Contents

Computational Mathematics and Mathematical Physics


Vol. 61, No. 4, 2021


General Numerical Methods

Finding Root Spaces for a Linear Algebraic Spectral Problem

L. F. Yukhno p. 505  abstract


Optimal Control

Optimization of Source Parameters in Multipoint Nonseparated Conditions for Linear Dynamical Systems

V. M. Abdullayev and K. R. Aida-zade p. 512  abstract

On a Method for Solving a Local Boundary Value Problem for a Nonlinear Stationary Controlled System in the Class of Differentiable Controls

A. N. Kvitko p. 527  abstract

A Modified Trapezoidal Broyden’s Method for Nonlinear Equations

Song Wu and Hai Jun Wang p. 542  abstract


Partial Differential Equations

Analytical Solutions of the Equation Describing Internal Gravity Waves Generated by a Moving Nonlocal Source of Perturbations

V. V. Bulatov and Yu. V. Vladimirov p. 556  abstract

Semi-Classical Models of Quantum Nanoplasmonics Based on the Discrete Source Method (Review)

Yu. A. Eremin and A. G. Sveshnikov p. 564  abstract

Boundary Element Method for Solving an Inhomogeneous Biharmonic Equation with a Right-Hand Side Containing the Unknown Function and Its Derivatives

R. F. Mardanov and A. E. Mardanova p. 591  abstract


Mathematical Physics

Bicompact Schemes for the Multidimensional Convection–Diffusion Equation

M. D. Bragin and B. V. Rogov p. 607  abstract

Elaboration of the Fast Boundary Element Method for 3D Simulation of the Dynamics of a Bubble Cluster with Solid Particles in an Acoustic Field

I. A. Zarafutdinov, Yu. A. Pityuk and O. A. Solnyshkina p. 625  abstract

An Approach for Solving Three-Dimensional Fluid Dynamics Problems with Allowance for Elastic Processes

A. Yu. Krukovskii, Yu. A. Poveshchenko, V. O. Podryga and P. I. Rahimly p. 638  abstract

Anomalies of Acoustic Wave Propagation in Two Semi-Infinite Cylinders Connected by a Flattened Ligament

S. A. Nazarov and L. Chesnel p. 646  abstract

Vortex Phantoms in the Stationary Kochin–Yudovich Flow Problem

O. V. Troshkin p. 664  abstract