Course Details
Numerical methods 2
Academic Year 2025/26
DAB035 course is part of 24 study plans
DKA-V Winter Semester 2nd year
DKC-V Winter Semester 2nd year
DPA-V Winter Semester 2nd year
DPC-V Winter Semester 2nd year
DKA-E Winter Semester 2nd year
DKC-E Winter Semester 2nd year
DPA-E Winter Semester 2nd year
DPC-E Winter Semester 2nd year
DKA-K Winter Semester 2nd year
DKC-K Winter Semester 2nd year
DPA-K Winter Semester 2nd year
DPC-K Winter Semester 2nd year
DKA-M Winter Semester 2nd year
DKC-M Winter Semester 2nd year
DPA-M Winter Semester 2nd year
DPC-M Winter Semester 2nd year
DPC-S Winter Semester 2nd year
DPA-S Winter Semester 2nd year
DKC-S Winter Semester 2nd year
DKA-S Winter Semester 2nd year
DPC-GK Winter Semester 2nd year
DPA-GK Winter Semester 2nd year
DKC-GK Winter Semester 2nd year
DKA-GK Winter Semester 2nd year
Course Guarantor
Institute
Language of instruction
Czech
Credits
10 credits
Semester
Forms and criteria of assessment
Offered to foreign students
Course on BUT site
Lecture
13 weeks, 3 hours/week, elective
Syllabus
- 1. Formulation of the initial-value problem in ordinary differential equations of degree 1, basic properties, existence and uniqueness of solutions.
- 2. Basic numerical methods for the initial-value problems and their absolute stability.
- 3. Introduction to the variational calculus, basic spaces of integrable functions.
- 4. Classical and variational formulations of elliptic problems for ordinary differential equations of degree 2, basic physical meanings.
- 5. Standard finite difference method for elliptic problems for ordinary differential equations (ODE) of degree 2 and its stable modifications.
- 6. Approximation of boundary-value problems for second order ODE by the finite element method.
- 7. Classical and variational formulation of elliptic problems for fourth-order ODE and approximation by the finite element method.
- 8. Classical and variational formulation of elliptic problems for second-order partial differential equations.
- 9. Finite element method for elliptic problems in second-order partial differential equations.
- 10. Finite volume method.
- 11. Discretization of non-stationary problems for second-order differential equations by the method of straight-lines.
- 12. Mathematical models of flow. Nonlinear problems and problems with dominating convection.
- 13. Numerical methods for the models of flow.