Table of Contents

Part I: Fundamentals of Finite-Difference

Methods

1. Introduction

2. Partial Differential Equations

3. Basics of Finite-Difference Methods

4. Application of Finite-Difference Methods to

Selected Model Equations

Part 2: Application of Finite-Difference

Methods to the Equations of Fluid Mechanics

and Heat Transfer

5. Governing Equations of Fluid Mechanics

and Heat Transfer

6. Numerical Methods for Inviscid Flow

Equations

7. Numerical Methods for Boundary-Layer

Type Equations

8. Numerical Methods for the "Parabolized"

Navier-Stokes Equations

9. Numerical Methods for the Navier-Stokes

Equations

10. Grid Generation

Appendices, References, Index