Course Details

Numerical methods 2

DAB035 course is part of 24 study plans

DKA-E Winter Semester 2nd year

DKA-GK Winter Semester 2nd year

DKA-K Winter Semester 2nd year

DKA-M Winter Semester 2nd year

DKA-S Winter Semester 2nd year

DKA-V Winter Semester 2nd year

DPA-E Winter Semester 2nd year

DPA-GK Winter Semester 2nd year

DPA-K Winter Semester 2nd year

DPA-M Winter Semester 2nd year

DPA-S Winter Semester 2nd year

DPA-V Winter Semester 2nd year

DKC-E Winter Semester 2nd year

DKC-GK Winter Semester 2nd year

DKC-K Winter Semester 2nd year

DKC-M Winter Semester 2nd year

DKC-S Winter Semester 2nd year

DKC-V Winter Semester 2nd year

DPC-E Winter Semester 2nd year

DPC-GK Winter Semester 2nd year

DPC-K Winter Semester 2nd year

DPC-M Winter Semester 2nd year

DPC-S Winter Semester 2nd year

DPC-V Winter Semester 2nd year

Course Guarantor

Institute

Language of instruction

Czech

Credits

10 credits

Semester

winter

Forms and criteria of assessment

examination

Offered to foreign students

Not to offer

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.