This week's material
October 22, 2017 by Instructor
The material covered this week may be structured as follows:
Lecture 4 (Curs 4)
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Quasi Newton methods;
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Fixed point iterations (Metode de punct fix);
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Numerical methods for ODEs (Metode numerice pentru rezolvarea ecuațiilor diferențiale);
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Euler's method (Metoda lui Euler);
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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).
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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.