Contents

Computational Mathematics and Mathematical Physics


Vol. 64, No. 6, 2024


GENERAL NUMERICAL METHODS

Rational Arithmetic with a Round-Off

V. P. Varin p. 1143  abstract

On Asymptotics of Eigenvalues of Seven-Diagonal Toeplitz Matrices

I. V. Voronin p. 1159  abstract

Formulas for Numerical Differentiation on a Uniform Mesh in the Presence of a Boundary Layer

A. I. Zadorin p. 1167  abstract


GENERAL NUMERICAL METHODS

q-Modified Differential Transform Method

F. Hıra p. 1176  abstract


OPTIMAL CONTROL

Symmetries and Decomposition of Systems of Partial Differential Equations and Control Systems with Distributed Parameters

V. I. Elkin p. 1186  abstract


OPTIMAL CONTROL

Fault-Tolerant Families of Production Plans: Mathematical Model, Computational Complexity, and Branch-and-Bound Algorithms

Yu. Yu. Ogorodnikov, R. A. Rudakov, D. M. Khachai, and M. Yu. Khachai p. 1193  abstract


OPTIMAL CONTROL

Controllability of Distributed Parameter Systems

V. K. Tolstykh p. 1211  abstract


ORDINARY DIFFERENTIAL EQUATION

On the Approximation of the First Eigenvalue of Some Boundary Value Problems

M. Yu. Vatolkin p. 1224  abstract

Analytical-Numerical Method for Solving the Spectral Problem in a Model of Geostrophic Ocean Currents

S. L. Skorokhodov, and N. P. Kuzmina p. 1240  abstract


ORDINARY DIFFERENTIAL EQUATIONS

Existence of Solutions to the Non-Self-Adjoint Sturm–Liouville Problem with Discontinuous Nonlinearity

O. V. Baskov, and D. K. Potapov p. 1254  abstract


PARTIAL DIFFERENTIAL EQUATIONS

Functionals of Eigenvalues on the Manifold of Potentials

Ya. M. Dymarskii p. 1261  abstract

Initial-Boundary Value Problems for Parabolic Systems in a Semibounded Plane Domain with General Boundary Conditions

S. I. Sakharov p. 1274  abstract

Application of Asymptotic Methods to the Question of Stability in Stationary Solution with Discontinuity on a Curve

A. Liubavin, and Mingkang Ni p. 1286  abstract


PARTIAL DIFFERENTIAL EQUATIONS

Three Boundary Value Problems for Complex Partial Differential Equations in the Lens Domain

A. Darya, and N. Taghizadeh p. 1295  abstract


MATHEMATICAL PHYSICS

Turbulent Kinetic Energy in an Approximate Riemann Solver

M. I. Boldyrev p. 1306  abstract


MATHEMATICAL PHYSICS

Modeling the Ice–Water Phase Transition in a Tube with Small Ice Buildups on the Wall

R. K. Gaydukov, and V. G. Danilov p. 1317  abstract


MATHEMATICAL PHYSICS

Problems of Determining Quasi-Stationary Electromagnetic Fields in Weakly Inhomogeneous Media

A. V. Kalinin, A. A. Tyukhtina, and S. A. Malov p. 1326  abstract


MATHEMATICAL PHYSICS

Numerical Simulation of Convective Flows in a Thin Liquid Layer at Large Reynolds Numbers

E. V. Laskovets p. 1342  abstract

Asymptotic and Stability Analysis of Reaction Fronts

H. Rouah, Y. Joundy, and A. Taik p. 1353  abstract