http://www.studopory.vsb.cz
http://mdg.vsb.cz
(in Czech language)
Numerical methods
| Type of study | Follow-up Master |
|---|---|
| Language of instruction | Czech |
| Code | 230-0321/01 |
| Abbreviation | NM |
| Course title | Numerical methods |
| Credits | 5 |
| Coordinating department | Department of Mathematics |
| Course coordinator | doc. Ing. Martin Čermák, Ph.D. |
Osnova předmětu
1. Course contents, the issue of errors, the stability of calculations.
2. The solution of nonlinear equations, separation of roots, bisection method, the regula-falsi method.
3. Newton's method and fixed-point iterations.
4. Direct methods for solving linear equations, Gaussian elimination, and LU-decomposition.
5. Eigenvalues and eigenvectors, numerical calculation.
6. Iterative methods for solving linear equations.
7. Iterative methods for solving nonlinear equations.
8. Interpolation by polynomials.
9. Interpolation by splines.
10. Least squares approximation.
11. Numerical differentiation and integration, Newton-Cotes formulae.
12. Extrapolation in the calculation of integral. Gauss integration formulas.
13. Calculation of integral using Monte-Carlo method.
14. Reserve.
2. The solution of nonlinear equations, separation of roots, bisection method, the regula-falsi method.
3. Newton's method and fixed-point iterations.
4. Direct methods for solving linear equations, Gaussian elimination, and LU-decomposition.
5. Eigenvalues and eigenvectors, numerical calculation.
6. Iterative methods for solving linear equations.
7. Iterative methods for solving nonlinear equations.
8. Interpolation by polynomials.
9. Interpolation by splines.
10. Least squares approximation.
11. Numerical differentiation and integration, Newton-Cotes formulae.
12. Extrapolation in the calculation of integral. Gauss integration formulas.
13. Calculation of integral using Monte-Carlo method.
14. Reserve.
E-learning
Povinná literatura
[1] Forsythe, G., E., Malcolm, M.,A., Moler, B., C.: Computer Methods for
Mathematical Computations. Prentice –Hall, Inc., Englewood Clifs,
N.J. 07632 1977.
[2] Buchanan, J., L., Turner, P., R.: Numerical Method and Analysis.
McGraw-Hill, Inc., New York 1992. ISBN 0-07-112922-7
Mathematical Computations. Prentice –Hall, Inc., Englewood Clifs,
N.J. 07632 1977.
[2] Buchanan, J., L., Turner, P., R.: Numerical Method and Analysis.
McGraw-Hill, Inc., New York 1992. ISBN 0-07-112922-7
Doporučená literatura
[1] Stoer, J., Burlish, R.: Introduction to Numerical Analysis.
Springer-Verlag, New York, Berlin, Heidelberg 1992. ISBN 0-387-97878-X
Springer-Verlag, New York, Berlin, Heidelberg 1992. ISBN 0-387-97878-X