablukova, and A. I. Efremov p. 1508  abstract

Average Behavior of Greedy Algorithms for the Minimization Knapsack Problem:
General Coefficient Distributions

G. N. Diubin and A. A. Korbut p. 1521  abstract

Iterative Proximal Regularization of the Modified Lagrangian Functional
for Solving the Quasi-Variational Signorini Inequality

E. M. Vikhtenko and R. V. Namm p. 1536  abstract

Automatic Step Size and Order Control in Implicit One-Step Extrapolation Methods

G. Yu. Kulikov and E. Yu. Khrustaleva p. 1545  abstract

Asymptotic Behavior of Solutions to Multiplicative Control Problems for Elliptic Equations

R. V. Brizitskii and A. S. Savenkova p. 1570  abstract

Boundary Value Problems for Certain Classes of Loaded Differential
Equations and Solving Them by Finite Difference Methods

A. A. Alikhanov, A. M. Berezgov, and M. X. Shkhanukov-Lafishev p. 1581  abstract

Sufficient Close-to-Necessary Conditions for the Blowup of Solutions
to a Strongly Nonlinear Generalized Boussinesq Equation

M. O. Korpusov and A. G. Sveshnikov p. 1591  abstract

Some Aspects of Grid Generation

I. A. Vaseva, V. D. Liseikin, Yu. V. Likhanova, and Yu. N. Morokov p. 1600  abstract

Three-Dimensional Generalization for W Modification of a Godunov Method

E. I. Vasil’ev and A. S. Demin p. 1620  abstract

Refined-Mesh Interpolation Method for Functions with a Boundary-Layer Component

A. I. Zadorin p. 1634  abstract

Finding Nonoscillatory Solutions to Difference Schemes for the Advection Equation

S. L. Kivva p. 1646  abstract

Soliton Solutions to Generalized Discrete Korteweg–de Vries Equations

S. P. Popov p. 1658  abstract

Effect of Vertical Vibrations on a Two-Layer System with a Deformable Interface

S. M. Zen’kovskaya and V. A. Novosyadlyi p. 1669  abstract

Implementation of a Method for Constructing a Recognition Algorithm
in Algebra over an Estimate Calculation Set

M. Yu. Romanov p. 1680  abstract

Strong Regularity of a Family of Face-to-Face Partitions Generated
by the Longest-Edge Bisection Algorithm

S. Korotov , M. Kek, and A. Kropá p. 1687  abstract

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