# Current Issue: Daghestan Electronic Mathematical Reports: Issue 9 (2018)

### Articles count: 9

###
Total pages: 80

## Table of contents

### 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 M.A., Murtazaev A.K., Magomedova L.K., Isaeva M.M.

**Pages:**

**15 - 25**

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

**Authors:**Ramazanov M.K., Murtazaev A.K.

**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 S.A.

**Pages:**

**76 - 80**