Contents

Computational Mathematics and Mathematical Physics

Vol. 63, No. 1, 2023

Algebraic Equations

Real Normal Form of a Binary Polynomial at a Second-Order Critical Point

A. B. Batkhin and A. D. Bruno p. 1  abstract

General Numerical Methods

Functional Summation of Series

V. P. Varin p. 14  abstract

Geometric Algebra and Quaternion Techniques in Computer Algebra Systems for Describing Rotations in Eucledean Space

T. R. Velieva, M. N. Gevorkyan, A. V. Demidova, A. V. Korol’kova and D. S. Kulyabov p. 29  abstract

On the Structure of Solutions to the Key Gosper Equation in Problems of Symbolic Summation

E. V. Zima p. 40  abstract

Generalization of the Subset Sum Problem and Cubic Forms

A. V. Seliverstov p. 48  abstract

Optimal Control

FAD Technique and Differentiation of a Composite Function

A. F. Albu, A. Yu. Gorchakov and V. I. Zubov p. 57  abstract

Ordinary Differential Equations

Counterexamples to the Assumption on the Possibility of Prolongation of Truncated Solutions of a Truncated LODE

S. A. Abramov, A. A. Ryabenko and D. E. Khmelnov p. 69  abstract

Analytical Study of Cubature Formulas on a Sphere in Computer Algebra Systems

R. E. Bayramov, Yu. A. Blinkov, I. V. Levichev, M. D. Malykh and V. S. Melezhik p. 77  abstract

Partial Differential Equations

Convergence of Formal Solutions to the Second Member of the Fourth Painlevé Hierarchy in a Neighborhood of Zero

V. I. Anoshin, A. D. Beketova, A. V. Parusnikova and E. D. Prokopenko p. 86  abstract

Symbolic-Numerical Modeling of the Propagation of Adiabatic Waveguide Mode in a Smooth Waveguide Transition

D. V. Divakov and A. A. Tyutyunnik p. 96  abstract

Mathematical Physics

Research into the Dynamics of a System of Two Connected Bodies Moving in the Plane of a Circular Orbit by Applying Computer Algebra Methods

S. A. Gutnik and V. A. Sarychev p. 106  abstract

Study of Secular Perturbations in the Restricted Three-Body Problem of Variable Masses Using Computer Algebra

A. T. Ibraimova, M. Zh. Minglibayev and A. N. Prokopenya p. 115  abstract

Computer Science

Learning port-Hamiltonian Systems—Algorithms

V. Salnikov, A. Falaize and D. Lozienko p. 126  abstract

Quantum Markovian Dynamics after the Bath Correlation Time

A. E. Teretenkov p. 135  abstract