Vol. 62, No. 1, 2022

Computational Mathematics and Mathematical Physics

General Numerical Methods

Simulation of Dynamic Processes in Long Josephson Junctions. The Problem on Calculating the Current–Voltage Characteristics. Numerical Method for Estimating the Round-Off Error Growth Rate

M. I. Zuev and S. I. Serdyukova p. 1 abstract

Optimal Control

Stable Solution of a Quadratic Minimization Problem with a Nonuniformly Perturbed Operator by Applying a Regularized Gradient Method

L. A. Artemyeva, A. A. Dryazhenkov and M. M. Potapov p. 10 abstract

Asymptotic Method for Solving a Singularly Perturbed Linear-Quadratic Optimal Control Problem with a Moving Right End of Trajectories

A. I. Kalinin and L. I. Lavrinovich p. 20 abstract

Analysis of an Optimization Method for Solving the Problem of Complex Heat Transfer with Cauchy Boundary Conditions

P. R. Mesenev and A. Yu. Chebotarev p. 33 abstract

Regularization of the Classical Optimality Conditions in Optimal Control Problems for Linear Distributed Systems of Volterra Type

V. I. Sumin and M. I. Sumin p. 42 abstract

Ordinary Differential Equations

Traveling Waves in Fully Coupled Networks of Linear Oscillators

S. D. Glyzin and A. Yu. Kolesov p. 66 abstract

Partial Differential Equations

Highly Accurate Methods for Solving One-Dimensional Maxwell Equations in Stratified Media

A. A. Belov and Zh. O. Dombrovskaya p. 84 abstract

Collocation-Variational Approaches to the Solution to Volterra Integral Equations of the First Kind

M. V. Bulatov and E. V. Markova p. 98 abstract

Hodograph Method for Solving the Overturned Shallow Water Problem

T. F. Dolgikh and M. Yu. Zhukov p. 106 abstract

Blow-up of Weak Solutions of the Cauchy Problem for (3+1)-Dimensional Equation of Plasma Drift Waves

M. O. Korpusov and R. S. Shafir p. 117 abstract

Method of Y-Mappings for Study of Multiparameter Nonlinear Eigenvalue Problems

Yu. G. Smirnov p. 150 abstract

Mathematical Physics

Mathematical Simulation of Nonequilibrium Shock Layer Flow around a Rotating Body

A. L. Ankudinov p. 157 abstract

Third-Order Accurate Conservative Method on a Unstructured Mesh for Gasdynamic Simulations