This weeks' material
March 23, 2019 by Instructor
The material covered this week may be structured as follows:
Weeks 4-5
-
Fixed point iterations (Metode de punct fix);
-
Numerical methods for ODEs (Metode numerice pentru rezolvarea ecuațiilor diferențiale);
-
Euler's method (Metoda lui Euler);
-
Stability: explicit vs implicit
Laboratory (Laborator).
- Iterative methods for linear systems: implementation of Jacobi, Gauss-Seidel and SOR methods
(if these were not implemented before).
-
Linear regression and the least squares method (Regresie liniară și metoda celor mai mici
pătrate)).
- Implementation of the bisection method. Matching the theoretical results with the experimental ones.
- Implementation of Newton's method and the secant method. Convergence analysis.
- Newton's method for nonlinear systems. Implementation and convergence analysis.