Weeks 4-7
March, 26, 2021 by Instructor
The material covered these weeks may be structured as follows:
Lectures (Cursuri 4-7)
- Metode iterative pentru rezolvarea ecuațiilor neliniare.
- Metode numerice de rezolvare a ecuațiilor diferențiale. Metode explicite vs metode implicite.
- Interpolare polinomiala (Lagrange, Hermite), diferente divizate.
- Interpolare spline (spline liniar, spline-uri cubice)
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. Convergence analysis.
- Newton's method for nonlinear systems. Implementation and convergence analysis.
-
The secant method for nonlinear equations. Implementation and convergence analysis.
- Numerical methods for ODEs. Convergence and stability.
- Divided differences and polynomial interpolation.
- Spline interpolation: linear and cubic.