Scientific Computing and Differential Eq
β Gene H. Golub, James M. Ortega
π Library
π
1991
π Academic Press
π English
β¦ LIBER β¦
π
Scientific Computing and Differential Equations. An Introduction to Numerical Methods
β Scribed by Gene H. Golub and James M. Ortega (Auth.)
- Publisher
- Elsevier Inc
- Year
- 1991
- Tongue
- English
- Leaves
- 337
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
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
β¦ Table of Contents
Content:
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
Preface, Pages ix-xi
Chapter 1 - The World of Scientific Computing, Pages 1-14
Chapter 2 - Letting It Fly: Initial Value Problems, Pages 15-65
Chapter 3 - Pinning It Down: Boundary Value Problems, Pages 67-88
Chapter 4 - More on Linear Systems of Equations, Pages 89-143
Chapter 5 - Life Is Really Nonlinear, Pages 145-178
Chapter 6 - Is There More Than Finite Differences?, Pages 179-210
Chapter 7 - N Important Numbers, Pages 211-246
Chapter 8 - Space and Time, Pages 247-272
Chapter 9 - The Curse of Dimensionality, Pages 273-307
Appendix 1 - Analysis and Differential Equations, Pages 309-313
Appendix 2 - Linear Algebra, Pages 315-320
Bibliography, Pages 321-327
Author Index, Pages 329-331
Subject Index, Pages 333-337
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