Contents

Computational Mathematics and Mathematical Physics


Vol. 62, No. 12, 2022


General Numerical Methods

Conformal Mapping of an L-Shaped Domain in Analytical Form

V. I. Vlasov and S. L. Skorokhodov p. 1971  abstract

Numerical Investigation of the Properties of Remainder in Gauss’s Circle Problem

D. A. Popov and D. V. Sushko p. 2008  abstract


Optimal Control

Optimal Boundary Control of a Distributed Heterogeneous Vibrating System with Given States at Intermediate Times

V. R. Barseghyan p. 2023  abstract

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 p. 2033  abstract


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 p. 2041  abstract

Analytical-Numerical Method for Analyzing Small Perturbations of Geostrophic Ocean Currents with a General Parabolic Vertical Profile of Velocity

S. L. Skorokhodov and N. P. Kuzmina p. 2058  abstract


Partial Differential Equations

Formulas for Computing the Lauricella Function in the Case of Crowding of Variables

S. I. Bezrodnykh p. 2069  abstract

On Cauchy Problems for Nonlinear Sobolev Equations in Ferroelectricity Theory

M. O. Korpusov and R. S. Shafir p. 2091  abstract

On Analytic Continuation of Conformal Mapping of a Circular Triangle

S. V. Pikulin p. 2112  abstract

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 and Mingkang Ni p. 2123  abstract


Mathematical Physics

Nondissipative Discontinuity Structures and Solitary Waves in Solutions to Equations of Two-Fluid Plasma in the Electromagnetic Hydrodynamics Approximation

I. B. Bakholdin p. 2139  abstract

On the Approximation of a Nearly Dynamically Symmetric Rigid Body by Two Balls

A. A. Burov and V. I. Nikonov p. 2154  abstract

A Novel Numerical Approach for Fredholm Integro-Differential Equations

H. G. Cakir, F. Cakir and M. Cakir p. 2161  abstract