Scientific Computing

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

AUDIENCE: Academia and upper undergraduates students in mathematics, electrical engineering, and computer science involved with numerical methods and differential equations general appeal to researchers in analysis.

Chapter 1. The World of Scientific Computing

Chapter 2. Linear Algebra

Chapter 3. Parallel and Vector Computing

Chapter 4. Polynomial Approximation

Chapter 5. Continuous Problems Solved Discretely

Chapter 6. Direct Solution of Linear Equations

Chapter 7. Parallel Direct Methods

Chapter 8. Iterative Mathods

Chapter 9. Conjugated Gradient-Type Methods

Bibliography Author Index Subject Index