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2023, Volume 63, Number 1  


Algebraic equations
Real normal form of a binary polynomial at a second-order critical point
A. B. Batkhin, A. D. Bruno
3–15

General numerical methods
Functional summation of series
V. P. Varin
16–30
Geometric algebra and quaternion techniques in computer algebra systems for describing rotations in Eucledean space
T. R. Velieva, M. N. Gevorgyan, A. V. Demidova, A. V. Korolkova, D. S. Kulyabov
31–42
On the structure of solutions to the key Gosper equation in problems of symbolic summation
E. V. Zima
43–50
Generalization of the subset sum problem and cubic forms
A. V. Seliverstov
51–60

Optimal control
FAD technique and differentiation of a composite function
A. F. Albu, A. Yu. Gorchakov, V. I. Zubov
61–73
Optimal boundary control of a distributed heterogeneous vibrating system with given states at intermediate times
V. R. Barseghyan
74–84

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, D. E. Khmelnov
85–92
Analytical study of cubature formulas on a sphere in computer algebra systems
R. È. Bairamov, Yu. A. Blinkov, I. V. Levichev, M. D. Malykh, V. S. Melezhik
93–101

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, E. D. Prokopenko
102–111
Symbolic-numerical modeling of the propagation of adiabatic waveguide mode in a smooth waveguide transition
D. V. Divakov, A. A. Tyutyunnik
112–122
On Cauchy problems for nonlinear Sobolev equations in ferroelectricity theory
M. O. Korpusov, R. S. Shafir
123–144

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, V. A. Sarychev
145–153
Study of secular perturbations in the restricted three-body problem of variable masses using computer algebra
A. T. Ibraimova, M. Zh. Minglibayev, A. N. Prokopenya
154–164

Computer science
Learning port-Hamiltonian systems–algorithms
D. Loziienko, V. Sal'nikov, A. Falaize
165–174
Quantum Markovian dynamics after the bath correlation time
A. E. Teretenkov
175–186
Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
 
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