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Extra resources for Methodes d'analyse numerique

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4 M´ ethode de Brent . . . . . . . . 5 Newton-Raphson . . . . . . . . . 6 Racines de Polynˆ omes . . . . . . . 1 R´eduction polynomiale . . . . . . . 2 M´ethode de Laguerre . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . . . 33 34 35 35 36 37 37 38 38 39 Introduction L’une des tˆaches rencontr´ees fr´equemment lors d’un calcul est la recherche de la racine d’une ´equation. 1) Si x est une variable scalaire, le probl`eme est unidimensionnel.

1 Equation du premier ordre lin´eaire et quasi-lin´eaire . 2 Surface solution . . . . . . . . . . . 3 Exemple . . . . . . . . . . . . . Classification des EPDL du second ordre . . . Equations avec conditions aux fronti` eres . . . 1 Introduction . . . . . . . . . . . 2 Diff´erences finies . . . . . . . . . . 3 M´ethodes matricielles . . . . . . . . . 4 M´ethodes de relaxation . . . . . . . . 5 M´ethodes de Fourier . . . . .

M´ ethode de Ridder . . . . . . . . 1 M´ethode de la position fausse . . . . . 2 M´ethode de Ridder . . . . . . . . 4 M´ ethode de Brent . . . . . . . . 5 Newton-Raphson . . . . . . . . . 6 Racines de Polynˆ omes . . . . . . . 1 R´eduction polynomiale . . . . . . . 2 M´ethode de Laguerre . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . . . 33 34 35 35 36 37 37 38 38 39 Introduction L’une des tˆaches rencontr´ees fr´equemment lors d’un calcul est la recherche de la racine d’une ´equation.

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