Vol. 64, No. 1, 2024

Computational Mathematics and Mathematical Physics

General Numerical Methods

Improving the Accuracy of Exponentially Converging Quadratures

A. A. Belov and V. S. Khokhlachev p. 1 abstract

Order-Optimal Spline Methods for Solving Singular Integro-Differential Equations

N. S. Gabbasov p. 11 abstract

Convergence of Some Difference Schemes of the Support Operator Method for Repeated Rotational Operations

Yu. A. Poveshchenko, A. Yu. Krukovskii, V. O. Podryga and P. I. Rahimly p. 22 abstract

Deriving Known Particular Solutions of the σ-Commutation Problem (σ ≠ 0, ±1) for a Toeplitz and a Hankel Matrix within a Unified Approach

V. N. Chugunov and Kh. D. Ikramov p. 36 abstract

Optimal Control

Convergence of a Numerical Method for Solving the Optimal Control Problem of Panel Forming under Creep Conditions

K. S. Bormotin p. 45 abstract

Multiplicative Control Problem for a Nonlinear Reaction–Diffusion Model

R. V. Brizitskii and A. A. Donchak p. 56 abstract

Ordinary Differential Equations

Projector Approach to the Butuzov–Nefedov Algorithm for Finding Asymptotic Solutions for a Class of Discrete Problems with a Small Step

G. A. Kurina and N. T. Hoai p. 73 abstract

Partial Differential Equations

Simulation of Domain Walls: Simple Waves in the Magnetodynamics Equation

L. A. Kalyakin and E. G. Ekomasov p. 85 abstract

Gaps in the Spectrum of Thin Waveguides with Periodically Locally Deformed Walls

S. A. Nazarov p. 99 abstract

Integral Representations for Second-Order Elliptic Systems in the Plane

A. P. Soldatov p. 118 abstract

Mathematical Physics

Actual Accuracy of Linear Schemes of High-Order Approximation in Gasdynamic Simulations

M. D. Bragin p. 138 abstract

Numerical Analysis of the Blow-Up of One-Dimensional Polymer Fluid Flow with a Front

L. S. Bryndin, B. V. Semisalov, V. A. Beliaev and V. P. Shapeev p. 151 abstract

Sensitivity of the Functionals of the Variational Data Assimilation Problem when Reconstructing the Initial State and Heat Flux for a Model of Sea Thermodynamics