Contents

Computational Mathematics and Mathematical Physics

Vol. 64, No. 10, 2024

GENERAL NUMERICAL METHODS

Convergence Analysis of a DDFD Method for Flow Problems in Homogeneous Porous Media

Aubin Kinfack Jeutsa, and Daniel Lacpa p. 2151  abstract

GENERAL NUMERICAL METHODS

Testing of Quadrature Formulas for the Direct Value of the Normal Derivative of a Single-Layer Potential at the Boundary of a Thin Body

P. A. Krutitskii, and I. O. Reznichenko p. 2167  abstract

Solving Some Inverse Problems of Gravimetry and Magnetometry Using an Algorithm That Improves Matrix Conditioning

A. S. Leonov, D. V. Lukyanenko, and A. G. Yagola p. 2178  abstract

Justification of a Galerkin Method for a Fractional Order Cauchy Singular Integro-Differential Equation

A. I. Fedotov p. 2194  abstract

GENERAL NUMERICAL METHODS

Richardson’s Third-Order Difference Scheme for the Cauchy Problem in the Case of Transport Equation

G. I. Shishkin, and L. P. Shishkina p. 2212  abstract

OPTIMAL CONTROL

Solution of the Terminal Control Problem for a Nonlinear Stationary System in a Bounded Domain

A. N. Kvitko p. 2222  abstract

OPTIMAL CONTROL

Global Optimum Search in the Network Design Problem

A. Yu. Krylatov p. 2238  abstract

Necessary Optimality Conditions of the First and Second Order in a Single-Step Control Problem Described by a Difference Equation and a Volterra-Type Integro-Differential Equation

K. B. Mansimov, and A. V. Kerimova p. 2256  abstract

Inverse Problem for Quasi-Stationary Complex Heat Transfer Equations with Fresnel Matching Conditions

A. Yu. Chebotarev p. 2269  abstract

ORDINARY DIFFERENTIAL EQUATIONS

Controller Design in a Natural Basis of a Linear System

L. T. Ashchepkov p. 2279  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Asymptotic Analysis of Eigenvalues for Concentrated Masses Approaching One Another

S. A. Nazarov p. 2285  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Local Solvability and Blow-Up of Classical Solution to Some Initial-Boundary Value Problem for a Nonlinear Equation Governing Ion-Acoustic Waves in a Plasma

E. A. Ovsyannikov p. 2305  abstract

Algorithm to Obtain Inverse Potentials for α–α Scattering Using Variable Phase Approach

Anil Khachi, Shikha Awasthi, Lalit Kumar, and O. S. K. S. Sastri p. 2320  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Lavrent’ev-Type Equations and Systems in the Inverse Problem of Reconstructing Viscoelastic Medium Memory

M. Yu. Kokurin p. 2333  abstract

MATHEMATICAL PHYSICS

On a Nonstandard Perturbation Method for Proving the Existence of Nonlinearizable Solutions in a Nonlinear Eigenvalue Problem Arising in Waveguide Theory

D. V. Valovik, A. A. Dyundyaeva, and S. V. Tikhov p. 2351  abstract

MATHEMATICAL PHYSICS

An Implementation of Improved Delayed Detached Eddy Simulation Discretized with Discontinuous Galerkin Method: Application to the Vortex System Simulation of a Highly-Loaded Turbine Cascade

Jialin Li, M. Ja. Ivanov, and Guanghua Zheng p. 2368  abstract

MATHEMATICAL PHYSICS

Verification of a Numerical Algorithm Based on Quasi-Hydrodynamic Equations as Applied to Thermal Convection Problems

M. A. Kiryushina, T. G. Elizarova, and A. S. Epikhin p. 2388  abstract

Convective Cahn–Hilliard–Oono Equation

A. N. Kulikov, and D. A. Kulikov p. 2399  abstract

Calculation of Radiated Sound from Finite Rectangular Thin Plate Excited by Plane Wave

Li Ya, and Zhang Nan p. 2417  abstract

The Internal Layer of Boundary Value Problem for a Class of System of Singularly Perturbed Equations with Discontinuous Right-Hand Side

Ruixiang Li, and Mingkang Ni p. 2429  abstract

MATHEMATICAL PHYSICS

A Method of Boundary Equations for Nonlinear Poisson–Boltzmann Equation Arising in Biomolecular Systems

M. Tavakoli Tameh, and F. Shakeri p. 2442  abstract

MATHEMATICAL PHYSICS

Numerical Simulation of Two-Phase Porous Medium Flow with an Active Additive

T. S. Sharifullina, A. A. Cherevko, and V. V. Ostapenko p. 2462  abstract