Numerical Methods in Fluid Dynamics
Initial and Initial Boundary-Value Problems

Here is an introduction to numerical methods for partial differential equations with particular reference to those that are of importance in fluid dynamics.

Gary A. Sod (Author)

9780521105521, Cambridge University Press

Paperback / softback, published 19 March 2009

460 pages
22.9 x 15.2 x 2.6 cm, 0.67 kg

Here is an introduction to numerical methods for partial differential equations with particular reference to those that are of importance in fluid dynamics. The author gives a thorough and rigorous treatment of the techniques, beginning with the classical methods and leading to a discussion of modern developments. For easier reading and use, many of the purely technical results and theorems are given separately from the main body of the text. The presentation is intended for graduate students in applied mathematics, engineering and physical sciences who have a basic knowledge of partial differential equations.

1. Introduction
2. Parabolic equations
3. Hyperbolic equations
4. Hyperbolic conservation laws
5. Stability in the presence of boundaries.

Subject Areas: Numerical analysis [PBKS]