The course is devoted to basic numerical methods of the linear algebra and the mathematical analysis. The following topics are presented: direct and iterative methods for solving systems of linear equations; eigenvalue problems; iterative solving of nonlinear equations; interpolation and approximation of the function data; numerical computation of integrals and derivatives; numerical solving of initial value problems for ordinary differential equations; using MATLAB in numerical computations.
Literature
1. Burden, R. L., Faires, J. D.: Numerical Analysis. Cengage Learning, 2011
2. Chapra, S., Canale, R.: Numerical Methods for Engineers. McGraw-Hill Education, 2009.
Advised literature
1. Qaurteroni, A., Sacco, R., Saleri, F.: Numerical Mathematics. Springer, 2007.
2. Süli, E., Mayers, D.: An introduction to Numerical Analysis. Cambridge University Press, 2003.
3. Van Loan, C. F.: Introduction to scientific computing. Prentice Hall, Upper Saddle River, NJ 07459, 1999.