Course Details

# Numerical methods 1

DAB030 course is part of 24 study plans

DKA-E Summer Semester 1st year

DKA-GK Summer Semester 1st year

DKA-K Summer Semester 1st year

DKA-M Summer Semester 1st year

DKA-S Summer Semester 1st year

DKA-V Summer Semester 1st year

DPA-E Summer Semester 1st year

DPA-GK Summer Semester 1st year

DPA-K Summer Semester 1st year

DPA-M Summer Semester 1st year

DPA-S Summer Semester 1st year

DPA-V Summer Semester 1st year

DKC-E Summer Semester 1st year

DKC-GK Summer Semester 1st year

DKC-K Summer Semester 1st year

DKC-M Summer Semester 1st year

DKC-S Summer Semester 1st year

DKC-V Summer Semester 1st year

DPC-E Summer Semester 1st year

DPC-GK Summer Semester 1st year

DPC-K Summer Semester 1st year

DPC-M Summer Semester 1st year

DPC-S Summer Semester 1st year

DPC-V Summer Semester 1st year

Course Guarantor

Institute

Language of instruction

Czech

Credits

4 credits

Semester

summer

Forms and criteria of assessment

course-unit credit

Offered to foreign students

Not to offer

Course on BUT site

Lecture

13 weeks, 3 hours/week, elective

Syllabus

1. Errors in numerical calculations. Numerical methods for one nonlinear equation in one unknown 2. Basic principles of iterative methods. The Banach fixed-point theorem. 3. Norms of vectors and of matrices, eigenvalues and eigenvectors of matrices. Iterative methods for systems of linear algebraic equations – part I. 4. Iterative methods for linear algebraic equations – part II. Iterative methods for systems of nonlinear equations. 5. Direct methods for systems of linear algebraic equations, LU-decomposition. Systems of linear algebraic equations with special matrice – part I. 6. Systems of linear algebraic equations with special matrices – part II. The methods based on the minimization of a quadratic form. 7. Computing inverse matrices and determinants, the stability and the condition number of a matrix. 8. Eigenvalues of matrices – the power method. Basic principles of interpolation. 9. Polynomial interpolation. 10. Interpolation by means of splines. Orthogonal polynoms. 11. Approximation by the discrete least squares. 12. Numerical differentiation, Richardson´s extrapolation. Numerical integration of functions in one variables – part I. 13. Numerical integration of functions in one variables – part II. Numerical integration of functions in two variables.