Syllabus

Select major*

Ternopil Ivan Puluj National Technical University

Факультет комп'ютерно-інформаційних систем і програмної інженерії

Кафедра комп'ютерних наук

Numerical methods

syllabus

Major 122 - Комп’ютерні науки та інформаційні технології (бакалавр)
Field of knowledge 12 Інформаційні технології
Academic degree bachelor's
Course
Course type required
general education
Study start course 3
Semesters 5
Form of education full-time
Study hours structure
16– lectures
32– practical classes
ECTS credits 4
Form of final examination credit
Lecturer
Academic degree Sc.D.
Academic title Prof.
Full name Oleh Yasniy
Course description
Lectures 1. Introduction to significant digits and errors. Solution of system of linear equations (direct methods, Iterative methods, Ill-conditioned systems)
2. Roots of Nonlinear Equations (Bisection method, Regula-Falsi method, Newton-Raphson method, Fixed point iteration method, convergence criteria
3. Eigenvalues and Eigenvectors, Gerschgorin circle theorem , Jacobi method, Power methods
4. Interpolation (Finite difference operators, difference tables, Newton's Forward/Backward difference)
5. Interpolation ( Central difference formula's i.e. Bessel and Stirling’s interpolation formulae, Divided differences, Lagrange interpolation and Newton’s divided difference interpolation)
6. Numerical Differentiation (Using Forward/ Backward/central difference formula)
7. Integration (Trapezoidal and Simpson's rules for integration)
8. Solution of first order and second order ordinary differential equations (Euler method, Euler modified method, Runge-Kutta methods, Milne PC method
Course author
Sc.D., Prof. Oleh Yasniy 
Дата останнього оновлення: 2020-12-05 13:10:31