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2022, Volume 62, Number 7
General numerical methods
Splitting schemes for one class of operator differential equations
P. N. Vabishchevich
1059–1066
Nonlinear finite volume method for the interface advection-compression problem on unstructured adaptive meshes
Yu. V. Vassilevski, K. M. Terekhov
1067–1084
Ordinary differential equations
Summation of Poincaré theta series in the Schottky model
S. Yu. Lyamaev
1085–1099
Partial Differential Equations
On the global solvability of a boundary value problem for the equations of a viscous heat-conducting gas under the radiative transfer conditions
E. V. Amosova
1100–1114
Schwarz problem for
$J$
-analytic functions in an ellipse
V. G. Nikolaev
1115–1137
Nonlinear Schrödinger equation and the hyperbolization method
A. D. Yunakovsky
1138–1157
Mathematical physics
Stationary and oscillating solutions of the ionization equations
M. B. Gavrikov, A. A. Tayurskiy
1158–1179
Modeling of three-dimensional potential fluid flow in a time-varying domain
V. A. Galkin, A. O. Dubovik
1180–1186
Rapidly convergent series for solving the electrovortex flow problem in a hemispherical vessel
K. Yu. Malyshev, E. A. Mikhaylov, I. O. Teplyakov
1187–1199
Discrete-analytical difference scheme for solving the nonstationary particle transport equation by the splitting method
N. Ya. Moiseev, V. M. Shmakov
1200–1208
Excitation and development of instability in a compressible boundary layer as obtained in high-order accurate numerical simulation without introducing artificial perturbations
A. I. Tolstykh, D. A. Shirobokov
1209–1223
A difference scheme of the decomposition method for an initial boundary value problem for the singularly perturbed transport equation
G. I. Shishkin, L. P. Shishkina
1224–1232
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