Scientific Computing and Differential Equations
An Introduction to Numerical Methods
- Gene Golub, Stanford University
- James Ortega, University of Virginia, Charlottesville
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.View full description
Textbook for upper undergraduate and graduate students in mathematics, electrical engineering, and computer science studying numerical methods and differential equations. General appeal to researchers in analysis.
- Published: September 1991
- Imprint: ACADEMIC PRESS
- ISBN: 978-0-12-289255-4
Table of ContentsThe World of Scientific Computing. Letting It Fly. Initial Value Problems. Pinning It Down: Boundary Value Problems. More on Linear Systems of Equations. Life Is Really Nonlinear. Is There More Than Finite Differences? N Important Numbers. Space and Time. The Curse of Dimensionality. Appendixes: Analysis of Differential Equations. Linear Algebra. Bibliography. Index.