Contents

Computational Mathematics and Mathematical Physics

Vol. 64, No. 12, 2024

GENERAL NUMERICAL METHODS

Estimation of the Remainder Terms of Certain Horn Hypergeometric Series

S. I. Bezrodnykh, and O. V. Dunin-Barkovskaya p. 2737  abstract

GENERAL NUMERICAL METHODS

Fast Calculation of Integral Convolution Operators in Problems of Evaluating Options in Lévy’s Models

A. S. Grechko, and O. E. Kudryavtsev p. 2751  abstract

A Nonsingular Matrix with a Well-Conditioned Cosquare: How to Bring IT to Diagonal Form by a Congruence Transformation

Kh. D. Ikramov, and A. M. Nazari p. 2770  abstract

GENERAL NUMERICAL METHODS

A Posteriori Error Estimates of Approximate Solutions to Elliptic Boundary Value Problems in Terms of Local Norms and Cost Functionals

A. V. Muzalevskii, S. I. Repin, and M. E. Frolov p. 2780  abstract

Generalizations of the Stage Order of Runge–Kutta Methods

L. M. Skvortsov p. 2796  abstract

GENERAL NUMERICAL METHODS

Quadrature Formulas for Singular Integrals Containing the Values of a Function and Its Derivatives

Sh. S. Khubezhty, and L. Yu. Plieva p. 2813  abstract

OPTIMAL CONTROL

Perturbation Method and Regularization of the Lagrange Principle in Nonlinear Constrained Optimization Problems

M. I. Sumin p. 2823  abstract

ORDINARY DIFFERENTIAL EQUATIONS

On the Minimality of Squared Error of Solutions to Systems of Equations Transformed to the Best Parameter under Small Homogeneous Perturbations

E. B. Kuznetsov, and S. S. Leonov p. 2845  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Averaging Method in the Problem of Constructing Self-Oscillatory Solutions of Distributed Kinetic Systems

E. P. Kubyshkin p. 2868  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Small Parameter Method in the Theory of Burgers-Type Equations

V. I. Kachalov, and D. A. Maslov p. 2886  abstract

On the Uniqueness of the Finite-Difference Analogues of the Fundamental Solution of the Heat Equation and the Wave Equation in Discrete Potential Theory

I. E. Stepanova, I. I. Kolotov, A. V. Shchepetilov, A. G. Yagola, and A. N. Levashov p. 2893  abstract

MATHEMATICAL PHYSICS

Development of the Method of Adaptive Artificial Viscosity for Fluid Dynamics Computations on Nonuniform Difference Grids

A. Yu. Krukovskii, I. V. Popov, and V. A. Gasilov p. 2905  abstract

Modeling of Nonlinear Wave Processes in a Microwave Generator with Magnetic Insulation

S. V. Polyakov, N. I. Tarasov, and T. A. Kudryashova p. 2916  abstract

MATHEMATICAL PHYSICS

A Super-Fast Algorithm for Solving the Direct Scattering Problem for the Manakov System

L. L. Frumin, A. E. Chernyavsky, and O. V. Belai p. 2925  abstract

An exact Analysis of Melting Phenomena Based on Non-Classical Heat Equation with Moving Boundary Problem: Application of Melting-Freezing

Jitendra, K. N. Rai, and Jitendra Singh p. 2934  abstract

INFORMATION SCIENCE

Ramsey’s Conjecture of Social Stratification as Fisher’s Selection Principle

G. S. Parastaev, and A. A. Shananin p. 2952  abstract