Contents

Computational Mathematics and Mathematical Physics

Vol. 66, No. 1, 2026

GENERAL NUMERICAL METHODS

Acceleration of Iterative Methods for Solving Linear Inverse Problems Based on Low-Rank Approximation

B. I. Valiakhmetov, D. V. Lukyanenko, and E. E. Tyrtyshnikov p. 1  abstract

GENERAL NUMERICAL METHODS

Memory Time Fluctuations and Explosive Growth of Moments in Systems of Equations with Random Coefficients

E. A. Illarionov, D. D. Sokoloff, and S. S. Pavlenko p. 15  abstract

Astrophysical Research of A.G. Yagola

A. M. Cherepashchuk p. 20  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Restoration of the Oscillation Function for the Source Support in the Wave Equation

A. B. Bakushinskii and A. S. Leonov p. 24  abstract

Approximation of the Solution of the Inverse Problem for a Singularly Perturbed Integro-Differential Parabolic Equation

A. M. Denisov p. 37  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Which Ill-Posed Problems Are Regularizable with A Posteriori Accuracy Estimates?

M. Yu. Kokurin p. 44  abstract

MATHEMATICAL PHYSICS

On the Solution of a Three-Dimensional Structural Inverse Problem of Magnetometry for Interfaces in Horizontally Layered Media

P. S. Martyshko, D. D. Byzov, and A. L. Rublev p. 56  abstract

MATHEMATICAL PHYSICS

On the Eigenvalue Problem for the Discrete Analogue of the Laplace Operator in Spherical Coordinates

I. E. Stepanova, A. V. Shchepetilov, and I. I. Kolotov p. 65  abstract

MATHEMATICAL PHYSICS

Inverse Problems of Optics of Layered Media

A. V. Tikhonravov and D. V. Lukyanenko p. 75  abstract

Investigation of Optical Coating Properties Based on a Simplified Deposition Process Simulator

A. N. Sharov and T. F. Isaev p. 82  abstract

Model-Driven and Data-Driven Inversion in Geophysical Exploration

Y. F. Wang, Z. J. Bai, Y. C. Wang, and D. Lukyanenko p. 93  abstract

MATHEMATICAL PHYSICS

Multi-Layer 5D Optical Data Storage: Mathematical Modeling and Deep Learning-Based Reconstruction of Birefringent Parameters

Ye Zhang, Qiao Zhu, Rongkuan Zhou, Tatiana Lysak, and Chao Wang p. 120  abstract

MATHEMATICAL PHYSICS

A Direct Sampling Method to Reconstruct the Source of Elastic Waves from Far-Field Pattern

Yan Chang, Yukun Guo, M. V. Klibanov, and Jingzhi Li p. 136  abstract

INFORMATION SCIENCE

Minimization of Systematic and Random Errors in Linear Estimation Problems for Big Data Processing

P. V. Golubtsov p. 148  abstract

Experience in Applying Physics-Informed Neural Networks to Inverse Problems of Geoelectrics

M. I. Shimelevich, E. A. Obornev, I. E. Obornev, and E. A. Rodionov p. 166  abstract