SubjectsSubjects(version: 899)
Course, academic year 2021/2022
Numerical Methods - Z413005
Title: Numerické metody
Guaranteed by: Department of Mathematics (413)
Actual: from 2007
Semester: summer
Points: summer s.:7
E-Credits: summer s.:7
Examination process: summer s.:
Hours per week, examination: summer s.:3/2 C+Ex [hours/week]
Capacity: unknown / unknown (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
For type:  
Note: enabled for web enrollment
Guarantor: Dubcová Miroslava RNDr. Ph.D.
Is interchangeable with: N413005
Examination dates   Schedule   
Literature - Czech
Last update: Šmídová Ludmila (07.02.2006)

1. M. Kubíček., M. Dubcová., D. Janovská: Numerické metody a algoritmy, VŠCHT Praha 2005

2. M. Kubíček: Numerické algoritmy řešení chemicko- inženýrských úloh. SNTL 1983

3. M. Kubíček: Výpočtový seminář, SNTL - VŠCHT 1984.

Syllabus -
Last update: Šmídová Ludmila (07.02.2006)

1. Interpolation, difference formulas, quadrature formulas.

2. Methods of linear algebra.

3. Systems of nonlinear equations. Newton method.

4. Linear and nonlinear regression. Gauss-Newton method.

5. Initial value problem for ODE´s. One-step methods.

6. Multistep methods.

7. Stability. Error estimation.

8. Stiff systems. A-stable methods.

9. Boundary value problem for ODE´s.

10. Finite-difference methods.

11. Shooting methods.

12. Finite-difference methods for PDE´s of parabolic type.

13. Methods of lines.

14. Finite-difference methods for PDE´s of elliptic type.