Contents

Computational Mathematics and Mathematical Physics

Vol. 63, No. 4, 2023

General Numerical Methods

A Simple Criterion for Estimating the Grid Level of Detail for RANS Methods

A. A. Gavrilov, A. A. Dekterev and A. V. Shebelev p. 505  abstract

Improved Accuracy Estimation of the Tikhonov Method for Ill-Posed Optimization Problems in Hilbert Space

M. M. Kokurin p. 519  abstract

Estimating the Domain of Absolute Stability of a Numerical Scheme Based on the Method of Solution Continuation with Respect to a Parameter for Solving Stiff Initial Value Problems

E. B. Kuznetsov, S. S. Leonov and E. D. Tsapko p. 528  abstract

Partial Differential Equations

Blow-up of Solutions and Local Solvability of an Abstract Cauchy Problem of Second Order with a Noncoercive Source

M. V. Artem’eva and M. O. Korpusov p. 542  abstract

Uniqueness of Solutions to Initial-Boundary Value Problems for Parabolic Systems with Dini-Continuous Coefficients in a Semibounded Domain on the Plane

E. A. Baderko and S. I. Sakharov p. 553  abstract

Results of Symmetry Classification of 2-Field Third-Order Evolutionary Systems with a Constant Separant

M. Yu. Balakhnev p. 564  abstract

Forward and Inverse Source Reconstruction Problems for the Equations of Vibrations of a Rectangular Plate

K. B. Sabitov p. 582  abstract

Mathematical Physics

Aggregation Kinetics in Sedimentation: Effect of Diffusion of Particles

N. V. Brilliantov, R. R. Zagidullin, S. A. Matveev and A. P. Smirnov p. 596  abstract

On Model Two-Dimensional Pressureless Gas Flows: Variational Description and Numerical Algorithm Based on Adhesion Dynamics

N. V. Klyushnev and Yu. G. Rykov p. 606  abstract

Sensitivity of Functionals of the Solution to the Variational Assimilation Problem to the Input Data on the Heat Flux for a Model of Sea Thermodynamics

E. I. Parmuzin and V. P. Shutyaev p. 623  abstract

Determining the Height of Energy Barriers of the Cyclohexene Molecule Using Stochastic Approximation

A. V. Teplukhin p. 633  abstract

Numerical Study of Instability of Medium Interface During Thermonuclear Combustion of a Cylindrical Shelled Microtarget

K. V. Khishchenko and A. A. Charakhch’yan p. 644  abstract

Two-Grid Finite Element Galerkin Approximation of Equations of Motion Arising in Oldroyd Fluids of Order One with Non-Smooth Initial Data

D. Goswami, P. D. Damázio, J. Y. Yuan and B. Bir p. 659  abstract