Scientific Computing. An Introduction with Parallel Computing

✍ Scribed by Gene H. Golub and James M. Ortega (Auth.)

• Publisher: Elsevier Inc, Academic Press
• Year: 1993
• Tongue: English
• Leaves: 442
• Category: Library

✦ Synopsis

This book introduces the basic concepts of parallel and vector computing in the context of an introduction to numerical methods. It contains chapters on parallel and vector matrix multiplication and solution of linear systems by direct and iterative methods. It is suitable for advanced undergraduate and beginning graduate courses in computer science, applied mathematics, and engineering. Ideally, students will have access to a parallel or Vector computer, but the material can be studied profitably in any case.

Gives a modern overview of scientific computing including parallel an vector computation
Introduces numerical methods for both ordinary and partial differential equations
Has considerable discussion of both direct and iterative methods for linear systems of equations, including parallel and vector algorithms
Covers most of the main topics for a first course in numerical methods and can serve as a text for this course

✦ Table of Contents

Content:
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
Preface, Pages ix-x
Chapter 1 - The World of Scientific Computing, Pages 1-14
Chapter 2 - Linear Algebra, Pages 15-48
Chapter 3 - Parallel and Vector Computing, Pages 49-89
Chapter 4 - Polynomial Approximation, Pages 91-135
Chapter 5 - Continuous Problems Solved Discretely, Pages 137-213
Chapter 6 - Direct Solution of Linear Equations, Pages 215-274
Chapter 7 - Parallel Direct Methods, Pages 275-320
Chapter 8 - Iterative Methods, Pages 321-369
Chapter 9 - Conjugate Gradient-Type Methods, Pages 371-412
Bibliography, Pages 413-428
Author Index, Pages 429-433
Subject Index, Pages 435-442