Course: Numerical Methods

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Course title Numerical Methods
Course code KI/ENME
Organizational form of instruction Lecture + Lesson
Level of course unspecified
Year of study not specified
Semester Winter and summer
Number of ECTS credits 7
Language of instruction English
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • Babichev Sergii, prof. DSc.
  • Kubera Petr, RNDr. Ph.D.
  • Škvor Jiří, RNDr. Ph.D.
Course content
1. Function approximation, Lagrange interpolation 2. Definition of spline function, interpolation via spline-construction, derivation 3. Numerical quadrature, Newton-Cotes rules 4. Romberg's quadrature method, Gaussian quadrature rules 5. Method for nonlinear equations, Newton's (Newton-Rhapson) method 6. Fixed point method, root finding for polynomials, Horner scheme 7. System of linear equation, conditional number, Gaussian elimination 8. LU factorization, Cholesky and QR factorization 9. Basic iterative methods for the solution of linear algebraic equations 10. Eigenvalues of matrix, power method 11. Numerical solution of ODE, one step methods, Runge-Kutta methods 12. Gradient methods

Learning activities and teaching methods
unspecified
Learning outcomes
Prerequisites
unspecified

Assessment methods and criteria
unspecified
Basic from linear algebra (vectors, matrices, vector spaces) and analysis.
Recommended literature


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester