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 / 40

• 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: 34

Extrait

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)
LogoINRIA
B. Nkonga 2009 1 / 40Overview 1 PDE 1-2 PDE 2 ODE 3 FD 4 FD 5 FD 6 FV 7-8 FV 8-9 FV 10
Numerical Methods for PDE: Finite Di erences
and Finites Volumes
B. Nkonga
JAD/INRIA
2009
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B. Nkonga 2009 2 / 40Overview 1 PDE 1-2 PDE 2 ODE 3 FD 4 FD 5 FD 6 FV 7-8 FV 8-9 FV 10
1 Finite Di erence(FD) and Finite volume(FV) : Overview
2 Modelization and Simpli ed models of PDE.
3 Scalar Advection-Di usion Eqation.
4 Approximation of a Scalar 1D ODE.
5 FD for 1D scalar poisson equation (elliptic).
6 FD for 1D scalar difusion equation (parabolic).
7 FD for 1D scalar advection-di usion equation.
8 Scalar Nonlinear Conservation law : 1D (hyperbolic).
9 FV for scalar nonlinear Conservation law : 1D
10 Multi-Dimensional extensions
LogoINRIA
B. Nkonga 2009 3 / 40Overview 1 PDE 1-2 PDE 2 ODE 3 FD 4 FD 5 FD 6 FV 7-8 FV 8-9 FV 10
Plan
1 Finite Di erence(FD) and Finite volume(FV) : Overview
2 Modelization and Simpli ed models of PDE.
3 Scalar Advection-Di usion Eqation.
4 Approximation of a Scalar 1D ODE.
5 FD for 1D scalar poisson equation (elliptic).
6 FD for 1D scalar difusion equation (parabolic).
7 FD for 1D scalar advection-di usion equation.
8 Scalar Nonlinear Conservation law : 1D (hyperbolic).
9 FV for scalar nonlinear Conservation law : 1D
10 Multi-Dimensional extensions
LogoINRIA
B. Nkonga 2009 4 / 40