Numerical Methods for Engineers and Scientists, Second Edition

Posted by val
September 10, 2007

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Review
A great textbook for a first course in Numerical Methods as it gives an extensive yet detailed coverage of numerical techniques that form the base for more advanced work in CFD. This book is based almost entirely on the finite difference method for solving differential equations. A chapter addresses finite element techniques but it only a primer; you will need a textbook solely devoted to FEM. This book is written for a mechanical engineer, as most of the governing equations are invariably from the areas of heat transfer, fluid flow, gas dynamics and solid mechanics.

The good points are
1. Each method described comes with a index notated formula that takes the head ache out of programming. Plus there are plenty of FORTRAN subroutines to look at.
2. Not only does Hoffman give you the finite difference equation he also throws in a solved example with one or two iterations worked out in full detail; the benefit of this cannot be overstated.
3. Plenty of practice problems with results at the back of the book.
4. Enough math to give the reader an insight into how the method works. If you care for rigor this is not the book.

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