Contents

Computational Mathematics and Mathematical Physics


Vol. 63, No. 6, 2023


General Numerical Methods

Stability Analysis of Nonclassical Difference Schemes for Nonlinear Volterra Integral Equations of the Second Kind

M. N. Botoroeva and M. V. Bulatov p. 919  abstract

On a New Type of Unitoid Matrices

Kh. D. Ikramov p. 929  abstract

A Posteriori Identities for Measures of Deviation from Exact Solutions of Nonlinear Boundary Value Problems

S. I. Repin p. 934  abstract


Optimal Control

p-Regularity Theory and the Existence of a Solution to a Boundary Value Problem Continuously Dependent on Boundary Conditions

Yu. G. Evtushenko, B. Medak and A. A. Tret’yakov p. 957  abstract

On Normality in Optimal Control Problems with State Constraints

D. Yu. Karamzin and F. Lobo Pereira p. 973  abstract

On the Reconstruction of an Input Disturbance in a Reaction–Diffusion System

V. I. Maksimov p. 990  abstract

Mixed Virtual Element Approximation of a Fourth Order Optimal Control Problem

Minghui Yang, Yue Shen and Zhaojie Zhou p. 1001  abstract

Optimization of Control and Parameters in Systems with Phase Constraints

A. I. Tyatyushkin p. 1016  abstract


Ordinary Differential Equations

On Singular Points of Linear Differential-Algebraic Equations with Perturbations in the Form of Integral Operators

V. F. Chistyakov p. 1028  abstract

On Favard Local Parabolic Interpolating Splines with Additional Knots

V. T. Shevaldin p. 1045  abstract


Partial Differential Equations

On the Absence of Weak Solutions of Nonlinear Nonnegative Higher Order Parabolic Inequalities with a Nonlocal Source

W. E. Admasu p. 1052  abstract

On a Class of Exact Solutions to the Incompressible Navier–Stokes System in a Ball and a Spherical Layer

V. A. Galkin p. 1064  abstract

On Critical Exponents for Weak Solutions of the Cauchy Problem for a (2 + 1)-Dimensional Nonlinear Composite-Type Equation with Gradient Nonlinearity

M. O. Korpusov and A. K. Matveeva p. 1070  abstract

Optical Solitary Waves and Soliton Solutions of the (3+1)-Dimensional Generalized Kadomtsev–Petviashvili–Benjamin–Bona–Mahony Equation

A. A. Mahmud, H. M. Baskonus, T. Tanriverdi and K. A. Muhamad p. 1085  abstract

Well-Posedness and Asymptotic Behavior for the Dissipative p-Biharmonic Wave Equation with Logarithmic Nonlinearity and Damping Terms

Mengyuan Zhang, Zhiqing Liu and Xinli Zhang p. 1103  abstract


Mathematical Physics

Comparison of Upwind and Symmetric WENO Schemes in Large Eddy Simulation of Basic Turbulent Flows

S. Bakhne and A. I. Troshin p. 1122  abstract

The Method of Optical Paths for the Numerical Solution of Integrated Photonics Problems

A. A. Belov and Zh. O. Dombrovskaya p. 1137  abstract