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.
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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.


Book information

  • Published: September 1991
  • ISBN: 978-0-12-289255-4

Table of Contents

The 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.