Chapter Numerical integration

Claire Chainais-Hillairet

Description

Chapter 2 Numerical integration

• rectangular rule


• numerical integration


• constant function

Sujets

• Numerical integration
• Constant function

Informations

• Publié par: profil-urra-2012
• Nombre de lectures: 22
• Langue: English

Extrait

Chapter 2 Numerical integration

I. Motivation

Example :f(x) = cos(πx) √ x 2

+ 1 Z

2 Can we computeJ=f(x)dx? 0

Example :f(x) = cos(πx) √ x 2

+ 1 Z

2 Can we computeJ=f(x)dx? 0

Rectangular rule

Approximation by a piecewise constant function

11 p

oints

Rectangular rule (leftpoints)

Approximation by a piecewise constant function

11 points

10 subintervals

Rectangular rule (leftpoints)

Approximation by a piecewise constant function

21 points

20 subintervals

Rectangular rule

Approximation by a piecewise constant function

11 p

oints