Numerical Methods for Engineering - AP413003
Title: Numerical Methods for Engineering
Guaranteed by: Department of Mathematics, Informatics and Cybernetics (446)
Faculty: Faculty of Chemical Engineering
Actual: from 2024
Semester: both
Points: 0
E-Credits: 0
Examination process:
Hours per week, examination: 3/0, other [HT]
Capacity: winter:unknown / unknown (unknown)
summer:unknown / unknown (unknown)
Min. number of students: unlimited
State of the course: taught
Language: English
Teaching methods: full-time
Teaching methods: full-time
Level:  
Note: course is intended for doctoral students only
can be fulfilled in the future
you can enroll for the course in winter and in summer semester
Guarantor: Dubcová Miroslava RNDr. Ph.D.
Červená Lenka RNDr. Ph.D.
Classification: Mathematics > Mathematics General
Interchangeability : P413003
Examination dates   
Annotation -
The course covers a number of numerical problems the student encounters during the doctoral studies at UCT: numerical methods of linear algebra, interpolation, solution of nonlinear algebraic equations, solution of ordinary and partial differential equations and evaluation of experimental data.
Last update: Pátková Vlasta (16.11.2018)
Aim of the course -

Students will learn to choose a suitable numerical method for solution a mathematical model consisting of algebraic or differential equations.

Last update: Pátková Vlasta (16.11.2018)
Course completion requirements -

Individual project, written exam, oral exam

Last update: Pátková Vlasta (16.11.2018)
Literature -

F. Apperson, An Introduction to Numerical Methods and Analysis, John Wiley & Sons, 2001, ISBN 0-471-31647-4

J. Stoer, R. Bulirsh: Introduction to Numerical Analysis, 3rd ed., Springer New York, 2002,ISBN 978-1441930064

Further literature individually.

Last update: Jahoda Milan (28.11.2018)
Teaching methods -

Studying literature and a individual project.

Last update: Pátková Vlasta (16.11.2018)
Syllabus -

1. Interpolation, interpolation by spline functions.

2. Difference formulas, quadrature formulas.

3. Methods of linear algebra.

4. Systems of nonlinear equations. Newton method.

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

6. Multistep methods. Stability. Error estimation.

7. Stiff systems. A-stable methods.

8. Boundary value problem for ODE´s. Finite-difference methods.

9. Shooting methods.

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

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

12. Methods of lines.

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

14. Linear and nonlinear regression.

15. Individual projekt.

Last update: Pátková Vlasta (16.11.2018)
Registration requirements -

none

Last update: Pátková Vlasta (16.11.2018)