Adv. Numeric Analysis
- Error Analysis and stability: Rounding error analysis, stability, consistency and convergence (Lax equivalence theorem), condition number, posteriori and periori error
analysis
Approximation theory: best approximation, Weierstrass theorem, uniform approximation, chebyshev polynomials and their properties, L2 best approximation, normal equations, orthogonal polynomials and their properties, Fourier approximation...
polynomial , rational , trigonometric and spline interpolation: existence