Vol. 18, No. 5, 2026

Mathematical Models and Computer Simulations

Simple Mathematical Models of Plasma Acceleration in Stationary Plasma Thrusters

K. V. Brushlinskii, S. V. Vlasov, and V. V. Kriuchenkov p. 547 abstract

Simulation of Flows with Porous Inserts Using a Quasi-Gasdynamic System of Equations

N. G. Churbanova p. 561 abstract

Grid-Characteristic Scheme for Rarefaction Waves in Shallow Water on Dynamically Adaptive Meshes

S. A. Ladygin, K. E. Shilnikov, and P. N. Ryabov p. 570 abstract

Application of Bicompact Schemes to Solving Nonconservative Hyperbolic Systems of Equations

M. D. Bragin p. 586 abstract

Mathematical Modeling of the Motion and Explosion of a Cosmic Body in the Earth’s Atmosphere Causing Forest Destruction

V. A. Andrushchenko, I. V. Murashkin, and N. G. Syzranova p. 603 abstract

Selection of Weighting Coefficients of PSO in the Time-Optimal Spacecraft Reorientation Problem

G. R. Makarov, S. S. Tkachev, and A. S. Drobysheva p. 613 abstract

Numerical Simulation of the Impact Wave Interaction with a System of Air Bubbles in Water

I. R. Khaytaliev, E. V. Shilnikov, and T. G. Elizarova p. 623 abstract

Application of a Completely Conservative Difference Scheme with Adaptive Artificial Viscosity to Solve Dusty Gas Problems

M. E. Ladonkina, Yu. A. Poveshchenko, and H. Zhang p. 635 abstract

Kernel Fisher Discriminant Analysis with the Nyström Method for Automatic Weighting of Reference Points

I. S. Poljanskyi and A. V. Senatorov p. 645 abstract

Numerical Solution of the Black–Scholes and Convection-Diffusion Equations with Free Boundary Determination

A. R. Dzhanbekova and A. S. Shvedov p. 657 abstract

Evolution of Three-Dimensional Unsteady Contrast Structure in a Medium with Weak Advection

A. A. Bykov and Qingzhao Gan p. 670 abstract