This introduction to finite difference and finite element methods
is aimed at graduate students who need to solve differential
equations. The prerequisites are few (basic calculus, linear
algebra, and ODEs) and so the book will be accessible and useful to
readers from a range of disciplines across science and engineering.
Part I begins with finite difference methods. Finite element
methods are then introduced in Part II. In each part, the authors
begin with a comprehensive discussion of one-dimensional problems,
before proceeding to consider two or higher dimensions. An emphasis
is placed on numerical algorithms, related mathematical theory, and
essential details in the implementation, while some useful packages
are also introduced. The authors also provide well-tested MATLAB
(R) codes, all available online.
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