Vol. 62, No. 3, 2022

Computational Mathematics and Mathematical Physics

General Numerical Methods

Lagrange Interpolation and the Newton–Cotes Formulas on a Bakhvalov Mesh in the Presence of a Boundary Layer

A. I. Zadorin and N. A. Zadorin p. 347 abstract

Monotone Schemes of Conditional Approximation and Arbitrary Order of Accuracy for the Transport Equation

P. P. Matus and B. D. Utebaev p. 359 abstract

Optimal Control

Optimal Control Problems for Complex Heat Transfer Equations with Fresnel Matching Conditions

A. Yu. Chebotarev p. 372 abstract

Partial Differential Equations

Smooth Solution of the Second Initial-Boundary Value Problem for a Model Parabolic System in a Semibounded Nonsmooth Domain on the Plane

E. A. Baderko and A. A. Stasenko p. 382 abstract

On Normal Modes of a Waveguide

O. K. Kroytor, M. D. Malykh and L. A. Sevast’yanov p. 393 abstract

Quadrature Formula for a Double Layer Potential in the Case of the Helmholtz Equation

P. A. Krutitskii and I. O. Reznichenko p. 411 abstract

The Avalos–Triggiani Problem for the Linear Oskolkov System and a System of Wave Equations

G. A. Sviridyuk and T. G. Sukacheva p. 427 abstract

Monotone Decomposition of the Cauchy Problem for a Hyperbolic Equation Based on Transport Equations

G. I. Shishkin and L. P. Shishkina p. 432 abstract

Mathematical Physics

Features of Numerical Reconstruction of a Boundary Condition in an Inverse Problem for a Reaction–Diffusion–Advection Equation with Data on the Position of a Reaction Front

R. L. Argun, A. V. Gorbachev, D. V. Lukyanenko and M. A. Shishlenin p. 441 abstract

Cauchy Problem for a New Aggregation–Fragmentation Model in the Case of Equal Reaction Rate Constants

Ya. G. Batishcheva p. 452 abstract

Integral Representation of the Solution to the Nonstationary Lamb Problem in the Case of a Limiting Poisson Ratio

Kh. Kh. Il’yasov, A. V. Kravtsov, Al. V. Kravtsov and S. V. Kuznetsov p. 467 abstract

Semi-implicit and Semidiscrete Difference Schemes for Solving a Nonstationary Kinetic Equation of Thermal Radiative Transfer and Energy Equation

N. Ya. Moiseev and V. M. Shmakov p. 476 abstract

A Version of Closing the System of Moment Equations of an Arbitrary Order

Yu. A. Nikitchenko p. 487 abstract

Information Science

Modeling Flexible Manipulators without Inverting Their Mass Matrices