Contents

Doklady Mathematics


Vol. 110, No. 3, 2024


MATHEMATICS

P-Factor Interpolation of Solutions of an Equation with a Degenerate Function

Academician Yu. G. Evtushenko, and A. A. Tret’yakov p. 451  abstract

Three-Dimensional Grid-Characteristic Schemes of High Order of Approximation

Corresponding Member of the RAS I. B. Petrov, V. I. Golubev, A. V. Shevchenko, and A. Sharma p. 457  abstract

Lattice Boltzmann Model for Nonlinear Anisotropic Diffusion with Applications to Image Processing

O. V. Ilyin p. 464  abstract

Intermediate Asymptotics for Solutions to Equations of Emden–Fowler Type

S. A. Stepin, and Corresponding Member of the RAS A. I. Shafarevich p. 469  abstract

Tunnel Clustering Method

F. T. Aleskerov, A. L. Myachin, and V. I. Yakuba p. 474  abstract

An Approach for Constructing Refined Generalized Models of Composite Durability in Extreme Conditions Based on the Modern Kinetic Theory of Strength

E. L. Gusev, and V. N. Bakulin p. 480  abstract

The Countable Spectrum of Weakly o-minimal Theories of Finite Convexity Rank

B. Sh. Kulpeshov p. 486  abstract

Approximate Gyroscope Theory and Its Applications to the Motion of Space Objects

A. G. Petrov p. 497  abstract

On an Approximation by Band-Limited Functions

Yu. A. Kriksin, and Corresponding Member of the RAS V. F. Tishkin p. 500  abstract

Boundary Value Problems for Ordinary Differential Equations with Linear Dependence on the Spectral Parameter

V. S. Kobenko, and Corresponding Member of the RAS A. A. Shkalikov p. 506  abstract


COMPUTER SCIENCE

AI-Based Ethics Index of Russian Banks

M. Storchevoy, P. Parshakov, S. Paklina, A. Buzmakov, and V. Krakovich p. 511  abstract

Ontologies As a Foundation for Formalization of Scientific Information and Extraction of New Knowledge

A. S. Bubnov, N. I. Gallini, I. Yu. Grishin, I. M. Kobozeva, N. V. Loukachevitch, M. B. Panich, E. N. Raevsky, F. A. Sadkovsky, and R. R. Timirgaleeva p. 521  abstract