Download Analyse numerique avec Matlab: Indications, corriges by Merrien J. PDF

By Merrien J.

Show description

Read or Download Analyse numerique avec Matlab: Indications, corriges detailles, methodes PDF

Best software: systems: scientific computing books

Transforms and Applications Primer for Engineers with Examples and MATLAB

Transforms and purposes Primer for Engineers with Examples and MATLAB® is needed examining for engineering and technology scholars, execs, and somebody engaged on difficulties related to transforms. This useful primer comprises the main crucial essential transforms that either working towards engineers and scholars have to comprehend.

Biosignal and Medical Image Processing: MATLAB-Based Applications (Signal Processing and Communications)

Depending seriously on MATLAB® difficulties and examples, in addition to simulated information, this text/reference surveys an unlimited array of sign and snapshot processing instruments for biomedical functions, offering a operating wisdom of the applied sciences addressed whereas showcasing important implementation systems, universal pitfalls, and crucial program techniques.

Modeling of Curves and Surfaces with MATLAB®

This article on geometry is dedicated to varied crucial geometrical subject matters together with: graphs of capabilities, changes, (non-)Euclidean geometries, curves and surfaces in addition to their purposes in quite a few disciplines. This e-book offers common tools for analytical modeling and demonstrates the opportunity of symbolic computational instruments to aid the improvement of analytical options.

Intelligent Routines: Solving Mathematical Analysis with Matlab, Mathcad, Mathematica and Maple

Actual research is a self-discipline of in depth research in lots of associations of upper schooling, since it includes beneficial ideas and primary leads to the examine of arithmetic and physics, of the technical disciplines and geometry. This ebook is the 1st one in all its style that solves mathematical research issues of all 4 comparable major software program Matlab, Mathcad, Mathematica and Maple.

Additional info for Analyse numerique avec Matlab: Indications, corriges detailles, methodes

Sample text

7197 ☎ ✆ Énoncés des exercices 57 (c) En faisant varier N , étudier log | I app(h) − I | en fonction de log(N ). On tracera en particulier la courbe correspondante. Pour cette étude, on peut partir d’un tableau tabN = [1, 2, 5, 7, 10, 15, 20, 35, 50, 75, 100] et construire le tableau correspondant taberr puis dessiner log(taberr ) en fonction de log(tabN ). m. Cette étude permet de montrer numériquement que erreur C/na ou log(erreur) log(c) − a log(n). À noter que l’instruction polyfit(log(tabN),log(taberr),1) permet d’obtenir les coefficients de la droite de régression.

8. 4 Splines cubiques Il s’agit ici d’interpolation d’Hermite, fonction et dérivée. On remarque facilement que les forment une base de P3 . Donc l’existence des coefficients ak entraînera l’unicité. En dérivant par rapport à t, il vient : 1. {Bk3 } (B03 ) (t) = −3(1 − t)2 , (B13 ) (t) = 3(1 − 3t)(1 − t), (B23 ) (t) = 3t(2 − 3t), (B33 ) (t) = 3t 2 . 3 Notons que si p(x) = ak Bk3 (t), alors k=0 d p dt 1 dp = = dx dt d x b−a 3 ak k=0 d Bk3 . 6) 2. Le calcul des dérivées secondes donne : (B03 ) (t) = 6(1 − t), (B13 ) (t) = 6(−2 + 3t), (B23 ) (t) = 6(1 − 3t), (B33 ) (t) = 6t 1 d2 p (x) = et 2 dx (b − a)2 3 ak k=0 d 2 Bk3 (t).

C) Montrer que si f ∈ C M ([−1, 1]), alors  Dunod – La photocopie non autorisée est un délit E( f ) = 1 −1 f (t)dt − J ( f )  max | f (M) (t)| t∈[−1,1] M! 1 −1 M |P M (t)|dt avec P M (t) = (t − t j ). j=1 Ordre maximum Soient a1 et a2 2 réels et t1 et t2 2 réels de [−1, 1]. On considère la quadrature élémentaire J ( f ) = a1 f (t1 ) + a2 f (t2 ). Déterminer ces 4 réels pour que la quadrature soit d’ordre 3. 2. Majoration et erreur réelle Déterminer un entier n pour que la méthode des trapèzes composée à pas constant donne une erreur 3.

Download PDF sample

Rated 4.18 of 5 – based on 34 votes