Vol. 63, No. 12, 2023

Computational Mathematics and Mathematical Physics

Mathematical Physics

Numerical Analysis of Rarefied Gas Flow through a System of Short Channels

I. V. Voronich and V. A. Titarev p. 2227 abstract

Evolution of the Shape of a Gas Cloud during Pulsed Laser Evaporation into Vacuum: Direct Simulation Monte Carlo and the Solution of a Model Equation

A. A. Morozov and V. A. Titarev p. 2244 abstract

Numerical and Theoretical Analysis of Model Equations for Multicomponent Rarefied Gas

A. A. Frolova p. 2257 abstract

On the Simulation of a Rarefied Plasma Jet on the Basis of Kinetic Equations

M. V. Abgaryan, A. M. Bishaev and V. A. Rykov p. 2267 abstract

Data Parallelization Algorithms for the Direct Simulation Monte Carlo Method for Rarefied Gas Flows on the Basis of OpenMP Technology

N. Yu. Bykov and S. A. Fyodorov p. 2275 abstract

Nonclassical Heat Transfer in a Microchannel and a Problem for Lattice Boltzmann Equations

O. V. Ilyin p. 2297 abstract

Study of Nonclassical Transport by Applying Numerical Methods for Solving the Boltzmann Equation

V. V. Aristov, I. V. Voronich and S. A. Zabelok p. 2306 abstract

Accelerating the Solution of the Boltzmann Equation by Controlling Contributions to the Collision Integral

F. G. Tcheremissine p. 2315 abstract

Three-Dimensional Simulation of a High-Velocity Body Motion in a Tube with Rarefied Gas

A. N. Yakunchikov and A. R. Iuldasheva p. 2330 abstract

On One Method for Calculating Nonstationary Heat Transfer between a Gas Flow and a Solid Body

V. T. Zhukov, N. D. Novikova and O. B. Feodoritova p. 2344 abstract

Singularity Formation in an Incompressible Boundary Layer on an Upstream Moving Wall under Given External Pressure

S. I. Bezrodnykh, V. B. Zametaev and Te Ha Chzhun p. 2359 abstract

Stability Analysis of Polymerization Fronts

Y. Joundy, H. Rouah and A. Taik p. 2372 abstract

Generalization of the Penalized Wall Function Method for Modeling of Turbulent Flows with Adverse Pressure Gradient

O. V. Vasilyev and N. S. Zhdanova p. 2384 abstract

General Numerical Methods

Analysis of Defects and Harmonic Grid Generation in Domains with Angles and Cutouts

S. I. Bezrodnykh and V. I. Vlasov p. 2402 abstract

Projection-Grid Schemes on Irregular Grids for a Parabolic Equation

O. G. Olkhovskaya p. 2435 abstract

Conformal Mapping of a Z-Shaped Domain

S. L. Skorokhodov p. 2451 abstract

Study of the Gardner Equation with Homogeneous Boundary Conditions via Fourth Order Modified Cubic B-Spline Collocation Method

S. Dahiya, A. Singh and S. P. Singh p. 2474 abstract

Optimal Control

Density Function-Based Trust Region Algorithm for Approximating Pareto Front of Black-Box Multiobjective Optimization Problems

K. H. Ju, Y. B. O and K. Rim p. 2492 abstract

Ordinary Differential Equation

A Uniformly Convergent Numerical Method for Singularly Perturbed Semilinear Integro-Differential Equations with Two Integral Boundary Conditions

Baransel Gunes and Musa Cakir p. 2513 abstract

A Novel Fitted Method for a Class of Singularly Perturbed Differential-Difference Equations with Small Delay Exhibiting Twin Layer or Oscillatory Behaviour

Mohammad Javed Alam, Hari Shankar Prasad and Rakesh Ranjan p. 2528 abstract

Partial Differential Equations

Stability and Error Estimates of High Order BDF-LDG Discretizations for the Allen–Cahn Equation

Fengna Yan and Ziqiang Cheng p. 2551 abstract

Multipole Representation of the Gravitational Field of the Asteroid (16) Psyche