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2022, Volume 62, Number 12
General numerical methods
Conformal mapping of an
$L$
-shaped domain in analytical form
V. I. Vlasov, S. L. Skorokhodov
1943–1980
On
$L^2$
-dissipativity of a linearized scheme on staggered meshes with a regularization for 1D barotropic gas dynamics equations
A. A. Zlotnik, T. A. Lomonosov
1981–2001
Numerical investigation of the properties of remainder in Gauss's circle problem
D. A. Popov, D. V. Sushko
2002–2017
Optimal control
Numerical algorithm for solving a class of optimization problems with a constraint in the form of a subset of points of a smooth surface
Yu. A. Chernyaev
2018–2025
Ordinary differential equations
To Integration of the Damped Mathieu Equation in the Monograph of N. N. Bogoliubov and Y. A. Mitropolsky "Asymptotic Methods in the Theory of Nonlinear Oscillations"
A. F. Kurin
2026–2042
Analytical-numerical method for analyzing small perturbations of geostrophic ocean currents with a general parabolic vertical profile of velocity
S. L. Skorokhodov, N. P. Kuzmina
2043–2053
Partial Differential Equations
Formulas for computing the Lauricella function in the case of crowding of variables
S. I. Bezrodnykh
2054–2076
On analytic continuation of conformal mapping of a circular triangle
S. V. Pikulin
2077–2088
Multizonal boundary and internal layers in the singularly perturbed problems for a stationary equation of reaction–advection–diffusion type with weak and discontinuous nonlinearity
Q. Yang, M. Ni
2089
Mathematical physics
Nondissipative discontinuity structures and solitary waves in solutions to equations of two-fluid plasma in the electromagnetic hydrodynamics approximation
I. B. Bakholdin
2090–2104
On the approximation of a nearly dynamically symmetric rigid body by two balls
A. A. Burov, V. I. Nikonov
2105–2111
A novel numerical approach for Fredholm integro-differential equations
H. G. Cakir, F. Cakir, M. Cakir
2112
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