Scientific Computing and Differential Equations: An Introduction to Numerical Methods

ISBN-13: 9780122892554 / Angielski / Twarda / 1991 / 344 str.

Gene H. Golub; James M. Ortega

Opis

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

Spis treści

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.