Overview PDE PDE ODE FD FD FD FV FV FV

Roger Peyret

Description

LogoINRIA Overview 1 PDE 1-2 PDE 2 ODE 3 FD 4 FD 5 FD 6 FV 7-8 FV 8-9 FV 10 Lectures References Roger Peyret (NICE ESSI : 89), Tim Warburton (Boston MIT : 03-05), Pierre Charrier (Bordeaux Matmeca 96-08) B. Nkonga 2009 1 / 39

• scalar nonlinear


• advection-diffusion equation


• numerical methods


• multi-dimensional extensions


• finites volumes


• finite difference

Sujets

• Warburton
• Charrier
• Convection?diffusion equation
• Numerical analysis
• Finite difference

Informations

• Publié par: pefav
• Nombre de lectures: 36

Extrait

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LecturesR´ef´nces ere

Roger Peyret (NICE ESSI : 89), Tim Warburton (Boston MIT : 03-05), Pierre Charrier (Bordeaux Matmeca 96-08)

91009/3

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Numerical Methods for PDE: Finite Differences and Finites Volumes

B. Nkonga

JAD/INRIA

2/39

2009

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4

FD for 1D scalar poisson equation (elliptic).

5

10

2

Scalar Advection-Diffusion Eqation.

3

Approximation of a Scalar 1D ODE.

Finite Difference(FD) and Finite volume(FV) : Overview

1

Modelization and Simplified models of PDE.

3/09

Scalar Nonlinear Conservation law : 1D (hyperbolic).

39

9

7

8

FV for scalar nonlinear Conservation law : 1D

FD for 1D scalar difusion equation (parabolic).

Multi-Dimensional extensions

FD for 1D scalar advection-diffusion equation.

6