Scientific Computing and Differential Equations: An Introduction to Numerical Methods,
is an excellent complement to Introduction to Numerical Methods by Ortega and Poole.
The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing.
It reviews modern scientific computing, outlines its applications, and places the subject in a larger context.
This book is appropriate for upper undergraduate courses in mathematics, electrical engineering, and computer science; it is also well-suited to serve as a textbook for numerical differential equations courses at the graduate level.
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