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2024, Volume 64, Number 7  


General numerical methods
Difference operator approximations on nonstandard rectangular grid
P. N. Vabishchevich
1097–1111
Regularization of the solution to degenerate systems of algebraic equations exemplified by identification of the virial equation of state of a real gas
A. G. Vikulov
1112–1127
The MDM algorithm and the Sylvester problem
V. N. Malozemov, N. A. Solovyeva, G. Sh. Tamasyan
1128–1144
New classes of solutions of the $\sigma$-commutation problem ($\sigma\ne0$, $\pm1$) for Toeplitz and Hankel matrices within a unified approach
V. N. Chugunov, Kh. D. Ikramov
1145–1162

Optimal control
Approximation of optimal control problems for semilinear elliptic convection–diffusion equations with boundary observation of the conormal derivative and with controls in coefficients of the convective transport operator and in nonlinear term of the equation
F. V. Lubyshev, M. È. Fairuzov
1163–1182

Ordinary differential equations
Application of universal fast trigonometric interpolation and extrapolation for determining the launch point coordinates of a flight vehicle
A. D. Chernyshov, O. Yu. Nikiforova, V. V. Goryainov, I. G. Rukin
1183–1195
Dualism in the theory of soliton solutions
L. A. Beklaryan, A. L. Beklaryan
1196–1216

Partial Differential Equations
Generalization of the method of scattering matrices to problems in nonlinear dispersion media
A. A. Belov, Zh. O. Dombrovskaya
1217–1232
On the uniform convergence of approximations to the tangential and normal derivatives of the single-layer potential near the boundary of a two-dimensional domain
D. Yu. Ivanov
1233–1252
On the uniqueness of determining the mesh fundamental solution of Laplace’s equation in the theory of discrete potential
I. E. Stepanova, I. I. Kolotov, A. G. Yagola, A. N. Levashov
1253–1267
Numerical solution of the Vlasov–Ampère equations
E. V. Chizhonkov
1268–1280

Mathematical physics
$KP_1$-scheme for acceleration of upscatter iterations over the neutron thermalization region and the fission source in solving a subcritical boundary value problem
A. M. Voloshchenko
1281–1304
Comparative analysis of the influence of surface quantum effects on optical characteristics of alkali and noble metallic nanoparticles
Yu. A. Eremin, V. V. Lopushenko
1305–1313
Numerical diagnostics of solution blow-up in a thermoelectric semiconductor model
M. O. Korpusov, R. S. Shafir, A. K. Matveeva
1314–1322
Application of weighting direct simulation Monte Carlo schemes to weakly ionized rarefied gas flows
A. A. Shevyrin, E. A. Bondar'
1323–1334

Papers published in the English version of the journal
Complex Narayana quaternions
Çağla Çelemoğlu
1431–1442
Hamiltonian system for three-dimensional problem of two-dimensional decagonal piezoelectric quasicrystals and its symplectic analytical solutions
Zhiqiang Sun, Guolin Hou, Yanfen Qiao, Jincun Liu
1549–1563
The solution comparison of fractional heat transfer and porous media equations using analytical techniques
M. Arshad, S. Khan, M. Sohail, H. Khan, F. Tchier, M. K. Haidary, M. Nadeem
1614–1630
A mixed finite element approximation for fluid flows of mixed regimes in porous media
J. Cummings, M. Hamilton, T. Kieu
1631–1651
Æóðíàë âû÷èñëèòåëüíîé ìàòåìàòèêè è ìàòåìàòè÷åñêîé ôèçèêè Computational Mathematics and Mathematical Physics
 
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