Contents

Computational Mathematics and Mathematical Physics


Vol. 64, No. 9, 2024


GENERAL NUMERICAL METHODS

Finding Complex-Valued Solutions of Brent Equations Using Nonlinear Least Squares

I. E. Kaporin p. 1881  abstract


GENERAL NUMERICAL METHODS

On 24th-Order Multioperator Approximations in Schemes for Equations with Convective Terms

A. I. Tolstykh p. 1892  abstract


OPTIMAL CONTROL

Fast Automatic Differentiation Technique and Control of Thermal Dynamical Systems

V. I. Zubov p. 1907  abstract


OPTIMAL CONTROL

Synthesis of a Regulator for a Linear-Quadratic Optimal Control Problem

A. S. Antipin, and E. V. Khoroshilova p. 1921  abstract

Optimal Control Synthesis in a Ramsey-Type Model

N. V. Trusov, and A. A. Shananin p. 1939  abstract

Gradient-type Approaches to Inverse and Ill-Posed Problems of Mathematical Physics

G. D. Akindinov, A. V. Gasnikov, O. I. Krivorotko, V. V. Matyukhin, and N. V. Pletnev p. 1974  abstract

An Approach Problem for Control Systems Based on Runge–Kutta Methods

Yan Cui, Yang Yu, Yanshan Liu, Xinran Hao, and Hongwei Gao p. 1991  abstract


ORDINARY DIFFERENTIAL EQUATIONS

On the Multiplicative Property of Indicial Polynomials

S. A. Abramov p. 2005  abstract

On Boundary Properties of Conformal Mappings

A. P. Soldatov p. 2011  abstract


PARTIAL DIFFERENTIAL EQUATIONS

On Numerical Damping of String Vibrations Using Several Stationary Actuators

I. E. Mikhailov p. 2026  abstract

Direct and Inverse Problems in the Generalized Logarithmic Boussinesq Equation

Sharefa Asiri, and H. A. Ashi p. 2034  abstract

Extended Direct Method and New Similarity Solutions of Kadomtsev–Petviashvili Equation

BaoQin Zhao, and Shaowei Liu p. 2045  abstract


MATHEMATICAL PHYSICS

Explicit-Implicit Numerical Scheme for Problems in the Dynamics of Elastoviscoplastic Media with Softening

A. V. Shevchenko, I. S. Nikitin, V. I. Golubev, and I. B. Petrov p. 2066  abstract

Analytical and Numerical Solution of Kinetic Interaction Problems for Groups of Fast Particles

V. V. Aristov, and I. V. Voronich p. 2076  abstract

Numerical Computation of Methane Migration Effect on Seismic Survey Results in Permafrost Zones

E. K. Guseva, V. I. Golubev, and I. B. Petrov p. 2085  abstract

Satellite in Elliptical Orbit: on Numerical Detection of Periodic Movements and Analysis of Their Stability

A. A. Burov, and V. I. Nikonov p. 2094  abstract


MATHEMATICAL PHYSICS

Numerical Study of Transient Regimes of Kolmogorov Flow in a Square Cell

A. O. Posudnevskaya, S. V. Fortova, A. N. Doludenko, I. V. Kolokolov, and V. V. Lebedev p. 2102  abstract

Algorithm for Mesh Adaptation to a Flow Field with a Bow Shock Wave

I. V. Voronich, N. S. Smirnova, and V. A. Titarev p. 2111  abstract

Numerical Study of Shock Wave Processes in Materials under the Influence of Ultrashort Laser Pulses Using the Baer–Nunziato Model

P. A. Chuprov, S. V. Fortova, and V. V. Shepelev p. 2121  abstract


MATHEMATICAL PHYSICS

On Accuracy of the Lattice Boltzmann Equations of Low and High Orders as Applied to Slow Isothermal Microflows

O. V. Ilyin p. 2131  abstract


MATHEMATICAL PHYSICS

Numerical Simulation of Flow of a Polymer Solution for Kolmogorov Flow

V. V. Denisenko, S. V. Fortova, V. V. Lebedev, and I. V. Kolokolov p. 2141  abstract