Ficha técnica de una asignatura en una titulación

12780 Numerical Approximation Supplements - Five-year degree in Mathematics

Center

Faculty of Mathematics

Departament

Applied Mathematics

Lecturers in charge

F1058 - ANTONIO MARQUINA VILA

Met. Docent

Met. Avaluació

- -

Bibliografia

(1) Bjork i Dahlquist, Numerical methods, Prentice Hall,1974
(2) Amat, Aràndiga, Arnau, Donat, Mulet i Peris, Aproximació Numèrica, Universitat de València, 2002

Continguts

Theory contents:

1. Numerical instability.
2. Propagated error estimate: Techniques of simple and double precision.
3. Non linear equations solution:convergence acceleration.
4. The general problem of approximation.
5. Interpolation by differentiable to pieces functions: B-splines.
6. Trigonometrical interpolation.
7. Orthogonal discrete polynomials.

Practical contents:
1. Propagated error estimation.
2. Algorithms to accelerate the convergence of some root search methods .
3. Efficiency.
4. Use of the trigonometrical system in numerical approximation.
5. Approximation with B-splines.
6. Comparisons.