Numerical Methods in Fluid Dynamics

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.

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