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.
* An introductory chapter gives an overview of scientific
computing, indicating its important role in solving differential
equations, and placing the subject in the larger environment
* Contains an introduction to numerical methods for both ordinary
and partial differential equations
* Concentrates on ordinary differential equations, especially
boundary-value problems
* Contains most of the main topics for a first course in numerical
methods, and can serve as a text for this course
* Uses material for junior/senior level undergraduate courses in
math and computer science plus material for numerical differential
equations courses for engineering/science students at the graduate
level
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