Contents

Computational Mathematics and Mathematical Physics

Vol. 65, No. 3, 2025

GENERAL NUMERICAL METHODS

Simultaneous Diagonalization of Two Matrices: Simularities and Congruences

Kh. D. Ikramov, and A. M. Nazari p. 443  abstract

Indexing in the Good–Thomas Fast Fourier Transform Algorithm

M. S. Bespalov p. 449  abstract

A Discontinuous Galerkin Method on Moving Mesh for Ejecta Mixing

Xinyu Zong, Jianqiao Zhang, Jinqi Zhang, and Xianggui Li p. 457  abstract

OPTIMAL CONTROL

Antisymmetric Extremal Mapping and Linear Dynamics

A. S. Antipin, and E. V. Khoroshilova p. 468  abstract

Error Analysis of Numerical Methods for Optimization Problems

A. V. Chernov, A. G. Birjukov, A. M. Lisachenko, and J. G. Chernova p. 486  abstract

Sparse and Transferable Universal Singular Vectors Attack

K. Kuvshinova, O. Tsymboi, and I. Oseledets p. 503  abstract

Summation Method for Fourier Series Associated with a Mixed Problem for the Inhomogeneous Telegraph Equation

I. S. Lomov p. 522  abstract

OPTIMAL CONTROL

Provably High Degree Polynomial Representation Learning with FreeNets

R. Madhavan, and V. Yerram p. 529  abstract

Application of Interval Slopes in Nonsmooth One-Dimensional Optimization Problems

M. A. Posypkin, and D. A. Sidnev p. 544  abstract

OPTIMAL CONTROL

Optimal Approximation of Average Reward Markov Decision Processes

Y. F. Sapronov, and N. E. Yudin p. 567  abstract

OPTIMAL CONTROL

The New is the Well-Forgotten Old—F4 Algorithm Optimization

S. M. Styopkin p. 582  abstract

OPTIMAL CONTROL

An Adaptive Variant of The Frank–Wolfe Method for Relative Smooth Convex Optimization Problems

A. A. Vyguzov, and F. S. Stonyakin p. 591  abstract

PARTIAL DIFFERENTIAL EQUATIONS

On the Uniqueness of Discrete Gravity and Magnetic Potentials

I. E. Stepanova, I. I. Kolotov, A. G. Yagola, A. V. Shchepetilov, and A. N. Levashov p. 603  abstract

Cauchy Problem for the One-Dimensional Equation of Motion in a Metamaterial

Kh. G. Umarov p. 618  abstract

MATHEMATICAL PHYSICS

A Numerical Study of the Generalized FitzHugh–Nagumo Equation Using a Higher Order Galerkin Finite Element Method

A. Devi, and O. P. Yadav p. 629  abstract

INFORMATION SCIENCE

Mathematical Restoration of Signals and Images Using Test Trials: A Non-Blind Approach

A. V. Novikov-Borodin p. 649  abstract