Contents

Computational Mathematics and Mathematical Physics

Vol. 60, No. 1, 2020

Regular Solutions of Linear Ordinary Differential Equations and Truncated Series

S. A. Abramov, A. A. Ryabenko and D. E. Khmelnov p. 1  abstract

Application of the Fast Automatic Differentiation Technique for Solving Inverse Coefficient Problems

A. F. Albu, Yu. G. Evtushenko and V. I. Zubov p. 15  abstract

A Study of Secular Perturbations of Translational-Rotational Motion in a Nonstationary Two-Body Problem Using Computer Algebra

S. B. Bizhanova, M. Zh. Minglibayev and A. N. Prokopenya p. 26  abstract

Normal Form of a Hamiltonian System with a Periodic Perturbation

A. D. Bruno p. 36  abstract

Nonlocal Singularities on Families of Periodic Solutions to Ordinary Differential Equations

V. P. Varin p. 53  abstract

A Practical Approach to Testing Random Number Generators in Computer Algebra Systems

M. N. Gevorkyan, A. V. Demidova, A. V. Korol’kova and D. S. Kulyabov p. 65  abstract

Application of Computer Algebra Methods to Investigation of Stationary Motions of a System of Two Connected Bodies Moving in a Circular Orbit

S. A. Gutnik and V. A. Sarychev p. 74  abstract

Calculation of Transition Probabilities in Quantum Mechanics with a Nonnegative Distribution Function in the Maple Computer Algebra System

A. V. Zorin and N. P. Tretyakov p. 82  abstract

Computation of Irreducible Decompositions of Permutation Representations of Wreath Products of Finite Groups

V. V. Kornyak p. 90  abstract

Symmetric Matrices Whose Entries Are Linear Functions

A. V. Seliverstov p. 102  abstract

Matrices of Scalar Differential Operators: Divisibility and Spaces of Solutions

S. A. Abramov, M. A. Barkatou and M. Petkovšek p. 109  abstract

High Accuracy Trigonometric Approximations of the Real Bessel Functions of the First Kind

A. Cuyt, Wen-shin Lee and Min Wu p. 119  abstract

Computational Aspects of Irreducible Polynomials

D. Ştefănescu p. 128  abstract

Completely Conservative Difference Schemes for Fluid Dynamics in a Piezoconductive Medium with Gas Hydrate Inclusions

V. A. Gasilov, Yu. A. Poveshchenko, V. O. Podryga and P. I. Rahimly p. 134  abstract

Class of Neumann-Type Problems for the Polyharmonic Equation in a Ball

V. V. Karachik p. 144  abstract

Complexity of Some Problems of Quadratic Partitioning of a Finite Set of Points in Euclidean Space into Balanced Clusters

A. V. Kel’manov, A. V. Pyatkin and V. I. Khandeev p. 163  abstract

Simulation of Dynamical Processes in Long Josephson Junctions: Computation of Current-Voltage Characteristics and Round Error Growth Estimation for a Second-Order Difference Scheme

S. I. Serdyukova p. 171  abstract