2 semester

1.      

Name of discipline

Computer simulation

2.      

Training course, speciality

1, 1-31 81 07 Mathematical and software mobile devices

3.      

Semester of study

2

4.      

Number of credits

2.5

5.      

Full name of lecturer

doctor of physical and mathematical Sciences, associate Professor Vasily Volkov

6.      

Objectives of the discipline

  • study of the principles of mathematical models construction and creation of the corresponding software applications for computer modeling;
  • the study of modern systems of mathematical modeling;
  • studying the principles of parallel implementation of algorithms and the use of modern high-performance systems;

7.      

Prerequisites

  • differential equation;
  • linear algebra;
  • computer mathematics systems;
  • optimization method

8.      

Content of the discipline

Classification of mathematical models. Matlab as a universal system of computer modeling.  Differential equations as models of natural Sciences. Matlab PDEtool Application. Approximation and identification of mathematical models; linear regression and nonlinear fitting. Digital signal processing methods for modeling linear systems. Applications signal Analyzer simulation of artificial intelligence.  Fuzzy inference systems and hybrid neural networks. Fuzzy and anfisedit applications. Statistical modeling. Statistical data analysis and machine learning.  Clustering, findcluster application. Parallel programming and GPGPU technology.

 

9.      

Recommended reading

  1. V. Dyakonov, V. Kruglov Mathematical expansion packs MATLAB. Special reference book. St. Petersburg,: Peter, 2001. – 480s.
  2. Pegat A. Fuzzy modeling and control //M.: Binom. Laboratory of knowledge. – 2009. – Vol. 798.
  3. Dyakonov V. VisSim+ Mathcad+ MATLAB. Visual mathematical modeling. – Litres, 2017.
  4. Sergienko A. B. Digital signal processing. – BHV-Petersburg, 2011.
  5. https://www.mathworks.com/solutions/mathematical-modeling.html

10.   

Teaching method

passive, active, interactive, verbal, visual, problem

11.   

Language of instruction

Russian

12.   

Conditions (requirements), current control

  • report on laboratory work;
  • test;

13.   

Current certification form

exam