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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 |
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| Study start course | 3 | ||||
| Semesters | 5 | ||||
| Form of education | full-time | ||||
| Study hours structure |
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| 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
