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Ukončeno v akademickém roce 2019/2020
Numerical methods
| Type of study | Follow-up Master |
|---|---|
| Language of instruction | Czech |
| Code | 714-0087/01 |
| Abbreviation | NM |
| Course title | Numerical methods |
| Credits | 5 |
| Coordinating department | Department of Mathematics and Descriptive Geometry |
| Course coordinator | doc. Ing. Martin Čermák, Ph.D. |
Osnova předmětu
1. Course contents, the issue of errors, stability of calculations.
2. Solution of nonlinear equations, separation of roots, bisection method, 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 integrals. Gaussian integration formulas.
13. Numerical integration by Monte-Carlo method.
14. Reserve.
2. Solution of nonlinear equations, separation of roots, bisection method, 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 integrals. Gaussian integration formulas.
13. Numerical integration by 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