# Daghestan Electronic Mathematical Reports: Issue 9 (2018)

## List of articles

### Algorithm for numerical realization of polynomials in functions orthogonal in the sense of Sobolev and generated by cosines

Authors: Aknyev Gasan Garunovich, Gadjimirzaev Ramis Mahmudovich
Pages: 1 - 6

### Fast computation of linear combinations of Sobolev functions generated by the Haar functions

Authors: Magomed-Kasumov Magomedrasul Grozbekovich, Magomedov Salikh Rasulovich
Pages: 7 - 14

### Research of the Potts model with $q = 3$ on a triangular lattice by the Wang-Landau algorithm

Authors: Magomedov Magomed Alievich, Murtazaev Akai Kurbanovich, Magomedova Liana Kurbanovna, Isaeva Madina Musaevna
Pages: 15 - 25

### Computer simulation of critical properties of the frustrated Ising model

Authors: Ramazanov Magomedsheikh Kurbanovich, Murtazaev Akai Kurbanovich
Pages: 26 - 32

### An approximate solution of the Cauchy problem for an ODE system by means of system $1,\, x,\, \{\frac{\sqrt{2}}{\pi n}\sin(\pi nx)\}_{n=1}^\infty$

Author: Sharapudinov Idris Idrisovich
Pages: 33 - 51

### An algorithm for fast discrete transformation for Fourier sums over Sobolev orthogonal polynomials generated by Chebyshev polynomials of the first kind

Authors: Sultanakhmedov Murad Salikhovich, Shakh-Emirov Tadgidin Nurmagomedovich
Pages: 52 - 61

### Convex interpolation by rational spline functions of class $C ^ 2$

Authors: Ramazanov Abdul-Rashid Kehrimanovich, Magomedova Vazipat Gusenovna
Pages: 62 - 67

### On the existence and uniqueness of solutions of ODEs with discontinuous right-hand sides and Sobolev orthogonal systems of functions

Author: Sharapudinov Idris Idrisovich
Pages: 68 - 75

### Automation of the creation of test units by programming language

Authors: Magomedov Abdulkerim Magomedovich, Lavrenchenko Sergey Aleksandrovich
Pages: 76 - 80

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