6 semester

1.       

Name of the discipline

Numerical methods

2.       

Training course

3

3.       

Semester of study

6

4.       

Number of credits

3

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 construction and software implementation of numerical methods for solving differential problems;

– acquisition of skills to choose adequate numerical methods for solving a specific problem;

– study of methods of a priori and a posteriori error estimation of the solution;

– study of applied aspects of numerical methods of differential problems.

– familiarization with numerical methods for solving differential problems implemented in computer mathematics packages .

7.       

Prerequisites

– – mathematical analysis;

– differential equation;

– methods of mathematical physics;

– programming method;

– computer mathematics systems;

– numerical methods (5 semester)

8.       

Content of the discipline

Numerical methods for solving the Cauchy problem for ordinary differential equations.

Numerical methods for solving boundary value problems for ordinary differential equations.

Numerical solution of Fredholm integral equations.

Construction and study of difference schemes for mathematical physics problems.

9.       

Recommended reading

1. Samarskiy A. A., Gulin A.V. Numerical methods. M.: Science, 1989. 432 p.

2. Kalitkin N. N. Numerical methods. 2nd ed. – BHV-Petersburg, 2011, 592 p.

3. Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P.. Numerical Recipes: the art of scientific computing. New York. 1997. 973p

10.       

Teaching method

passive, active, interactive, verbal, visual, problem

11.       

Language of instruction

Russian

12.       

Conditions (requirements), current control

– report on laboratory work;

– test;

–  colloquium.

13.       

Current certification form

Exam