Contents

Computational Mathematics and Mathematical Physics


Vol. 62, No. 9, 2022


General Numerical Methods

On the Number of Solutions to Linear Diophantine Equation and Frobenius Problem

E. N. Gordeev and V. K. Leont’ev p. 1413  abstract

Application of Mosaic-Skeleton Approximations of Matrices in the Physical Optics Method for Electromagnetic Scattering Problems

A. V. Setukha, S. L. Stavtsev and R. M. Tret’yakova p. 1424  abstract


Optimal Control

Optimal Control of Investment in a Collective Pension Insurance Model: Study of Singular Nonlinear Problems for Integro-Differential Equations

T. A. Belkina, N. B. Konyukhova and S. V. Kurochkin p. 1438  abstract


Partial Differential Equations

Three-Dimensional Stationary Spherically Symmetric Stellar Dynamic Models Depending on the Local Energy

J. Batt, E. Jörn and A. L. Skubachevskii p. 1455  abstract

Method of Continual Addition Theorems and Integral Relations between the Coulomb Functions and the Appell Function F1

I. A. Shilin and J. Choi p. 1486  abstract


Mathematical Physics

Testing Bicompact Schemes for the One-Dimensional Maxwell Equations in Stratified Media

A. A. Belov and Zh. O. Dombrovskaya p. 1496  abstract

Mass Flux and Gas Pressure Distribution in a Long Concentric Annular Channel in the Case of Incomplete Accommodation of Gas Molecules

O. V. Germider and V. N. Popov p. 1515  abstract

A Fictitious Time Lie-Group Integrator for the Brinkman–Forchheimer Momentum Equation Modeling Flow of Fully Developed Forced Convection

M. Hajiketabi and S. Abbasbandy p. 1527  abstract


Informatics

Regular Approximations of the Fastest Motion of Mobile Robot under Bounded State Variables

A. N. Daryina, A. I. Diveev, D. Yu. Karamzin, F. L. Pereira, E. A. Sofronova and R. A. Chertovskikh p. 1539  abstract