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Numerical analysis Description

Key Elements

Code

MIAP 514

Formation

M2 Mathematics, Informatics and Applications

Semester

1

Credits

3

Number of Teaching Hours

24

Number of Tutoring Sessions

0

Number of Laboratory Sessions

0

This course is optional

Content

Objective

Content

Nonlinear PDEs. Resolution of linear systems: • Direct methods. • Iterative methods. • Descente method and conjuguate gradient. • Linear system with structured matrices (Toeplitz, Hankel, Vandermonde or Cauchy): - FFT. - Circulating Matrices. - Relations between structured matrices and polynomials and fast algorithms associated to polynomials. - Fast multiplication of a structured matrix by a vector. - Fast resolution of structured system.