Since the publication of the first edition, research in and applications of numerical analysis have expanded rapidly. The past few years have witnessed
the maturation of numerical fluid mechanics and finite element techniques.
Numerical fluid mechanics is addressed in substance in this second edition.
I have also added material in several other areas of promise, including hop-
scotch and other explicit-implicit methods, Monte Carlo techniques, lines,
the fast Fourier transform, and fractional steps methods. A new sixth
chapter introduces the general concepts of weighted residuals, with emphasis
on orthogonal collocation and the Bubnov-Galerkin method. In turn, the
latter procedure is used to introduce the finite element concepts.
The spirit of the first edition was to be as self-contained as possible, to
present many applications illustrating the theory, and to supply a substantial
number of recent references to supplement the text material. This spirit has
been retained — there are 38 more problems and 138 additional references.
Also, a substantial number of additional applications have been included
and references to others appended.
I wish to extend my special thanks to Ms. Mildred Buckalew for the
preparation of an outstanding manuscript on the typewriter.