Contents

Computational Mathematics and Mathematical Physics


Vol. 66, No. 5, 2026


GENERAL NUMERICAL METHODS

On Diagonalizations of One-Parameter Unitary Groups Depending on Time Direction

A. E. Teretenkov p. 795  abstract

A Semigroup Approach for Constructing the Fractional Power of the Laplace–Bessel Operator

E. L. Shishkina p. 804  abstract


PARTIAL DIFFERENTIAL EQUATIONS

Measurability of Curved Bars on a Hilbert Space

V. M. Busovikov and V. Zh. Sakbaev p. 816  abstract

On the Strong Ellipticity of One Functional Differential Equation with Orthotropic Contraction in a Three-Dimensional Domain

T. Ganyani, L. E. Rossovskii, and A. L. Tasevich p. 826  abstract

On the Index of Elliptic Operators on Manifolds with Cylindrical Ends

H. H. Abbas, K. N. Zhuikov, and A. Yu. Savin p. 837  abstract

Local Bifurcations and Traveling Waves of a Periodic Boundary-Value Problem for the Benney–Lin–Kawahara Equation

A. N. Kulikov and D. A. Kulikov p. 859  abstract

Nonclassical Problems for the System of Maxwell’s Equations in the Quasi-Stationary Electrical Approximation

A. V. Kalinin and A. A. Tyukhtina p. 876  abstract

Behavior of Solutions to the Cauchy Problem for a Parabolic Differential-Difference Equation with Orthogonal Shifts: Comparison of the \({{L}_{1}}({{\mathbb{R}}^{n}})\) and \({{L}_{2}}({{\mathbb{R}}^{n}})\) Initial Data Cases

G. L. Rossovskii p. 890  abstract

On the Existence and Uniqueness of a Fundamental Solution with Support in a Cone for a Multidimensional Wave Integro-Differential Operator with a Kernel Representable by Generalized Mittag-Leffler Functions

N. A. Rautian p. 903  abstract

Highly Accurate Stable Difference Schemes for Integral Type Time-Nonlocal Problems for Parabolic Differential Equation

A. Ashyralyev and C. Ashyralyyev p. 915  abstract


PARTIAL DIFFERENTIAL EQUATIONS

Limit Theorems for the Evolution of Quantum Pure States

S. V. Dzhenzher and V. Zh. Sakbaev p. 927  abstract


MATHEMATICAL PHYSICS

An Improved High-Accuracy WENO-ZN Scheme

Jing Lin, Changna Lu, Qing Cao, and Jin Wang p. 933  abstract


INFORMATION SCIENCE

How to Explain Grokking

S. V. Kozyrev p. 953  abstract


INFORMATION SCIENCE

Asymptotics of the Distribution of Distances between Random Points in a High-Dimensional Hypercube

A. A. Kislitsyn, Yu. N. Orlov, and D. T. Tamm p. 958  abstract